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Volumn , Issue , 2002, Pages 1-385

Continuum models for phase transitions and twinning in crystals

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EID: 84903220192     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (103)

References (430)
  • 1
    • 85057504542 scopus 로고
    • Hilbert’s invariant theory papers. In: Lie groups: History, frontiers and applications
    • Press, Brookline, Mass., USA
    • Ackerman, M. and R. Hermann (1978) Hilbert’s invariant theory papers. In: Lie groups: history, frontiers and applications, Vol. 8, Math. Sci. Press, Brookline, Mass., USA.
    • (1978) Math. Sci. , vol.8
    • Ackerman, M.1    Hermann, R.2
  • 3
    • 0034498595 scopus 로고    scopus 로고
    • On matrix equations of twinning in crystals
    • Adeleke, S. A. (2000) On matrix equations of twinning in crystals, Math. Mech. Solids, 5, 395–415.
    • (2000) Math. Mech. Solids , vol.5 , pp. 395-415
    • Adeleke, S.A.1
  • 5
    • 0342267476 scopus 로고    scopus 로고
    • On the classification of monoatomic crystal multilattices
    • to appear
    • Adeleke, S. A. (2001b) On the classification of monoatomic crystal multilattices, Math. Mech. Solids, to appear.
    • (2001) Math. Mech. Solids
    • Adeleke, S.A.1
  • 7
    • 85057490854 scopus 로고
    • Singularités des applications différentiables (2 volumes). Éditions Mir
    • Arnold, V., A. Varchenko and S. Goussein-Zadé (1986) Singularités des applications différentiables (2 volumes). Éditions Mir, Moscou.
    • (1986) Moscou
    • Arnold, V.1    Varchenko, A.2    Goussein-Zadé, S.3
  • 8
    • 0023288717 scopus 로고
    • Microtwinning in NiMn resulting fromthe β → θ martensitic transformation
    • Baele, I., G. van Tendeloo and S. Amelinckx (1987) Microtwinning in NiMn resulting fromthe β → θ martensitic transformation, Acta Metall., 35, 401– 412.
    • (1987) Acta Metall , vol.35 , pp. 401-412
    • Baele, I.1    van Tendeloo, G.2    Amelinckx, S.3
  • 10
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • Ball, J. M. (1977b) Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal., 63, 337–403.
    • (1977) Arch. Rat. Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 12
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • Ball, J. M. and R. D. James (1987) Fine phase mixtures as minimizers of energy, Arch. Rat. Mech. Anal., 100, 13–52.
    • (1987) Arch. Rat. Mech. Anal. , vol.100 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 13
    • 0002854369 scopus 로고
    • Proposed experimental test of a theory of fine microstructure and the two well problem
    • Ball, J. M. and R. D. James (1992) Proposed experimental test of a theory of fine microstructure and the two well problem, Phil. Trans. R. Soc. London, A338, 389–450.
    • (1992) Phil. Trans. R. Soc. London, A , vol.338 , pp. 389-450
    • Ball, J.M.1    James, R.D.2
  • 15
    • 0020810817 scopus 로고
    • Bifurcation and stability of homogeneous equilibriumconfigurations of an elastic body under dead-load tractions
    • Ball, J. M. and D. Shaeffer (1983) Bifurcation and stability of homogeneous equilibriumconfigurations of an elastic body under dead-load tractions, Math. Proc. Camb. Phil. Soc., 94, 315–339.
    • (1983) Math. Proc. Camb. Phil. Soc. , vol.94 , pp. 315-339
    • Ball, J.M.1    Shaeffer, D.2
  • 16
    • 0008675649 scopus 로고
    • Hysteresis during stress-induced variant rearrangement
    • Ball, J. M., C. Chu and R. James (1995) Hysteresis during stress-induced variant rearrangement, J. de Physique IV (C8), 5, 245–251.
    • (1995) J. De Physique IV , pp. 245-251
    • Ball, J.M.1    Chu, C.2    James, R.3
  • 17
    • 0000966233 scopus 로고
    • Null Lagrangians, weak continuity, and variational problems of arbitrary order
    • Ball, J. M., J. Currie and P. Olver (1981) Null Lagrangians, weak continuity, and variational problems of arbitrary order, J. Funct. Anal., 41, 135–174.
    • (1981) J. Funct. Anal. , vol.41 , pp. 135-174
    • Ball, J.M.1    Currie, J.2    Olver, P.3
  • 18
    • 0001688467 scopus 로고
    • Equilibriumvacancy concentration measurements on zinc single crystals
    • Balzer, R. and H. Sigvaldson (1979) Equilibriumvacancy concentration measurements on zinc single crystals, J. of Phys. F: Metal. Phys., 9, 171–178.
    • (1979) J. of Phys. F: Metal. Phys. , vol.9 , pp. 171-178
    • Balzer, R.1    Sigvaldson, H.2
  • 20
    • 0000095072 scopus 로고
    • Experiments on the martensitic transformations in single crystals of indium-thallium alloys
    • Basinski, Z. and J. Christian (1954) Experiments on the martensitic transformations in single crystals of indium-thallium alloys, Acta Metall., 2, 149–166.
    • (1954) Acta Metall , vol.2 , pp. 149-166
    • Basinski, Z.1    Christian, J.2
  • 22
    • 0001463890 scopus 로고
    • Etude radiocristal-lographique de variation de volume pour quelques materiaux subissant des transformations de phase solide-solide
    • Berger, C., M. Eyraud, M. Richard and R. Riviere (1966) Etude radiocristal-lographique de variation de volume pour quelques materiaux subissant des transformations de phase solide-solide, Bull. Soc. Chim. Fr., 106, 628.
    • (1966) Bull. Soc. Chim. Fr. , vol.106 , pp. 628
    • Berger, C.1    Eyraud, M.2    Richard, M.3    Riviere, R.4
  • 23
    • 49949120418 scopus 로고
    • On the crystallography of deformation twinning in alpha-uranium
    • Bevis, M. (1968) On the crystallography of deformation twinning in alpha-uranium, J. of Nucl. Mater., 26, 235–237.
    • (1968) J. of Nucl. Mater. , vol.26 , pp. 235-237
    • Bevis, M.1
  • 24
    • 0039748325 scopus 로고
    • Twinning shears in lattices
    • Bevis, M. and A. Crocker (1968) Twinning shears in lattices, Proc. Roy. Soc. London, A304, 123–134.
    • (1968) Proc. Roy. Soc. London , vol.A304 , pp. 123-134
    • Bevis, M.1    Crocker, A.2
  • 25
  • 26
    • 2842545179 scopus 로고
    • Deformation and transformation twinning modes in Fe-Ni and Fe-Ni-C martensites
    • Bevis, M., P. Rowlands and A. Acton (1968) Deformation and transformation twinning modes in Fe-Ni and Fe-Ni-C martensites, Trans. Met. Soc. AIME, 242, 1555–1558.
    • (1968) Trans. Met. Soc. AIME , vol.242 , pp. 1555-1558
    • Bevis, M.1    Rowlands, P.2    Acton, A.3
  • 28
    • 0026237525 scopus 로고
    • Wedge-like microstructure in martensites
    • Bhattacharya, K. (1991) Wedge-like microstructure in martensites, Acta Metall. Mater., 39, 2431–2444.
    • (1991) Acta Metall. Mater. , vol.39 , pp. 2431-2444
    • Bhattacharya, K.1
  • 29
    • 0345406326 scopus 로고
    • Self-accommodation in martensite
    • Bhattacharya, K. (1992) Self-accommodation in martensite, Arch. Rat. Mech. Anal., 120, 201–244.
    • (1992) Arch. Rat. Mech. Anal. , vol.120 , pp. 201-244
    • Bhattacharya, K.1
  • 30
    • 0001657994 scopus 로고
    • Comparison of the geometrically nonlinear and linear theories of martensitic transformations
    • Bhattacharya, K. (1993) Comparison of the geometrically nonlinear and linear theories of martensitic transformations, Cont. Mech. Thermodyn., 5, 205–242.
    • (1993) Cont. Mech. Thermodyn. , vol.5 , pp. 205-242
    • Bhattacharya, K.1
  • 32
    • 0033098284 scopus 로고    scopus 로고
    • A theory of thin films of martensitic materials with application to microactuators
    • Bhattacharya, K. and R. James (1999) A theory of thin films of martensitic materials with application to microactuators, J. Mech. Phys. Solids, 47, 531– 576.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 531-576
    • Bhattacharya, K.1    James, R.2
  • 33
    • 0030085741 scopus 로고    scopus 로고
    • Symmetry, texture, and the recoverable strain of shape-memory polycrystals
    • Bhattacharya, K. and R. V. Kohn (1996) Symmetry, texture, and the recoverable strain of shape-memory polycrystals, Acta Metall. Mater., 44, 529–542.
    • (1996) Acta Metall. Mater. , vol.44 , pp. 529-542
    • Bhattacharya, K.1    Kohn, R.V.2
  • 34
    • 0031240687 scopus 로고    scopus 로고
    • Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials
    • Bhattacharya, K. and R. V. Kohn (1997) Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials, Arch. Rat. Mech. Anal., 139, 99–180.
    • (1997) Arch. Rat. Mech. Anal. , vol.139 , pp. 99-180
    • Bhattacharya, K.1    Kohn, R.V.2
  • 35
    • 0003875723 scopus 로고
    • A nonlinear dynamic model for twin relaxation with applications to AuCd47.5at% and other shape-memory materials
    • Yoo, M. and M. Wuttig (eds.), Theoretical Materials Science, New York
    • Bhattacharya, K., R. D. James and P. Swart (1993) A nonlinear dynamic model for twin relaxation with applications to AuCd47.5at% and other shape-memory materials. In: Yoo, M. and M. Wuttig (eds.) Twinning in advanced materials, Theoretical Materials Science, New York.
    • (1993) Twinning in Advanced Materials
    • Bhattacharya, K.1    James, R.D.2    Swart, P.3
  • 37
    • 0001745668 scopus 로고
    • Über die Bewegungsgruppen der Euklidische Räume
    • Bieberbach, L. (1912) Über die Bewegungsgruppen der Euklidische Räume, Math. Ann., 72, 400–412.
    • (1912) Math. Ann. , vol.72 , pp. 400-412
    • Bieberbach, L.1
  • 39
    • 0000202947 scopus 로고
    • The theory of crystallography of deformation twinning
    • London
    • Bilby, B. and A. Crocker (1965) The theory of crystallography of deformation twinning, Proc. Roy. Soc. London, A288, 240–255.
    • (1965) Proc. Roy. Soc. , vol.A288 , pp. 240-255
    • Bilby, B.1    Crocker, A.2
  • 44
    • 30244500749 scopus 로고
    • The crystallography of martensitic transformations
    • 138–147
    • Bowles, J. and J. MacKenzie (1954) The crystallography of martensitic transformations, Acta Metall. Mater., 2, 129–137, 138–147.
    • (1954) Acta Metall. Mater. , vol.2 , pp. 129-137
    • Bowles, J.1    Mackenzie, J.2
  • 46
    • 0002634817 scopus 로고
    • Mémoire sur les systèmes formés par des points distribués régulièrement sur un plan ou dans l’espace
    • Bravais, A. (1850) Mémoire sur les systèmes formés par des points distribués régulièrement sur un plan ou dans l’espace, Journal de l’École Polytechnique, 19, 1–128.
    • (1850) Journal De l’École Polytechnique , vol.19 , pp. 1-128
    • Bravais, A.1
  • 47
    • 0027660307 scopus 로고
    • On the mechanics of stress-induced phase transformations in zirconia
    • Budiansky, B. and L. Truskinovsky (1993) On the mechanics of stress-induced phase transformations in zirconia, J. Mech. Phys. Solids, 41, 1445–1459.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1445-1459
    • Budiansky, B.1    Truskinovsky, L.2
  • 48
    • 0000915186 scopus 로고
    • The genesis of twin crystals
    • Buerger, M. (1945) The genesis of twin crystals, American Mineralogist, 30, 469–490.
    • (1945) American Mineralogist , vol.30 , pp. 469-490
    • Buerger, M.1
  • 51
    • 84996210030 scopus 로고
    • Martensitic transformations in titanium-tantalumalloys
    • Bywater, K. and J. Christian (1972) Martensitic transformations in titanium-tantalumalloys, Phil. Mag., 25, 1249–1272.
    • (1972) Phil. Mag. , vol.25 , pp. 1249-1272
    • Bywater, K.1    Christian, J.2
  • 52
    • 0002463755 scopus 로고
    • Plastic deformation of alpha-uranium; twinning and slip
    • Cahn, R. (1953) Plastic deformation of alpha-uranium; twinning and slip, Acta Metall. Mater., 1, 49–74.
    • (1953) Acta Metall. Mater. , vol.1 , pp. 49-74
    • Cahn, R.1
  • 55
    • 0011454077 scopus 로고
    • Morse families and constrained mechanical systems. Generalized hyperelastic materials
    • Cardin, F. (1991) Morse families and constrained mechanical systems. Generalized hyperelastic materials, Meccanica, 26, 161–167.
    • (1991) Meccanica , vol.26 , pp. 161-167
    • Cardin, F.1
  • 56
    • 33749388166 scopus 로고
    • Some topological properties of generalized hyperelastic materials
    • Cardin, F. and M. Spera (1995) Some topological properties of generalized hyperelastic materials, Meccanica, 30, 727–734.
    • (1995) Meccanica , vol.30 , pp. 727-734
    • Cardin, F.1    Spera, M.2
  • 59
    • 79952008327 scopus 로고
    • Sur les équations differentielles d’equilibre ou de mouvement pour un système de points matériels, sollicités par des forces d’attraction ou de répulsion mutuelle
    • Cauchy, A.-L. (1829) Sur les équations differentielles d’equilibre ou de mouvement pour un système de points matériels, sollicités par des forces d’attraction ou de répulsion mutuelle, Ex. de Math., 4, 342–369.
    • (1829) Ex. De Math. , vol.4 , pp. 342-369
    • Cauchy, A.-L.1
  • 60
    • 0028517923 scopus 로고
    • On the kinematics of incoherent phase transitions
    • Cermelli, P. and M. E. Gurtin (1994) On the kinematics of incoherent phase transitions, Acta Metall. Mater., 42, 3349–3359.
    • (1994) Acta Metall. Mater. , vol.42 , pp. 3349-3359
    • Cermelli, P.1    Gurtin, M.E.2
  • 61
    • 22244471693 scopus 로고    scopus 로고
    • A note on the model of crystalline defects in Ericksen-Pitteri neighborhoods
    • Cermelli, P. and E. Mazzucco (1996) A note on the model of crystalline defects in Ericksen-Pitteri neighborhoods, Physica D, 99, 350–358.
    • (1996) Physica D , vol.99 , pp. 350-358
    • Cermelli, P.1    Mazzucco, E.2
  • 62
    • 0001075034 scopus 로고
    • The polymorphic transformations of zirconia
    • Chan, S. (1988) The polymorphic transformations of zirconia, Physica B, 150, 212–222.
    • (1988) Physica B , vol.150 , pp. 212-222
    • Chan, S.1
  • 63
    • 0001246325 scopus 로고
    • Equilibriumconfigurations of crystals
    • Chipot, M. and D. Kinderlehrer (1988) Equilibriumconfigurations of crystals, Arch. Rat. Mech. Anal., 103, 237–277.
    • (1988) Arch. Rat. Mech. Anal. , vol.103 , pp. 237-277
    • Chipot, M.1    Kinderlehrer, D.2
  • 64
    • 21844504886 scopus 로고
    • Numerical analysis of oscillations in multiple well problems
    • Chipot, M., C. Collins and D. Kinderlehrer (1995) Numerical analysis of oscillations in multiple well problems, Num. Mat., 70, 259–282.
    • (1995) Num. Mat. , vol.70 , pp. 259-282
    • Chipot, M.1    Collins, C.2    Kinderlehrer, D.3
  • 66
    • 0020116356 scopus 로고
    • Deformation by moving interfaces
    • Christian, J. (1982) Deformation by moving interfaces, Metall. Transactions, A13, 509–538.
    • (1982) Metall. Transactions , vol.A13 , pp. 509-538
    • Christian, J.1
  • 68
    • 0002292369 scopus 로고
    • Material symmetry and thermostatic inequalities in finite elastic deformations
    • Coleman, B. D. and W. Noll (1964) Material symmetry and thermostatic inequalities in finite elastic deformations, Arch. Rat. Mech. Anal., 15, 87–111.
    • (1964) Arch. Rat. Mech. Anal. , vol.15 , pp. 87-111
    • Coleman, B.D.1    Noll, W.2
  • 69
    • 0002058256 scopus 로고
    • Rascle, M., D. Serre and M. Slemrod (eds.) Partial differential equations and continuum models of phase transitions, Lecture Notes in Physics, Springer Verlag, New York, etc
    • Collins, C. and M. Luskin (1989) The computation of the austenitic-martensitic phase transition. In: Rascle, M., D. Serre and M. Slemrod (eds.) Partial differential equations and continuum models of phase transitions, Lecture Notes in Physics, vol. 344, Springer Verlag, New York, etc.
    • (1989) The Computation of the Austenitic-Martensitic Phase Transition , vol.344
    • Collins, C.1    Luskin, M.2
  • 70
    • 84966255684 scopus 로고
    • Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem
    • Collins, C. and M. Luskin (1991) Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem, Mathematics of Computation, 57, 621–637.
    • (1991) Mathematics of Computation , vol.57 , pp. 621-637
    • Collins, C.1    Luskin, M.2
  • 71
    • 0026136907 scopus 로고
    • Numerical approximation of the solution of a variational problemwith a double well potential
    • Collins, C., D. Kinderlehrer and M. Luskin (1991) Numerical approximation of the solution of a variational problemwith a double well potential, SIAM J. of Numer. Anal., 28, 321–332.
    • (1991) SIAM J. of Numer. Anal. , vol.28 , pp. 321-332
    • Collins, C.1    Kinderlehrer, D.2    Luskin, M.3
  • 72
    • 0001830197 scopus 로고
    • J.L. Ericksen, R. James, D. Kinderlehrer and M. Luskin (eds.) Microstructure and phase transition, of the IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, Berlin, Heidelberg, etc
    • Collins, C., M. Luskin and J. Riordan (1993) Computational results for a two-dimensional model of crystalline microstructure. In: J.L. Ericksen, R. James, D. Kinderlehrer and M. Luskin (eds.) Microstructure and phase transition, Vol. 54 of the IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, Berlin, Heidelberg, etc.
    • (1993) Computational Results for a Two-Dimensional Model of Crystalline Microstructure , vol.54
    • Collins, C.1    Luskin, M.2    Riordan, J.3
  • 73
    • 0034413821 scopus 로고    scopus 로고
    • Branched microstructures: Scaling and asymptotic self-similarity
    • Preprint 73/1999 MPI-MIS Leipzig
    • Conti, S. (2000) Branched microstructures: scaling and asymptotic self-similarity, Comm. Pure Appl. Math., 53, 1448–1474. Preprint 73/1999 MPI-MIS Leipzig.
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 1448-1474
    • Conti, S.1
  • 74
    • 85057500864 scopus 로고    scopus 로고
    • Elastic potentials for reconstructive phase transformations
    • Max-Planck-Institut, Leipzig
    • Conti, S. and G. Zanzotto (2002) Elastic potentials for reconstructive phase transformations. Preprint, Max-Planck-Institut, Leipzig.
    • (2002) Preprint
    • Conti, S.1    Zanzotto, G.2
  • 75
    • 0036642594 scopus 로고    scopus 로고
    • Soft elastic response of stretched sheets of nematic elastomers: A numerical study
    • press
    • Conti, S., A. DeSimone and G. Dolzmann (2002) Soft elastic response of stretched sheets of nematic elastomers: a numerical study, J. Mech. Phys. Solids, 50, in press.
    • (2002) J. Mech. Phys. Solids , pp. 50
    • Conti, S.1    Desimone, A.2    Dolzmann, G.3
  • 76
    • 77249119139 scopus 로고
    • Double twinning
    • Crocker, A. (1962) Double twinning, Phil. Mag., 7, 1901–1926.
    • (1962) Phil. Mag. , vol.7 , pp. 1901-1926
    • Crocker, A.1
  • 77
    • 0001721518 scopus 로고
    • The crystallography of deformation twinning in alpha-uranium
    • Crocker, A. (1965) The crystallography of deformation twinning in alpha-uranium, J. of Nucl. Mater., 16, 306–326.
    • (1965) J. of Nucl. Mater. , vol.16 , pp. 306-326
    • Crocker, A.1
  • 78
    • 0020312880 scopus 로고
    • The phenomenological theory of martensite crystallography
    • Suppl. n. 12
    • Crocker, A. (1982) The phenomenological theory of martensite crystallography, Journal de Physique, 43, 209–214. Suppl. n. 12.
    • (1982) Journal De Physique , vol.43 , pp. 209-214
    • Crocker, A.1
  • 79
    • 4243073703 scopus 로고
    • The crystallography of deformation twinning in titanium
    • Jaffee, T. and R. Promisel (eds.), Pergamon Press, Oxford, London, etc
    • Crocker, A. and M. Bevis (1970) The crystallography of deformation twinning in titanium. In: Jaffee, T. and R. Promisel (eds.) The science, technology and application of Titanium, Pergamon Press, Oxford, London, etc.
    • (1970) The Science, Technology and Application of Titanium
    • Crocker, A.1    Bevis, M.2
  • 80
    • 84996208376 scopus 로고
    • A single surface analysis of deformation twins in crystalline mercury
    • Crocker, A., F. Heckscer, M. Bevis and D. Guyoncourt (1966) A single surface analysis of deformation twins in crystalline mercury, Phil. Mag., 13, 1191– 1205.
    • (1966) Phil. Mag. , vol.13 , pp. 1191-1205
    • Crocker, A.1    Heckscer, F.2    Bevis, M.3    Guyoncourt, D.4
  • 83
    • 38249011074 scopus 로고
    • On the optimality of certain Sobolev exponents for the weak continuity of determinants
    • Dacorogna, B. and F. Murat (1992) On the optimality of certain Sobolev exponents for the weak continuity of determinants, J. Funct. Anal., 105, 42–62.
    • (1992) J. Funct. Anal. , vol.105 , pp. 42-62
    • Dacorogna, B.1    Murat, F.2
  • 85
    • 0015018695 scopus 로고
    • The influence of temperature on slip and twinning in uranium
    • Daniel, J., B. Lesage and P. Lacombe (1971) The influence of temperature on slip and twinning in uranium, Acta Metall., 19, 163–173.
    • (1971) Acta Metall , vol.19 , pp. 163-173
    • Daniel, J.1    Lesage, B.2    Lacombe, P.3
  • 86
    • 0035541522 scopus 로고    scopus 로고
    • On domain switching in deformable ferroelectrics, seen as continua with microstructure
    • Davì, F. (2001) On domain switching in deformable ferroelectrics, seen as continua with microstructure, J. Appl. Math. Phys. (ZAMP), 52, 966–989.
    • (2001) J. Appl. Math. Phys. (ZAMP) , vol.52 , pp. 966-989
    • Davì, F.1
  • 87
    • 0022863730 scopus 로고
    • A proposal for a continuumapproach to defective crystals
    • Davini, C. (1986) A proposal for a continuumapproach to defective crystals, Arch. Rat. Mech. Anal., 96, 295–317.
    • (1986) Arch. Rat. Mech. Anal. , vol.96 , pp. 295-317
    • Davini, C.1
  • 89
    • 0024863353 scopus 로고
    • On defect preserving deformations in crystals
    • Davini, C. and G. P. Parry (1989) On defect preserving deformations in crystals, Int. J. of Plasticity, 5, 337–369.
    • (1989) Int. J. of Plasticity , vol.5 , pp. 337-369
    • Davini, C.1    Parry, G.P.2
  • 90
    • 0001952114 scopus 로고
    • A complete list of invariants for defective crystals
    • Davini, C. and G. P. Parry (1991) A complete list of invariants for defective crystals, Proc. Roy. Soc. London, A432, 341–365.
    • (1991) Proc. Roy. Soc. London , vol.A432 , pp. 341-365
    • Davini, C.1    Parry, G.P.2
  • 91
    • 34249770495 scopus 로고
    • Energy minimizers for large ferromagnetic bodies
    • DeSimone, A. (1993) Energy minimizers for large ferromagnetic bodies, Arch. Rat. Mech. Anal., 125, 99–143.
    • (1993) Arch. Rat. Mech. Anal. , vol.125 , pp. 99-143
    • Desimone, A.1
  • 92
    • 85057499213 scopus 로고
    • The effect of applied loads on the magnetostrictive response of a Terfenol–D–type material: A micromagnetic analysis
    • No. 94-NA-029, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, USA
    • DeSimone, A. (1994a) The effect of applied loads on the magnetostrictive response of a Terfenol–D–type material: A micromagnetic analysis. Res. Rep. No. 94-NA-029, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, USA.
    • (1994) Res. Rep
    • Desimone, A.1
  • 93
    • 85057489223 scopus 로고
    • Magnetostrictive solids: Macroscopic response and microstructure evolution under applied magnetic fields and loads
    • DeSimone, A. (1994b) Magnetostrictive solids: macroscopic response and microstructure evolution under applied magnetic fields and loads, Int. J. Mat. Syst. Struct., 125, 99–143.
    • (1994) Int. J. Mat. Syst. Struct , vol.125 , pp. 99-143
    • Desimone, A.1
  • 94
    • 0000010886 scopus 로고
    • Hysteresis and imperfection sensitivity in small ferromagnetic particles
    • DeSimone, A. (1995) Hysteresis and imperfection sensitivity in small ferromagnetic particles, Meccanica, 30, 591–603.
    • (1995) Meccanica , vol.30 , pp. 591-603
    • Desimone, A.1
  • 95
    • 0000790247 scopus 로고    scopus 로고
    • Energetics of fine domain structures
    • DeSimone, A. (1999) Energetics of fine domain structures, Ferroelectrics, 222, 275–284.
    • (1999) Ferroelectrics , vol.222 , pp. 275-284
    • Desimone, A.1
  • 96
    • 0036002634 scopus 로고    scopus 로고
    • Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies
    • press
    • DeSimone, A. and G. Dolzmann (2002) Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies, Arch. Rat. Mech. Anal., 161, in press.
    • (2002) Arch. Rat. Mech. Anal. , pp. 161
    • Desimone, A.1    Dolzmann, G.2
  • 97
    • 0036473783 scopus 로고    scopus 로고
    • A constrained theory of magnetoelasticity
    • DeSimone, A. and R. James (2002) A constrained theory of magnetoelasticity, J. Mech. Phys. Solids, 50, 283–320.
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 283-320
    • Desimone, A.1    James, R.2
  • 98
    • 0029390574 scopus 로고
    • Inertial and self interactions in structured continua: Liquid crystals and magnetostrictive solids
    • DeSimone, A. and P. Podio Guidugli (1995) Inertial and self interactions in structured continua: liquid crystals and magnetostrictive solids, Meccanica, 30, 629–640.
    • (1995) Meccanica , vol.30 , pp. 629-640
    • Desimone, A.1    Podio Guidugli, P.2
  • 99
    • 0042007614 scopus 로고    scopus 로고
    • On the continuum theory of deformable ferromagnetic solids
    • DeSimone, A. and P. Podio Guidugli (1996) On the continuum theory of deformable ferromagnetic solids, Arch. Rat. Mech. Anal., 136, 201–233.
    • (1996) Arch. Rat. Mech. Anal. , vol.136 , pp. 201-233
    • Desimone, A.1    Podio Guidugli, P.2
  • 100
    • 0042083111 scopus 로고    scopus 로고
    • Magnetic microstructures-a paradigmof multiscale problems
    • Ball, J. M. and J. C. R. Hunt (eds.), Oxford University Press, London
    • DeSimone, A., R. Kohn, S. Müller and F. Otto (2000) Magnetic microstructures-a paradigmof multiscale problems. In: Ball, J. M. and J. C. R. Hunt (eds.) ICIAM 99. Oxford University Press, London.
    • (2000) ICIAM 99
    • Desimone, A.1    Kohn, R.2    Müller, S.3    Otto, F.4
  • 102
    • 8344273089 scopus 로고    scopus 로고
    • Der Fakultät für Mathematik und Informatik der Universität Leipzig. Dr. rer. nat. Habitationsschrift
    • Dolzmann, G. (2001) Variational methods for crystalline microstructures. PhD thesis, Der Fakultät für Mathematik und Informatik der Universität Leipzig. Dr. rer. nat. Habitationsschrift.
    • (2001) Variational Methods for Crystalline Microstructures. Phd Thesis
    • Dolzmann, G.1
  • 103
    • 21844510408 scopus 로고
    • Microstructures with finite surface energy: The two-well problem
    • Dolzmann, G. and S. Müller (1995) Microstructures with finite surface energy: the two-well problem, Arch. Rat. Mech. Anal., 132, 101–141.
    • (1995) Arch. Rat. Mech. Anal. , vol.132 , pp. 101-141
    • Dolzmann, G.1    Müller, S.2
  • 105
    • 85057454192 scopus 로고
    • Twinning. In: Encyclopaedia Britannica 810 I – 810 K, Volume 6, K.W. Benton, Chicago, etc
    • Donnay, J. (1960) Twinning. In: Encyclopaedia Britannica 810 I – 810 K, Volume 6, K.W. Benton, Chicago, etc.
    • (1960)
    • Donnay, J.1
  • 108
    • 0035813978 scopus 로고    scopus 로고
    • Stability of microstructures for some martensitic transformations
    • Efendiev, Y. and M. Luskin (2001) Stability of microstructures for some martensitic transformations, Mathematical and Computer Modelling, 34, 1289–1305.
    • (2001) Mathematical and Computer Modelling , vol.34 , pp. 1289-1305
    • Efendiev, Y.1    Luskin, M.2
  • 109
    • 0015037677 scopus 로고
    • Theoretical calculations on the pressure variations of the 2nd order elastic coefficients for alkali metals
    • Eftis, J., D. Macdonald and G. Arkilic (1971) Theoretical calculations on the pressure variations of the 2nd order elastic coefficients for alkali metals, Mater. Sci. Eng., 7, 141.
    • (1971) Mater. Sci. Eng. , vol.7 , pp. 141
    • Eftis, J.1    Macdonald, D.2    Arkilic, G.3
  • 112
    • 0000115840 scopus 로고
    • Nilpotent energies in liquid crystal theory
    • Ericksen, J. L. (1962) Nilpotent energies in liquid crystal theory, Arch. Rat. Mech. Anal., 10, 189–196.
    • (1962) Arch. Rat. Mech. Anal. , vol.10 , pp. 189-196
    • Ericksen, J.L.1
  • 113
    • 0009910271 scopus 로고
    • A thermokinetic view of elastic stability theory
    • Ericksen, J. L. (1966) A thermokinetic view of elastic stability theory, Int. J. of Solids and Structures, 2, 573–580.
    • (1966) Int. J. of Solids and Structures , vol.2 , pp. 573-580
    • Ericksen, J.L.1
  • 114
    • 0000263243 scopus 로고
    • Nonlinear elasticity of diatomic crystals
    • Ericksen, J. L. (1970) Nonlinear elasticity of diatomic crystals, Int. J. of Solids and Structures, 6, 951–957.
    • (1970) Int. J. of Solids and Structures , vol.6 , pp. 951-957
    • Ericksen, J.L.1
  • 116
    • 0018053018 scopus 로고
    • On the symmetry and stability of thermoelastic solids
    • Ericksen, J. L. (1978) On the symmetry and stability of thermoelastic solids, J. of Appl. Mechanics, 45, 740–743.
    • (1978) J. of Appl. Mechanics , vol.45 , pp. 740-743
    • Ericksen, J.L.1
  • 117
    • 0018702564 scopus 로고
    • On the symmetry of deformable crystals
    • Ericksen, J. L. (1979) On the symmetry of deformable crystals, Arch. Rat. Mech. Anal., 72, 1–13.
    • (1979) Arch. Rat. Mech. Anal. , vol.72 , pp. 1-13
    • Ericksen, J.L.1
  • 118
    • 85057502942 scopus 로고
    • Changes in symmetry in elastic crystals
    • Carlson, D. E. and R. Shield (eds.), M. Nijhoff, The Hague, etc
    • Ericksen, J. L. (1980a) Changes in symmetry in elastic crystals. In: Carlson, D. E. and R. Shield (eds.) Proceedings of the IUTAM Symposium on Finite Elasticity. M. Nijhoff, The Hague, etc.
    • (1980) Proceedings of the IUTAM Symposium on Finite Elasticity
    • Ericksen, J.L.1
  • 119
    • 0019177638 scopus 로고
    • Some phase transitions in crystals
    • Ericksen, J. L. (1980b) Some phase transitions in crystals, Arch. Rat. Mech. Anal., 73, 99–124.
    • (1980) Arch. Rat. Mech. Anal. , vol.73 , pp. 99-124
    • Ericksen, J.L.1
  • 121
    • 0019551488 scopus 로고
    • Continuum martensitic transition in thermoelastic solids
    • Ericksen, J. L. (1981a) Continuum martensitic transition in thermoelastic solids, J. of Thermal Stresses, 4, 107–119.
    • (1981) J. of Thermal Stresses , vol.4 , pp. 107-119
    • Ericksen, J.L.1
  • 122
    • 0019343579 scopus 로고
    • Some simpler cases of the Gibbs problem for thermoelastic solids
    • Ericksen, J. L. (1981b) Some simpler cases of the Gibbs problem for thermoelastic solids, J. of Thermal Stresses, 4, 13–30.
    • (1981) J. of Thermal Stresses , vol.4 , pp. 13-30
    • Ericksen, J.L.1
  • 123
    • 84933955783 scopus 로고
    • Crystal lattices and sublattices
    • Università Padova
    • Ericksen, J. L. (1982a) Crystal lattices and sublattices, Rend. Sem. Mat. Università Padova, 68, 1–11.
    • (1982) Rend. Sem. Mat , vol.68 , pp. 1-11
    • Ericksen, J.L.1
  • 124
    • 2842574098 scopus 로고
    • Multivalued strain energy functions for crystals
    • Ericksen, J. L. (1982b) Multivalued strain energy functions for crystals, Int. J. of Solids and Structures, 18, 913–916.
    • (1982) Int. J. of Solids and Structures , vol.18 , pp. 913-916
    • Ericksen, J.L.1
  • 125
    • 0020752305 scopus 로고
    • The theory of stress-free joints
    • Ericksen, J. L. (1983) The theory of stress-free joints, J. of Elasticity, 13, 3–15.
    • (1983) J. of Elasticity , vol.13 , pp. 3-15
    • Ericksen, J.L.1
  • 127
    • 0021879926 scopus 로고
    • Some surface defects in unstressed thermoelastic solids
    • Ericksen, J. L. (1985) Some surface defects in unstressed thermoelastic solids, Arch. Rat. Mech. Anal., 88, 337–345.
    • (1985) Arch. Rat. Mech. Anal. , vol.88 , pp. 337-345
    • Ericksen, J.L.1
  • 128
    • 0022906928 scopus 로고
    • Constitutive theory for some constrained elastic crystals
    • Ericksen, J. L. (1986a) Constitutive theory for some constrained elastic crystals, Int. J. of Solids and Structures, 22, 951–963.
    • (1986) Int. J. of Solids and Structures , vol.22 , pp. 951-963
    • Ericksen, J.L.1
  • 129
    • 0002435720 scopus 로고
    • Stable equilibriumconfigurations of elastic crystals
    • Ericksen, J. L. (1986b) Stable equilibriumconfigurations of elastic crystals, Arch. Rat. Mech. Anal., 94, 1–14.
    • (1986) Arch. Rat. Mech. Anal. , vol.94 , pp. 1-14
    • Ericksen, J.L.1
  • 132
    • 0000611090 scopus 로고
    • Weak martensitic transformations in Bravais lattices
    • Ericksen, J. L. (1989) Weak martensitic transformations in Bravais lattices, Arch. Rat. Mech. Anal., 107, 23–36.
    • (1989) Arch. Rat. Mech. Anal. , vol.107 , pp. 23-36
    • Ericksen, J.L.1
  • 134
    • 0343190817 scopus 로고
    • On kinematic conditions of compatibility
    • Ericksen, J. L. (1991b) On kinematic conditions of compatibility, J. of Elasticity, 26, 65–74.
    • (1991) J. of Elasticity , vol.26 , pp. 65-74
    • Ericksen, J.L.1
  • 135
    • 0026881555 scopus 로고
    • Bifurcation and martensitic transformations in Bravais lattices
    • Ericksen, J. L. (1992) Bifurcation and martensitic transformations in Bravais lattices, J. of Elasticity, 28, 55–72.
    • (1992) J. of Elasticity , vol.28 , pp. 55-72
    • Ericksen, J.L.1
  • 137
    • 0030106163 scopus 로고    scopus 로고
    • On the possibility of having different Bravais lattices connected thermodynamically
    • Ericksen, J. L. (1996a) On the possibility of having different Bravais lattices connected thermodynamically, Math. Mech. Solids, 1, 5–24.
    • (1996) Math. Mech. Solids , vol.1 , pp. 5-24
    • Ericksen, J.L.1
  • 138
    • 0030260829 scopus 로고    scopus 로고
    • Thermal expansion involving phase transitions in certain thermoelastic crystals
    • Ericksen, J. L. (1996b) Thermal expansion involving phase transitions in certain thermoelastic crystals, Meccanica, 31, 473–488.
    • (1996) Meccanica , vol.31 , pp. 473-488
    • Ericksen, J.L.1
  • 139
    • 0031240691 scopus 로고    scopus 로고
    • Equilibriumtheory for X-ray observations
    • Ericksen, J. L. (1997) Equilibriumtheory for X-ray observations, Arch. Rat. Mech. Anal., 139, 181–200.
    • (1997) Arch. Rat. Mech. Anal. , vol.139 , pp. 181-200
    • Ericksen, J.L.1
  • 140
    • 0032307521 scopus 로고    scopus 로고
    • On non-essential descriptions of crystal multi-lattices
    • Ericksen, J. L. (1998) On non-essential descriptions of crystal multi-lattices, Math. Mech. Solids, 4, 363–392.
    • (1998) Math. Mech. Solids , vol.4 , pp. 363-392
    • Ericksen, J.L.1
  • 141
    • 0033307356 scopus 로고    scopus 로고
    • Notes on the X-ray theory
    • Ericksen, J. L. (1999) Notes on the X-ray theory, J. Elasticity, 55, 201–218.
    • (1999) J. Elasticity , vol.55 , pp. 201-218
    • Ericksen, J.L.1
  • 143
    • 0013123869 scopus 로고    scopus 로고
    • On correlating two theories of twinning
    • Ericksen, J. L. (2000b) On correlating two theories of twinning, Arch. Rat. Mech. Anal., 153, 261–289.
    • (2000) Arch. Rat. Mech. Anal , vol.153 , pp. 261-289
    • Ericksen, J.L.1
  • 144
    • 0034443291 scopus 로고    scopus 로고
    • On invariance groups for equilibriumtheories
    • Ericksen, J. L. (2000c) On invariance groups for equilibriumtheories, J. of Elasticity, 59, 9–22.
    • (2000) J. of Elasticity , vol.59 , pp. 9-22
    • Ericksen, J.L.1
  • 145
    • 0035423619 scopus 로고    scopus 로고
    • On the theory of growth twins in quartz
    • Ericksen, J. L. (2001a) On the theory of growth twins in quartz, Math. Mech. Solids, 6, 359–386.
    • (2001) Math. Mech. Solids , vol.6 , pp. 359-386
    • Ericksen, J.L.1
  • 146
    • 0035314142 scopus 로고    scopus 로고
    • On the theory of the α–β phase transition in quartz
    • Ericksen, J. L. (2001b) On the theory of the α–β phase transition in quartz, J. of Elasticity, 63, 61–86.
    • (2001) J. of Elasticity , vol.63 , pp. 61-86
    • Ericksen, J.L.1
  • 147
    • 0035254708 scopus 로고    scopus 로고
    • Twinning analyses in the X–ray theory
    • Ericksen, J. L. (2001c) Twinning analyses in the X–ray theory, Int. J. of Solids and Structures, 38, 967–995.
    • (2001) Int. J. of Solids and Structures , vol.38 , pp. 967-995
    • Ericksen, J.L.1
  • 148
    • 0036026060 scopus 로고    scopus 로고
    • On Pitteri neighborhoods centered at hexagonal close-packed configurations
    • Ericksen, J. L. (2002a) On Pitteri neighborhoods centered at hexagonal close-packed configurations, Arch. Rat. Mech. Anal., to appear.
    • (2002) Arch. Rat. Mech. Anal.
    • Ericksen, J.L.1
  • 149
    • 0036695197 scopus 로고    scopus 로고
    • On the X-ray theory of twinning
    • Ericksen, J. L. (2002b) On the X-ray theory of twinning, Math. Mech. Solids, submitted.
    • (2002) Math. Mech. Solids
    • Ericksen, J.L.1
  • 150
    • 0036017753 scopus 로고    scopus 로고
    • Twinning theory for some Pitteri neighborhoods
    • Ericksen, J. L. (2002c) Twinning theory for some Pitteri neighborhoods, Cont. Mech. Thermodyn., to appear.
    • (2002) Cont. Mech. Thermodyn.
    • Ericksen, J.L.1
  • 151
    • 0001857341 scopus 로고
    • Elastic inclusions and inhomogeneities
    • Sneddon, I. and R. Hill (eds.), North-Holland Publishing Company, Amsterdam
    • Eshelby, J. (1961) Elastic inclusions and inhomogeneities. In: Sneddon, I. and R. Hill (eds.) Progress in Solid Mechanics, Vol. 2, North-Holland Publishing Company, Amsterdam.
    • (1961) Progress in Solid Mechanics , vol.2
    • Eshelby, J.1
  • 152
    • 84931130310 scopus 로고
    • The geometry of twin crystals
    • Evans, J. (1912) The geometry of twin crystals, Proc. Roy. Soc Edinburgh, 32, 416.
    • (1912) Proc. Roy. Soc Edinburgh , vol.32 , pp. 416
    • Evans, J.1
  • 154
    • 0034852055 scopus 로고    scopus 로고
    • On the arithmetic classification of crystal structures
    • Fadda, G. and G. Zanzotto (2001a) On the arithmetic classification of crystal structures, Acta Cryst., A57, 492–506.
    • (2001) Acta Cryst., A , vol.57 , pp. 492-506
    • Fadda, G.1    Zanzotto, G.2
  • 155
    • 0035343060 scopus 로고    scopus 로고
    • Symmetry breaking in monoatomic 2-lattices
    • Fadda, G. and G. Zanzotto (2001b) Symmetry breaking in monoatomic 2-lattices, Int. J. Nonl. Mech., 36, 527–547.
    • (2001) Int. J. Nonl. Mech. , vol.36 , pp. 527-547
    • Fadda, G.1    Zanzotto, G.2
  • 157
    • 0043274373 scopus 로고
    • Crystallographic groups and their mathematics
    • Farkas, D. R. (1981) Crystallographic groups and their mathematics, Rocky Mountain J. of Math., 11, 511–551.
    • (1981) Rocky Mountain J. of Math. , vol.11 , pp. 511-551
    • Farkas, D.R.1
  • 158
    • 0001693540 scopus 로고
    • Hysteresis in discrete systems of possibly interacting elements with a two-well energy
    • Fedelich, B. and G. Zanzotto (1992) Hysteresis in discrete systems of possibly interacting elements with a two-well energy, J. of Nonlin. Sci., 2, 319–342.
    • (1992) J. of Nonlin. Sci. , vol.2 , pp. 319-342
    • Fedelich, B.1    Zanzotto, G.2
  • 160
    • 0000039450 scopus 로고
    • Symmetry-breaking and branching patterns in equivariant bifurcation theory, I
    • Field, M. J. and R. W. Richardson (1992a) Symmetry-breaking and branching patterns in equivariant bifurcation theory, I, Arch. Rat. Mech. Anal., 118, 297–348.
    • (1992) Arch. Rat. Mech. Anal. , vol.118 , pp. 297-348
    • Field, M.J.1    Richardson, R.W.2
  • 161
    • 51249163942 scopus 로고
    • Symmetry-breaking and branching patterns in equivariant bifurcation theory, II
    • Field, M. J. and R. W. Richardson (1992b) Symmetry-breaking and branching patterns in equivariant bifurcation theory, II, Arch. Rat. Mech. Anal., 120, 147–190.
    • (1992) Arch. Rat. Mech. Anal. , vol.120 , pp. 147-190
    • Field, M.J.1    Richardson, R.W.2
  • 162
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • Flory, P. (1961) Thermodynamic relations for high elastic materials, Trans. Faraday Soc., 57, 829–838.
    • (1961) Trans. Faraday Soc. , vol.57 , pp. 829-838
    • Flory, P.1
  • 163
    • 0023142918 scopus 로고
    • Variational methods for elastic crystals
    • Fonseca, I. (1987) Variational methods for elastic crystals, Arch. Rat. Mech. Anal., 97, 189–220.
    • (1987) Arch. Rat. Mech. Anal. , vol.97 , pp. 189-220
    • Fonseca, I.1
  • 164
    • 0000937706 scopus 로고
    • The lower quasiconvex envelope of the stored energy function for an elastic crystal
    • Fonseca, I. (1988) The lower quasiconvex envelope of the stored energy function for an elastic crystal, J. Math. Pures et Appl., 67, 175–195.
    • (1988) J. Math. Pures Et Appl. , vol.67 , pp. 175-195
    • Fonseca, I.1
  • 165
    • 0000587794 scopus 로고
    • Phase transitions of elastic solid materials
    • Fonseca, I. (1989) Phase transitions of elastic solid materials, Arch. Rat. Mech. Anal., 107, 195–223.
    • (1989) Arch. Rat. Mech. Anal. , vol.107 , pp. 195-223
    • Fonseca, I.1
  • 166
    • 0033284152 scopus 로고    scopus 로고
    • A simple criterion for the existence of rank-one connections between martensitic wells
    • Forclaz, A. (1999) A simple criterion for the existence of rank-one connections between martensitic wells, J. of Elasticity, 57, 281–305.
    • (1999) J. of Elasticity , vol.57 , pp. 281-305
    • Forclaz, A.1
  • 167
    • 0030141773 scopus 로고    scopus 로고
    • Symmetry classes for elasticity tensors
    • Forte, S. and M. Vianello (1996) Symmetry classes for elasticity tensors, J. of Elasticity, 43, 81–108.
    • (1996) J. of Elasticity , vol.43 , pp. 81-108
    • Forte, S.1    Vianello, M.2
  • 168
  • 170
    • 0022862030 scopus 로고
    • Homogenization and optimal bounds in linear elasticity
    • Francfort, G. and F. Murat (1986) Homogenization and optimal bounds in linear elasticity, Arch. Rat. Mech. Anal., 94, 307–334.
    • (1986) Arch. Rat. Mech. Anal. , vol.94 , pp. 307-334
    • Francfort, G.1    Murat, F.2
  • 172
    • 0007867205 scopus 로고
    • Sur un nouveau type de macles
    • Friedel, G. (1933) Sur un nouveau type de macles, Bull. Soc. Franç. Min., 56, 262.
    • (1933) Bull. Soc. Franç. Min. , vol.56 , pp. 262
    • Friedel, G.1
  • 173
    • 0030552415 scopus 로고    scopus 로고
    • Dynamics as a mechanism preventing the formation of finer and finer microstructure
    • Friesecke, G. and J. McLeod (1996) Dynamics as a mechanism preventing the formation of finer and finer microstructure, Arch. Rat. Mech. Anal., 133, 199–247.
    • (1996) Arch. Rat. Mech. Anal. , vol.133 , pp. 199-247
    • Friesecke, G.1    McLeod, J.2
  • 174
    • 0344430820 scopus 로고    scopus 로고
    • Validity and failure of the Cauchy-Born rule in a 2d mass-spring lattice
    • submitted
    • Friesecke, G. and F. Theil (2001) Validity and failure of the Cauchy-Born rule in a 2d mass-spring lattice, J. Nonl. Sci., submitted.
    • (2001) J. Nonl. Sci.
    • Friesecke, G.1    Theil, F.2
  • 175
    • 0002966522 scopus 로고
    • Thermodynamics of pseudoelasticity – an analytical approach
    • Fu, S., Y. Huo and I. Müller (1993) Thermodynamics of pseudoelasticity – an analytical approach, Acta Mechanica, 99, 1–19.
    • (1993) Acta Mechanica , vol.99 , pp. 1-19
    • Fu, S.1    Huo, Y.2    Müller, I.3
  • 176
    • 0002828007 scopus 로고
    • The interior of the pseudoelastic hysteresis
    • C.Y. Liu, H. Kunsmann, K. Otsuka and M. Wuttig (Eds.)
    • Fu, S., I. Müller and H. Xu (1992) The interior of the pseudoelastic hysteresis, Mater. Res. Soc. Symp. Proc., 246, 39–42. C.Y. Liu, H. Kunsmann, K. Otsuka and M. Wuttig (Eds.).
    • (1992) Mater. Res. Soc. Symp. Proc. , vol.246 , pp. 39-42
    • Fu, S.1    Müller, I.2    Xu, H.3
  • 178
    • 2242456794 scopus 로고
    • Bifurcation and symmetry breaking
    • Gaeta, G. (1990) Bifurcation and symmetry breaking, Phys. Rep., 189, 1–87.
    • (1990) Phys. Rep. , vol.189 , pp. 1-87
    • Gaeta, G.1
  • 180
    • 0000063775 scopus 로고
    • On the equilibriumof heterogeneous substances
    • Gibbs, J. W. (1878) On the equilibriumof heterogeneous substances, Trans. Conn. Acad., 3, 343–524.
    • (1878) Trans. Conn. Acad. , vol.3 , pp. 343-524
    • Gibbs, J.W.1
  • 181
    • 0003220351 scopus 로고
    • Stable mappings and singularities
    • Springer Verlag, New York, etc
    • Golubitsky, M. and V. Guillemin (1974) Stable mappings and singularities. Springer Verlag, New York, etc. Graduate Texts in Mathematics, vol.14.
    • (1974) Graduate Texts in Mathematics , vol.14
    • Golubitsky, M.1    Guillemin, V.2
  • 182
    • 0003270066 scopus 로고
    • Singularities and groups in bifurcation theory
    • Springer Verlag, New York, etc
    • Golubitsky, M. and D. Schaeffer (1985) Singularities and groups in bifurcation theory, Vol. I. Springer Verlag, New York, etc. Applied Mathematical Sciences vol.51.
    • (1985) Applied Mathematical Sciences , vol.51
    • Golubitsky, M.1    Schaeffer, D.2
  • 183
    • 0021853542 scopus 로고
    • Hopf bifurcation in the presence of symmetry
    • Golubitsky, M. and I. Stewart (1985) Hopf bifurcation in the presence of symmetry, Arch. Rat. Mech. Anal., 87, 107–165.
    • (1985) Arch. Rat. Mech. Anal. , vol.87 , pp. 107-165
    • Golubitsky, M.1    Stewart, I.2
  • 187
    • 0039157449 scopus 로고
    • Volume VIa/2 of Handbuch der Physik, 1–295, Springer-Verlag. Berlin, Heidelberg and New York
    • Gurtin, M. E. (1972) The linear theory of elasticity. Volume VIa/2 of Handbuch der Physik, 1–295, Springer-Verlag. Berlin, Heidelberg and New York.
    • (1972) The Linear Theory of Elasticity
    • Gurtin, M.E.1
  • 189
    • 0020892144 scopus 로고
    • Two-phase deformations of elastic solids
    • Gurtin, M. E. (1983) Two-phase deformations of elastic solids, Arch. Rat. Mech. Anal., 84, 1–29.
    • (1983) Arch. Rat. Mech. Anal. , vol.84 , pp. 1-29
    • Gurtin, M.E.1
  • 190
    • 2842597329 scopus 로고
    • The deformation twinning mode of crystalline mercury
    • Guyoncourt, D. and A. Crocker (1968) The deformation twinning mode of crystalline mercury, Acta Metall., 16, 523–534.
    • (1968) Acta Metall , vol.16 , pp. 523-534
    • Guyoncourt, D.1    Crocker, A.2
  • 191
    • 0002861691 scopus 로고
    • The status of the Kepler conjecture
    • Hales, T. (1994) The status of the Kepler conjecture, The Mathematical Intelligencer, 16, 47–58.
    • (1994) The Mathematical Intelligencer , vol.16 , pp. 47-58
    • Hales, T.1
  • 195
    • 0032637213 scopus 로고    scopus 로고
    • Bulk and thin film microstructures in untwinned martensites
    • Hane, K. F. (1999) Bulk and thin film microstructures in untwinned martensites, J. Mech. Phys. Solids, 47, 1917–1939.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1917-1939
    • Hane, K.F.1
  • 196
    • 0032414486 scopus 로고    scopus 로고
    • Symmetry and microstructure in martensites
    • Hane, K. F. and T. W. Shield (1998) Symmetry and microstructure in martensites, Phil. Mag., A78, 1215–1252.
    • (1998) Phil. Mag., A , vol.78 , pp. 1215-1252
    • Hane, K.F.1    Shield, T.W.2
  • 197
    • 0342619554 scopus 로고    scopus 로고
    • Microstructure in a CuAlNi shape memory alloy
    • Hane, K. F. and T. W. Shield (1999a) Microstructure in a CuAlNi shape memory alloy, Proc. Roy. Soc. London, A455, 3901–3915.
    • (1999) Proc. Roy. Soc , vol.A455 , pp. 3901-3915
    • Hane, K.F.1    Shield, T.W.2
  • 198
    • 0032658898 scopus 로고    scopus 로고
    • Microstructure in the cubic to monoclinic transition in a TiNi shape memory alloy
    • Hane, K. F. and T. W. Shield (1999b) Microstructure in the cubic to monoclinic transition in a TiNi shape memory alloy, Acta Mater., 47(9), 2603–2617.
    • (1999) Acta Mater , vol.47 , Issue.9 , pp. 2603-2617
    • Hane, K.F.1    Shield, T.W.2
  • 199
    • 0034443711 scopus 로고    scopus 로고
    • Microstructure in a cubic to orthorhombic transition
    • Hane, K. F. and T. W. Shield (2000a) Microstructure in a cubic to orthorhombic transition, J. of Elasticity, 59, 267–318.
    • (2000) J. of Elasticity , vol.59 , pp. 267-318
    • Hane, K.F.1    Shield, T.W.2
  • 200
    • 0034300786 scopus 로고    scopus 로고
    • Microstructure in the cubic to trigonal transition
    • Hane, K. F. and T. W. Shield (2000b) Microstructure in the cubic to trigonal transition, Mater. Sci. Engrg., A291, 147–159.
    • (2000) Mater. Sci. Engrg. , vol.A291 , pp. 147-159
    • Hane, K.F.1    Shield, T.W.2
  • 201
    • 84941407315 scopus 로고
    • On the morphology of growth twins
    • Hartman, P. (1956) On the morphology of growth twins, Zeit. für Krist., 107, 225.
    • (1956) Zeit. für Krist. , vol.107 , pp. 225
    • Hartman, P.1
  • 202
    • 0000596483 scopus 로고
    • Über die Theorie der algebraischen Formen
    • also Gesammelte Abhandlungen, vol. 2, Springer-Verlag, Berlin, 1933, pp. 199–257; for an english translation see Ackerman and Hermann (1978)
    • Hilbert, D. (1890) Über die Theorie der algebraischen Formen, Math. Ann., 36, 473–534. also Gesammelte Abhandlungen, vol. 2, Springer-Verlag, Berlin, 1933, pp. 199–257; for an english translation see Ackerman and Hermann (1978).
    • (1890) Math. Ann. , vol.36 , pp. 473-534
    • Hilbert, D.1
  • 203
    • 0039060770 scopus 로고
    • Über die vollen invariantensystem
    • also Gesammelte Abhandlungen, vol. 2, Springer-Verlag, Berlin, 1933, pp. 287–344; for an english translation see Ackerman and Hermann (1978)
    • Hilbert, D. (1893) Über die vollen invariantensystem, Math. Ann., 42, 313– 373. also Gesammelte Abhandlungen, vol. 2, Springer-Verlag, Berlin, 1933, pp. 287–344; for an english translation see Ackerman and Hermann (1978).
    • (1893) Math. Ann. , pp. 313-373
    • Hilbert, D.1
  • 205
    • 0016459549 scopus 로고
    • On the elasticity and stability of perfect crystals at finite strain
    • Hill, R. (1975) On the elasticity and stability of perfect crystals at finite strain, Math. Proc. Camb. Phil. Soc., 77, 225–240.
    • (1975) Math. Proc. Camb. Phil. Soc. , vol.77 , pp. 225-240
    • Hill, R.1
  • 206
    • 0007861493 scopus 로고
    • Relation of symmetry to structure in twinning
    • Holser, W. (1958) Relation of symmetry to structure in twinning, Zeit. für Krist., 110, 249.
    • (1958) Zeit. für Krist. , vol.110 , pp. 249
    • Holser, W.1
  • 208
    • 0002132412 scopus 로고
    • On the generators of the symplectic modular group
    • Hua, L. and I. Reiner (1949) On the generators of the symplectic modular group, Trans. Am. Math. Soc., 65, 415–426.
    • (1949) Trans. Am. Math. Soc. , vol.65 , pp. 415-426
    • Hua, L.1    Reiner, I.2
  • 210
    • 34249918305 scopus 로고
    • On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor
    • Huo, Y.-Z. and G. Del Piero (1991) On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor, J. of Elasticity, 25, 203–246.
    • (1991) J. of Elasticity , vol.25 , pp. 203-246
    • Huo, Y.-Z.1    Del Piero, G.2
  • 211
    • 0007048908 scopus 로고    scopus 로고
    • Volume A. Reidel Publishing Company, Dordrecht, Boston. T. Hahn (Ed.)
    • International Tables (1996) International Tables for X-ray Crystallography, Volume A. Reidel Publishing Company, Dordrecht, Boston. T. Hahn (Ed.).
    • (1996) International Tables for X-Ray Crystallography
  • 213
    • 0003805590 scopus 로고
    • Vol., Freeman & C., San Francisco
    • Jacobson, N. (1974) Basic algebra, Vol. 1. Freeman & C., San Francisco.
    • (1974) Basic Algebra , vol.1
    • Jacobson, N.1
  • 214
    • 0019691902 scopus 로고
    • Finite deformation by mechanical twinning
    • James, R. D. (1981) Finite deformation by mechanical twinning, Arch. Rat. Mech. Anal., 77, 143–176.
    • (1981) Arch. Rat. Mech. Anal. , vol.77 , pp. 143-176
    • James, R.D.1
  • 216
    • 85057500572 scopus 로고
    • Gurtin, M. (ed.) Phase Transformations and Material Instabilities in Solids, Academic Press, New York, etc
    • James, R. D. (1984a) The arrangement of coherent phases in a loaded body. In: Gurtin, M. (ed.) Phase Transformations and Material Instabilities in Solids, Academic Press, New York, etc.
    • (1984) The Arrangement of Coherent Phases in a Loaded Body
    • James, R.D.1
  • 217
    • 0021291959 scopus 로고
    • Stress-free joints and polycrystals
    • James, R. D. (1984b) Stress-free joints and polycrystals, Arch. Rat. Mech. Anal., 86, 13–45.
    • (1984) Arch. Rat. Mech. Anal. , vol.86 , pp. 13-45
    • James, R.D.1
  • 218
    • 0022594411 scopus 로고
    • Displacive phase transformations in solids
    • Solids, 34
    • James, R. D. (1986a) Displacive phase transformations in solids, J. Mech. Phys. Solids, 34, 359–394.
    • (1986) J. Mech. Phys
    • James, R.D.1
  • 219
    • 85057455381 scopus 로고
    • Phase transformations and non-elliptic free energy
    • New perspectives in Thermodynamics, Springer-Verlag, New York, Berlin, Heidelberg
    • James, R. D. (1986b) Phase transformations and non-elliptic free energy. In: Serrin, J. (ed.) New perspectives in Thermodynamics, Springer-Verlag, New York, Berlin, Heidelberg, etc.
    • (1986) Serrin, J
    • James, R.D.1
  • 221
    • 85057497000 scopus 로고
    • An energy for the cubic-to-tetragonal transition
    • private communication
    • James, R. D. (1988a) An energy for the cubic-to-tetragonal transition in InTl alloys, private communication.
    • (1988) Intl Alloys
    • James, R.D.1
  • 222
    • 0039569106 scopus 로고
    • Microstructure and weak convergence
    • Material Instabilities in Continuum Mechanics and Related Mathematical Problems, Clarendon Press, Oxford
    • James, R. D. (1988b) Microstructure and weak convergence. In: Ball, J. (ed.) Material Instabilities in Continuum Mechanics and Related Mathematical Problems, Clarendon Press, Oxford.
    • (1988) Ball, J
    • James, R.D.1
  • 223
    • 85057471890 scopus 로고    scopus 로고
    • New materials from theory: Trends in the development of active materials
    • Dvorak, G. (ed.), AIP Press
    • James, R. D. (1999) New materials from theory: trends in the development of active materials. In: Dvorak, G. (ed.) Research Trends in Solid Mechanics, UNSC/TAM, AIP Press.
    • (1999) Research Trends in Solid Mechanics, UNSC/TAM
    • James, R.D.1
  • 224
    • 0033892030 scopus 로고    scopus 로고
    • Martensitic transformations and shape-memory materials
    • James, R. D. and K. T. Hane (2000) Martensitic transformations and shape-memory materials, Acta Mater., 48, 197–222.
    • (2000) Acta Mater , vol.48 , pp. 197-222
    • James, R.D.1    Hane, K.T.2
  • 225
    • 0004743458 scopus 로고
    • Rascle, M., D. Serre and M. Slemrod (eds.), Lecture Notes in Physics, vol. 344, Springer Verlag, New York, etc
    • James, R. D. and D. Kinderlehrer (1989) Theory of diffusionless phase transitions. In: Rascle, M., D. Serre and M. Slemrod (eds.) Partial differential equations and continuum models of phase transitions, Lecture Notes in Physics, vol. 344, Springer Verlag, New York, etc.
    • (1989) Theory of Diffusionless Phase Transitions
    • James, R.D.1    Kinderlehrer, D.2
  • 228
    • 0040081667 scopus 로고    scopus 로고
    • Magnetostriction of martensite
    • James, R. D. and M. Wuttig (1998) Magnetostriction of martensite, Phil. Mag., A77, 1273–1299.
    • (1998) Phil. Mag. , vol.A77 , pp. 1273-1299
    • James, R.D.1    Wuttig, M.2
  • 229
    • 85057460431 scopus 로고    scopus 로고
    • R. Kohn and T. Shield (1995) Modeling of branched needle microstructures at the edge of a martensite laminate. In: ICOMAT-95 Conference Proceedings
    • James, R., R. Kohn and T. Shield (1995) Modeling of branched needle microstructures at the edge of a martensite laminate. In: ICOMAT-95 Conference Proceedings, Lausanne.
    • Lausanne.
    • James, R.1
  • 230
    • 0033328797 scopus 로고    scopus 로고
    • Large field-induced strains in ferromagnetic shape memory materials
    • James, R., R. Tickle and M. Wuttig (1999) Large field-induced strains in ferromagnetic shape memory materials, Mater. Sci. Engng., A273–275, 320–325.
    • (1999) Mater. Sci. Engng., A , vol.273-275 , pp. 320-325
    • James, R.1    Tickle, R.2    Wuttig, M.3
  • 232
    • 0039949184 scopus 로고
    • Space groups and their isotropy subgroups
    • Jarič, M. V. and M. Senechal (1984) Space groups and their isotropy subgroups, J. Math. Phys., 25, 3148–3154.
    • (1984) J. Math. Phys. , vol.25 , pp. 3148-3154
    • Jarič, M.V.1    Senechal, M.2
  • 233
    • 33847257980 scopus 로고
    • The prediction of twinning modes in metal crystals
    • Jaswon, M. and D. Dove (1957) The prediction of twinning modes in metal crystals, Acta Cryst., 10 (1), 14–19.
    • (1957) Acta Cryst , vol.10 , Issue.1 , pp. 14-19
    • Jaswon, M.1    Dove, D.2
  • 234
    • 4243469592 scopus 로고
    • Atomic displacements in the austenite-martensite transformation
    • Jaswon, M. and J. Wheeler (1948) Atomic displacements in the austenite-martensite transformation, Acta Cryst., 1, 216–224.
    • (1948) Acta Cryst , vol.1 , pp. 216-224
    • Jaswon, M.1    Wheeler, J.2
  • 237
    • 85057456674 scopus 로고
    • Untersuchungen über Kristallzwillinge und deren Zusammen-hang mit anderen Erscheinungen
    • Johnsen, A. (1914) Untersuchungen über Kristallzwillinge und deren Zusammen-hang mit anderen Erscheinungen, Neues Jahrb. Mineral. Geol, 39, 500.
    • (1914) Neues Jahrb. Mineral. Geol , vol.39 , pp. 500
    • Johnsen, A.1
  • 238
    • 25844500416 scopus 로고
    • Mémoire sur l’équivalence des formes
    • Jordan, C. (1880) Mémoire sur l’équivalence des formes, Journal de l’École Polytechnique, 48, 112–150.
    • (1880) Journal De l’École Polytechnique , vol.48 , pp. 112-150
    • Jordan, C.1
  • 240
    • 0000581335 scopus 로고
    • Some questions concerning the theory of phase transformations in solids
    • Khachaturyan, A. (1961) Some questions concerning the theory of phase transformations in solids, Soviet Phys. Solid State, 8, 2163–2168.
    • (1961) Soviet Phys. Solid State , vol.8 , pp. 2163-2168
    • Khachaturyan, A.1
  • 241
    • 85057436975 scopus 로고
    • Theory of structural transformations in solids
    • New York and London
    • Khachaturyan, A. (1983) Theory of structural transformations in solids. J. Wiley and Sons, New York and London.
    • (1983) J. Wiley and Sons
    • Khachaturyan, A.1
  • 242
    • 0001537342 scopus 로고
    • Theory of macroscopic periodicity for a phase transition in the solid state
    • Khachaturyan, A. and G. Shatalov (1969) Theory of macroscopic periodicity for a phase transition in the solid state, Soviet Phys. JETP, 29, 557–561.
    • (1969) Soviet Phys. JETP , vol.29 , pp. 557-561
    • Khachaturyan, A.1    Shatalov, G.2
  • 246
    • 0001139965 scopus 로고
    • Characterization of gradient Young measures
    • Kinderlehrer, D. and P. Pedregal (1991) Characterization of gradient Young measures, Arch. Rat. Mech. Anal., 115, 329–365.
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 329-365
    • Kinderlehrer, D.1    Pedregal, P.2
  • 250
    • 0002024245 scopus 로고
    • Automorphismengruppen von Raumgruppen und die Zuordnung von Punktlagen zu Konfigurationslagen
    • Koch, E. and W. Fischer (1975) Automorphismengruppen von Raumgruppen und die Zuordnung von Punktlagen zu Konfigurationslagen, Acta Cryst., A31, 88–95.
    • (1975) Acta Cryst., A , vol.31 , pp. 88-95
    • Koch, E.1    Fischer, W.2
  • 251
    • 0001000267 scopus 로고
    • Relaxation of a double-well energy
    • Kohn, R. V. (1991) Relaxation of a double-well energy, Cont. Mech. Thermodyn., 3, 193–236.
    • (1991) Cont. Mech. Thermodyn. , vol.3 , pp. 193-236
    • Kohn, R.V.1
  • 252
    • 84953602308 scopus 로고
    • Branching of twins near an austenite/twinned-martensite interface
    • Kohn, R. V. and S. Müller (1992) Branching of twins near an austenite/twinned-martensite interface, Phil. Mag., A66, 697–715.
    • (1992) Phil. Mag., A , vol.66 , pp. 697-715
    • Kohn, R.V.1    Müller, S.2
  • 253
    • 84990706266 scopus 로고
    • Surface energy and microstructure in coherent phase transitions
    • Kohn, R. V. and S. Müller (1994) Surface energy and microstructure in coherent phase transitions, Comm. Pure Appl. Math., 47, 405–435.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 405-435
    • Kohn, R.V.1    Müller, S.2
  • 254
    • 85057464422 scopus 로고
    • Group-theoretical analysis of extended unit cell model, Krystallografiya, 25, 5–13. (= Sov. Phys. Crystallogr. 25 (1980), 1–5)
    • Koptsik, V. and R. Évarestov (1980) Group-theoretical analysis of extended unit cell model, Krystallografiya, 25, 5–13. (= Sov. Phys. Crystallogr. 25 (1980), 1–5).
    • (1980)
    • Koptsik, V.1    Évarestov, R.2
  • 255
    • 34250907185 scopus 로고
    • Über den Mechanismus der Stahlhärtung
    • Kurdjumov, G. and G. Sachs (1930) Über den Mechanismus der Stahlhärtung, Z. Phys, 64, 325–343.
    • (1930) Z. Phys , vol.64 , pp. 325-343
    • Kurdjumov, G.1    Sachs, G.2
  • 257
    • 0008661579 scopus 로고
    • Haar, D. (ed.) Collected papers of L. D. Landau, Gordon and Breach and Pergamon Press, New York, London and Paris
    • Landau, L. D. (1965) On the theory of phase transitions. In: Haar, D. (ed.) Collected papers of L. D. Landau, Gordon and Breach and Pergamon Press, New York, London and Paris.
    • (1965) On the Theory of Phase Transitions
    • Landau, L.D.1
  • 260
    • 0030168236 scopus 로고    scopus 로고
    • A general macroscopic description of the thermomechanical behavior of shape memory alloys
    • Leclercq, S. and C. Lexcellent (1996) A general macroscopic description of the thermomechanical behavior of shape memory alloys, J. Mech. Phys. Solids, 44, 953–980.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 953-980
    • Leclercq, S.1    Lexcellent, C.2
  • 262
    • 0012944184 scopus 로고
    • A continuumdescription of partially coherent interfaces
    • Leo, P. H. and J. Hu (1995) A continuumdescription of partially coherent interfaces, Cont. Mech. Thermodyn., 7, 39–56.
    • (1995) Cont. Mech. Thermodyn. , vol.7 , pp. 39-56
    • Leo, P.H.1    Hu, J.2
  • 264
    • 0040170655 scopus 로고    scopus 로고
    • Finite element analysis of microstructure for the cubic-to-tetragonal transformation
    • Li, B. and M. Luskin (1998a) Finite element analysis of microstructure for the cubic-to-tetragonal transformation, SIAM J. Numer. Anal., 35, 376–392.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 376-392
    • Li, B.1    Luskin, M.2
  • 265
    • 0032364336 scopus 로고    scopus 로고
    • Nonconforming finite element approximation of crystalline microstructure
    • Li, B. and M. Luskin (1998b) Nonconforming finite element approximation of crystalline microstructure, Math. Comp., 67, 917–946.
    • (1998) Math. Comp. , vol.67 , pp. 917-946
    • Li, B.1    Luskin, M.2
  • 267
    • 0004399103 scopus 로고
    • Macroscopic description of twinning phenomena in crystals
    • russian
    • Lifshitz, I. (1948) Macroscopic description of twinning phenomena in crystals (in russian), Zhur. Exptl. i Theor. Fiz., 18(12), 1134–1143.
    • (1948) Zhur. Exptl. I Theor. Fiz. , vol.18 , Issue.12 , pp. 1134-1143
    • Lifshitz, I.1
  • 270
    • 0030353296 scopus 로고    scopus 로고
    • Approximation of a laminated microstructure for a rotation-ally invariant, double well energy density
    • Luskin, M. (1996a) Approximation of a laminated microstructure for a rotation-ally invariant, double well energy density, Num. Math., 75, 205–221.
    • (1996) Num. Math. , vol.75 , pp. 205-221
    • Luskin, M.1
  • 271
    • 0347284844 scopus 로고    scopus 로고
    • On the computation of crystalline microstructure
    • Luskin, M. (1996b) On the computation of crystalline microstructure, Acta Numerica, 5, 191–257.
    • (1996) Acta Numerica , vol.5 , pp. 191-257
    • Luskin, M.1
  • 272
    • 0026843542 scopus 로고
    • Analysis of the finite element approximation of microstructure in micromagnetics
    • Luskin, M. and L. Ma (1992) Analysis of the finite element approximation of microstructure in micromagnetics, SIAM J. Numer. Anal., 29, 320–331.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 320-331
    • Luskin, M.1    Ma, L.2
  • 277
    • 84971895402 scopus 로고
    • Young measures and the absence of fine microstructures in a class of phase transitions
    • Matos, J. (1992) Young measures and the absence of fine microstructures in a class of phase transitions, Europ. J. Appl. Math., 3, 31–54.
    • (1992) Europ. J. Appl. Math. , vol.3 , pp. 31-54
    • Matos, J.1
  • 278
    • 34147165059 scopus 로고
    • Internal variables and dissipative structures
    • Maugin, G. (1990) Internal variables and dissipative structures, J. of Non-Equil. Therm., 15, 173–192.
    • (1990) J. of Non-Equil. Therm. , vol.15 , pp. 173-192
    • Maugin, G.1
  • 280
    • 0025387418 scopus 로고
    • Eigentensors of linear anisotropic elastic materials
    • Mehrabadi, M. and S. C. Cowin (1990) Eigentensors of linear anisotropic elastic materials, Q. J. of Mech. and Appl. Math., 43, 15–41.
    • (1990) Q. J. of Mech. and Appl. Math. , vol.43 , pp. 15-41
    • Mehrabadi, M.1    Cowin, S.C.2
  • 281
    • 0010912802 scopus 로고
    • Points critiques des fonctions invariantes sur une G-variété
    • Michel, L. (1971) Points critiques des fonctions invariantes sur une G-variété, C. R. Acad. Sci. Paris, Sect. A, 272, 433–436.
    • (1971) C. R. Acad. Sci. Paris, Sect. A , vol.272 , pp. 433-436
    • Michel, L.1
  • 282
    • 0042159323 scopus 로고
    • Nonlinear group actions: Smooth actions of compact lie groups
    • Sen, R. and C. Weil (eds.), Israel University Press, Jerusalem
    • Michel, L. (1972) Nonlinear group actions: smooth actions of compact lie groups. In: Sen, R. and C. Weil (eds.) Statistical Mechanics and Field Theory, Israel University Press, Jerusalem.
    • (1972) Statistical Mechanics and Field Theory
    • Michel, L.1
  • 284
    • 85057450619 scopus 로고
    • Nicodemi, F. (ed.) Scientific Highlights in Memory of Léon Van Hove 81–108, World Scientific, Singapore etc
    • Michel, L. (1993) Extrema of P-invariant functions on the Brillouin zone. In: Nicodemi, F. (ed.) Scientific Highlights in Memory of Léon Van Hove 81–108, World Scientific, Singapore etc.
    • (1993) Extrema of P-Invariant Functions on the Brillouin Zone
    • Michel, L.1
  • 285
    • 0042660198 scopus 로고
    • Bravais classes, Voronoï cells, Delone symbols
    • Lulek, T., W. Florek and S. Walcerz (eds.), Academic Press, Singapore
    • Michel, L. (1995) Bravais classes, Voronoï cells, Delone symbols. In: Lulek, T., W. Florek and S. Walcerz (eds.) Symmetry and structural properties of condensed matter, Academic Press, Singapore.
    • (1995) Symmetry and Structural Properties of Condensed Matter
    • Michel, L.1
  • 291
    • 85011328680 scopus 로고
    • Beiträge zur Kenntnis der Strukturflächen des Kalkspates und über die Beziehungen derselben undereinander und zur Zwillingsbildung am Kalkspat und einigen anderen Mineralen
    • Mügge, O. (1883) Beiträge zur Kenntnis der Strukturflächen des Kalkspates und über die Beziehungen derselben undereinander und zur Zwillingsbildung am Kalkspat und einigen anderen Mineralen, Neues Jahrb. Mineral. Geol., 1, 32.
    • (1883) Neues Jahrb. Mineral. Geol. , vol.1 , pp. 32
    • Mügge, O.1
  • 292
    • 34249964601 scopus 로고
    • On the size of hysteresis in pseudoelasticity
    • Müller, I. (1989) On the size of hysteresis in pseudoelasticity, Cont. Mech. Thermodyn., 1, 125–142.
    • (1989) Cont. Mech. Thermodyn. , vol.1 , pp. 125-142
    • Müller, I.1
  • 295
    • 51649158231 scopus 로고
    • A model for phase transition in pseudoelastic bodies
    • Müller, I. and K. Wilmanski (1980) A model for phase transition in pseudoelastic bodies, Il Nuovo Cimento B, 57, 283–318.
    • (1980) Il Nuovo Cimento B , vol.57 , pp. 283-318
    • Müller, I.1    Wilmanski, K.2
  • 296
    • 0026128956 scopus 로고
    • On the pseudoelastic hysteresis
    • Müller, I. and H. Xu (1991) On the pseudoelastic hysteresis, Acta. Metall. Mater., 39, 263–271.
    • (1991) Acta. Metall. Mater. , vol.39 , pp. 263-271
    • Müller, I.1    Xu, H.2
  • 304
    • 0542447108 scopus 로고
    • Der arithmetisce Begriff der Kristallklassen und die darauf fussende Ableitung der Raumgruppen
    • Niggli, P. and W. Nowacki (1935) Der arithmetisce Begriff der Kristallklassen und die darauf fussende Ableitung der Raumgruppen, Zeitschrift zur Kristallographie, 91, 159–184.
    • (1935) Zeitschrift Zur Kristallographie , vol.91 , pp. 159-184
    • Niggli, P.1    Nowacki, W.2
  • 305
    • 85057460252 scopus 로고
    • Martensitic transformation. Academic Press, New York
    • Nishiyama, Z. (1978) Martensitic transformation. Academic Press, New York, San Francisco and London.
    • (1978) San Francisco and London
    • Nishiyama, Z.1
  • 308
    • 0003538319 scopus 로고
    • PlenumPress, New York and London
    • Ortega, J. M. (1987) Matrix theory. PlenumPress, New York and London.
    • (1987) Matrix Theory
    • Ortega, J.M.1
  • 309
    • 0027694675 scopus 로고
    • New description of long period stacking order structures of martensites in β-phase alloys
    • Otsuka, K., T. Ohba, M. Tokonami and C. Wayman (1993) New description of long period stacking order structures of martensites in β-phase alloys, Scripta. Metall. Mater., 29, 1359–1364.
    • (1993) Scripta. Metall. Mater. , vol.29 , pp. 1359-1364
    • Otsuka, K.1    Ohba, T.2    Tokonami, M.3    Wayman, C.4
  • 310
    • 84985509183 scopus 로고
    • Crystallographic formulae for hexagonal lattices
    • Otte, H. and A. Crocker (1965) Crystallographic formulae for hexagonal lattices, Phys. Stat. Solid., 9, 441–450.
    • (1965) Phys. Stat. Solid. , vol.9 , pp. 441-450
    • Otte, H.1    Crocker, A.2
  • 311
    • 0030283361 scopus 로고    scopus 로고
    • On a kinematic compatibility equation related to elastic stress-free joints and crystal twins
    • Ou, B. (1996) On a kinematic compatibility equation related to elastic stress-free joints and crystal twins, J. of Elasticity, 45, 73–89.
    • (1996) J. of Elasticity , vol.45 , pp. 73-89
    • Ou, B.1
  • 314
    • 0016971995 scopus 로고
    • On the elasticity of monatomic crystals
    • Parry, G. P. (1976) On the elasticity of monatomic crystals, Math. Proc. Camb. Phil. Soc., 80, 189–193.
    • (1976) Math. Proc. Camb. Phil. Soc. , vol.80 , pp. 189-193
    • Parry, G.P.1
  • 316
    • 0018545263 scopus 로고
    • On the comparison of stability criteria in anisotropic materials
    • Parry, G. P. (1979) On the comparison of stability criteria in anisotropic materials, Math. Proc. Camb. Phil. Soc., 86, 529.
    • (1979) Math. Proc. Camb. Phil. Soc. , vol.86 , pp. 529
    • Parry, G.P.1
  • 317
    • 0018918738 scopus 로고
    • Twinning in nonlinearly elastic monatomic crystals
    • Parry, G. P. (1980) Twinning in nonlinearly elastic monatomic crystals, Int. J. of Solids and Structures, 16, 275–281.
    • (1980) Int. J. of Solids and Structures , vol.16 , pp. 275-281
    • Parry, G.P.1
  • 318
    • 0019476939 scopus 로고
    • On phase transitions involving internal strain
    • Parry, G. P. (1981) On phase transitions involving internal strain, Int. J. of Solids and Structures, 17, 361–378.
    • (1981) Int. J. of Solids and Structures , vol.17 , pp. 361-378
    • Parry, G.P.1
  • 319
    • 0019910857 scopus 로고
    • On shear-induced phase transitions in perfect crystals
    • Parry, G. P. (1982a) On shear-induced phase transitions in perfect crystals, Int. J. of Solids and Structures, 18, 59–68.
    • (1982) Int. J. of Solids and Structures , vol.18 , pp. 59-68
    • Parry, G.P.1
  • 320
    • 85057438281 scopus 로고
    • Brulin, O. and R. Hsieh (eds.) Proceedings of the 4th International Symposium on Continuum Models of Discrete Systems, North-Holland, Amsterdam, etc
    • Parry, G. P. (1982b) Phase changes in crystal mechanics. In: Brulin, O. and R. Hsieh (eds.) Proceedings of the 4th International Symposium on Continuum Models of Discrete Systems, North-Holland, Amsterdam, etc.
    • (1982) Phase Changes in Crystal Mechanics
    • Parry, G.P.1
  • 321
    • 0021204821 scopus 로고
    • Changes of invariance in internal variable theories
    • Parry, G. P. (1984a) Changes of invariance in internal variable theories, Int. J. of Solids and Structures, 20, 327–331.
    • (1984) Int. J. of Solids and Structures , vol.20 , pp. 327-331
    • Parry, G.P.1
  • 322
    • 0021206163 scopus 로고
    • The effect of stress on multiple bifurcations in ideal crystals
    • Parry, G. P. (1984b) The effect of stress on multiple bifurcations in ideal crystals, J. Mech. Phys. Solids, 32, 133–148.
    • (1984) J. Mech. Phys. Solids , vol.32 , pp. 133-148
    • Parry, G.P.1
  • 323
    • 0021449356 scopus 로고
    • First kind transitions in ideal crystals
    • Parry, G. P. (1984c) First kind transitions in ideal crystals, SIAM J. Appl. Mech., 44, 479–492.
    • (1984) SIAM J. Appl. Mech. , vol.44 , pp. 479-492
    • Parry, G.P.1
  • 324
    • 0023164104 scopus 로고
    • On internal variable models of phase transitions
    • Parry, G. P. (1987) On internal variable models of phase transitions, J. of Elasticity, 17, 63–70.
    • (1987) J. of Elasticity , vol.17 , pp. 63-70
    • Parry, G.P.1
  • 325
    • 30244570215 scopus 로고
    • Stable periodic phase boundaries in unloaded crystals
    • Parry, G. P. (1989) Stable periodic phase boundaries in unloaded crystals, Cont. Mech. Thermodyn., 1, 305–314.
    • (1989) Cont. Mech. Thermodyn. , vol.1 , pp. 305-314
    • Parry, G.P.1
  • 326
    • 0032286877 scopus 로고    scopus 로고
    • Low-dimensional lattice groups for the continuum mechanics of phase transitions in crystals
    • Parry, G. P. (1998) Low-dimensional lattice groups for the continuum mechanics of phase transitions in crystals, Arch. Rat. Mech. Anal., 145, 1–22.
    • (1998) Arch. Rat. Mech. Anal. , vol.145 , pp. 1-22
    • Parry, G.P.1
  • 328
    • 36149046859 scopus 로고
    • Foundations of statistical mechanics
    • Penrose, O. (1979) Foundations of statistical mechanics, Rep. Progr. Phys., 42, 1937–2006.
    • (1979) Rep. Progr. Phys. , vol.42 , pp. 1937-2006
    • Penrose, O.1
  • 330
    • 0000965104 scopus 로고
    • Reconciliation of local and global symmetries of crystals
    • Pitteri, M. (1984) Reconciliation of local and global symmetries of crystals, J. of Elasticity, 14, 175–190.
    • (1984) J. of Elasticity , vol.14 , pp. 175-190
    • Pitteri, M.1
  • 331
    • 0002331359 scopus 로고
    • On ν+1-lattices, J. of Elasticity, 15
    • Pitteri, M. (1985a) On ν+1-lattices, J. of Elasticity, 15, 3–25.
    • (1985) , pp. 3-25
    • Pitteri, M.1
  • 332
    • 0021793157 scopus 로고
    • On the kinematics of mechanical twinning in crystals
    • Pitteri, M. (1985b) On the kinematics of mechanical twinning in crystals, Arch. Rat. Mech. Anal., 88, 25–57.
    • (1985) Arch. Rat. Mech. Anal. , vol.88 , pp. 25-57
    • Pitteri, M.1
  • 335
    • 0042271919 scopus 로고
    • Some problems in non-linear elasticity of crystalline solids
    • Pitteri, M. (1990) Some problems in non-linear elasticity of crystalline solids, Cont. Mech. Thermodyn., 2, 99–117.
    • (1990) Cont. Mech. Thermodyn. , vol.2 , pp. 99-117
    • Pitteri, M.1
  • 336
    • 0032309308 scopus 로고    scopus 로고
    • Geometry and symmetry of multilattices
    • Pitteri, M. (1998) Geometry and symmetry of multilattices, Int. J. of Plasticity, 14, 139–157.
    • (1998) Int. J. of Plasticity , vol.14 , pp. 139-157
    • Pitteri, M.1
  • 337
    • 0035343048 scopus 로고    scopus 로고
    • Some remarks on conditions for twinning in crystals
    • Pitteri, M. (2001) Some remarks on conditions for twinning in crystals, Int. J. Nonl. Mech., 36, 523–525.
    • (2001) Int. J. Nonl. Mech. , vol.36 , pp. 523-525
    • Pitteri, M.1
  • 339
    • 0000138979 scopus 로고    scopus 로고
    • On the definition and classification of Bravais lattices
    • Pitteri, M. and G. Zanzotto (1996a) On the definition and classification of Bravais lattices, Acta Cryst., A52, 830–838.
    • (1996) Acta Cryst., A , vol.52 , pp. 830-838
    • Pitteri, M.1    Zanzotto, G.2
  • 341
    • 0000414668 scopus 로고    scopus 로고
    • Beyond space groups: On the arithmetic symmetry of multilattices
    • Pitteri, M. and G. Zanzotto (1998a) Beyond space groups: on the arithmetic symmetry of multilattices, Acta Cryst., A54, 359–373.
    • (1998) Acta Cryst., A , vol.54 , pp. 359-373
    • Pitteri, M.1    Zanzotto, G.2
  • 342
    • 0031295875 scopus 로고    scopus 로고
    • Generic and non-generic cubic-to-monoclinic transformations and their twins
    • Pitteri, M. and G. Zanzotto (1998b) Generic and non-generic cubic-to-monoclinic transformations and their twins, Acta Mater., 46, 225–237.
    • (1998) Acta Mater , vol.46 , pp. 225-237
    • Pitteri, M.1    Zanzotto, G.2
  • 344
    • 84933778174 scopus 로고
    • Mémoire sur l’équilibre et le mouvement des corps crystallisés, Paris, Mém
    • Poisson, S. (1842) Mémoire sur l’équilibre et le mouvement des corps crystallisés, Paris, Mém. de l’Acad., 18, 3–152.
    • (1842) De l’Acad , vol.18 , pp. 3-152
    • Poisson, S.1
  • 345
    • 0002332456 scopus 로고
    • l-models of pseudoelasticity and their specifications for some shape memory solids
    • l-models of pseudoelasticity and their specifications for some shape memory solids, Eur. J. Mech. A/Solids, 13, 1–21.
    • (1994) Eur. J. Mech. A/Solids , vol.13 , pp. 1-21
    • Raniecki, B.1    Lexcellent, C.2
  • 346
    • 0041517209 scopus 로고
    • Room temperature deformation processes in zirconium
    • Rapperport, E. (1959) Room temperature deformation processes in zirconium, Acta Metall., 7, 254–260.
    • (1959) Acta Metall , vol.7 , pp. 254-260
    • Rapperport, E.1
  • 347
    • 2842520639 scopus 로고
    • Determination of alpha zirconium (1 1-21) twinning elements using grain boundary rotations
    • AIME
    • Reed-Hill, R., W. Slippy Jr. and L. Buteau (1963) Determination of alpha zirconium (1 1-21) twinning elements using grain boundary rotations, Trans. Met. Soc. AIME, 227, 976–979.
    • (1963) Trans. Met. Soc , vol.227 , pp. 976-979
    • Reed-Hill, R.1    Slippy, W.2    Buteau, L.3
  • 348
    • 0000422307 scopus 로고
    • The domain structure of crystals formed in the solid phase transformation in solids
    • Roitburd, A. (1969) The domain structure of crystals formed in the solid phase transformation in solids, Soviet Phys. Solid State, 10, 2870–2876.
    • (1969) Soviet Phys. Solid State , vol.10 , pp. 2870-2876
    • Roitburd, A.1
  • 349
    • 0018112151 scopus 로고
    • Martensitic transformation as a typical phase transformation in solids
    • Roitburd, A. (1978) Martensitic transformation as a typical phase transformation in solids, Solid State Phys., 33, 317–390.
    • (1978) Solid State Phys , vol.33 , pp. 317-390
    • Roitburd, A.1
  • 350
    • 0032158164 scopus 로고    scopus 로고
    • Martensitic transformation in constrained films
    • Roitburd, A., T. Kim, Q. Su, J. Slutsker and M. Wuttig (1998) Martensitic transformation in constrained films, Acta Mater., 46, 5095–5107.
    • (1998) Acta Mater , vol.46 , pp. 5095-5107
    • Roitburd, A.1    Kim, T.2    Su, Q.3    Slutsker, J.4    Wuttig, M.5
  • 351
    • 0028400207 scopus 로고
    • On the role of shear instability in the modelling of crystal twinning
    • Rosakis, P. and H. Tsai (1994) On the role of shear instability in the modelling of crystal twinning, Mechanics of Materials, 17, 245–259.
    • (1994) Mechanics of Materials , vol.17 , pp. 245-259
    • Rosakis, P.1    Tsai, H.2
  • 352
    • 0345699642 scopus 로고
    • A microstructure of martensite which is not a minimiser of energy: The X-interface
    • Ruddock, G. (1994) A microstructure of martensite which is not a minimiser of energy: The X-interface, Arch. Rat. Mech. Anal., 127, 1–39.
    • (1994) Arch. Rat. Mech. Anal. , vol.127 , pp. 1-39
    • Ruddock, G.1
  • 354
    • 4243887498 scopus 로고
    • A characterization of twinning
    • Santoro, A. (1974) A characterization of twinning, Acta Cryst., A30, 224.
    • (1974) Acta Cryst. , vol.A30 , pp. 224
    • Santoro, A.1
  • 355
    • 51249179197 scopus 로고
    • Geometric invariant theory: A model-independent approach to spontaneous symmetry and/or supersymmetry breaking
    • Sartori, G. (1991) Geometric invariant theory: a model-independent approach to spontaneous symmetry and/or supersymmetry breaking, Rivista del Nuovo Cimento, 14, 1–120.
    • (1991) Rivista Del Nuovo Cimento , vol.14 , pp. 1-120
    • Sartori, G.1
  • 359
    • 0343642965 scopus 로고
    • Versuch einer Erklärung des innern baues der festen Körper
    • Seeber, L. (1824) Versuch einer Erklärung des innern baues der festen Körper, Gilbert’s Ann. der Physik, 76, 229–248.
    • (1824) Gilbert’s Ann. Der Physik , vol.76 , pp. 229-248
    • Seeber, L.1
  • 362
    • 0021451965 scopus 로고
    • A twinning study
    • Sellers, H.S. (1984) A twinning study, J. of Elasticity, 14, 191–200.
    • (1984) J. of Elasticity , vol.14 , pp. 191-200
    • Sellers, H.S.1
  • 363
    • 0042151894 scopus 로고
    • A simple characterization of the subgroups of space groups
    • Senechal, M. (1980) A simple characterization of the subgroups of space groups, Acta Cryst., A36, 845–850.
    • (1980) Acta Cryst., A , vol.36 , pp. 845-850
    • Senechal, M.1
  • 364
    • 0043264696 scopus 로고
    • An informal mathematical introduction. AdamHilger, Bristol, Philadelphia and New York
    • Senechal, M. (1990) Crystalline symmetries. An informal mathematical introduction. AdamHilger, Bristol, Philadelphia and New York.
    • (1990) Crystalline Symmetries
    • Senechal, M.1
  • 365
    • 85057449021 scopus 로고
    • Waldschmidt, M., P. Moussa, J.-M. Luck and C. Itzkyson (eds.) From number theory to physics, Springer-Verlag, Berlin, etc
    • Senechal, M. (1992) Introduction to lattice geometry. In: Waldschmidt, M., P. Moussa, J.-M. Luck and C. Itzkyson (eds.) From number theory to physics, Springer-Verlag, Berlin, etc.
    • (1992) Introduction to Lattice Geometry
    • Senechal, M.1
  • 366
    • 0040639035 scopus 로고
    • Über die kunstliche Herstellung gesetz-massiger Kristallverwassungen des Kalialauns
    • Shalkolsky, M. and A. Shubnikov (1933) Über die kunstliche Herstellung gesetz-massiger Kristallverwassungen des Kalialauns, Zeit. für Krist., 85, 1.
    • (1933) Zeit. für Krist. , vol.85 , pp. 1
    • Shalkolsky, M.1    Shubnikov, A.2
  • 369
    • 0031062025 scopus 로고    scopus 로고
    • Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia
    • Simha, N. K. (1997) Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia, J. Mech. Phys. Solids, 45, 261–292.
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 261-292
    • Simha, N.K.1
  • 372
    • 84968475548 scopus 로고
    • The strain-energy function for anisotropic elastic materials
    • Smith, G. and R. Rivlin (1958) The strain-energy function for anisotropic elastic materials, Trans. Amer. Math. Soc., 88, 175–193.
    • (1958) Trans. Amer. Math. Soc. , vol.88 , pp. 175-193
    • Smith, G.1    Rivlin, R.2
  • 373
    • 0039764112 scopus 로고
    • Die regelmässigen ebenen Punktsysteme von ubegrentzer Ausdehnung
    • Sohncke, L. (1874) Die regelmässigen ebenen Punktsysteme von ubegrentzer Ausdehnung, J. reine Angewandte Mathematik, 77, 47–101.
    • (1874) J. Reine Angewandte Mathematik , vol.77 , pp. 47-101
    • Sohncke, L.1
  • 375
    • 0032675374 scopus 로고    scopus 로고
    • Non-generic concentrations for shape-memory alloys; the case of CuZnAl
    • Soligo, D., G. Zanzotto and M. Pitteri (1999) Non-generic concentrations for shape-memory alloys; the case of CuZnAl, Acta Mater., 47, 2741–2750.
    • (1999) Acta Mater , vol.47 , pp. 2741-2750
    • Soligo, D.1    Zanzotto, G.2    Pitteri, M.3
  • 376
    • 84935158512 scopus 로고    scopus 로고
    • 1894) Sulla legge di razionalità rispetto alle proprietà elastiche dei cristalli
    • Somigliana, C. (1894) Sulla legge di razionalità rispetto alle proprietà elastiche dei cristalli, Atti Reale Accad. Naz. Lincei (Rend.), 3, 238–246.
    • Atti Reale Accad. Naz. Lincei (Rend.) , vol.3 , pp. 238-246
    • Somigliana, C.1
  • 377
    • 0001473461 scopus 로고
    • The Cauchy relations in a molecular theory of elasticity
    • Stakgold, I. (1950) The Cauchy relations in a molecular theory of elasticity, Quart. Appl. Math., 8, 169–186.
    • (1950) Quart. Appl. Math. , vol.8 , pp. 169-186
    • Stakgold, I.1
  • 379
    • 0033100060 scopus 로고    scopus 로고
    • Scaling, universality, and renormalization: Three pillars of modern critical phenomena
    • Stanley, H. E. (1999) Scaling, universality, and renormalization: three pillars of modern critical phenomena, Rev. Mod. Phys., 71, S358–S366.
    • (1999) Rev. Mod. Phys. , vol.71 , pp. S358-S366
    • Stanley, H.E.1
  • 381
    • 33747357979 scopus 로고
    • Su un sistema di equazioni integrodifferenziali interessante l’elastostatica
    • Stoppelli, F. (1957) Su un sistema di equazioni integrodifferenziali interessante l’elastostatica, Ricerche Matematiche, 6, 11–26.
    • (1957) Ricerche Matematiche , vol.6 , pp. 11-26
    • Stoppelli, F.1
  • 385
    • 85057459807 scopus 로고    scopus 로고
    • The mechanics and thermodynamics of continuous media
    • Šilhavý, M. (1997) The mechanics and thermodynamics of continuous media. Springer-Verlag, Berlin, etc.
    • (1997) Springer-Verlag, Berlin, Etc.
    • Šilhavý, M.1
  • 386
    • 0033280916 scopus 로고    scopus 로고
    • On the compatibility of wells
    • Šilhavý, M. (1999) On the compatibility of wells, J. of Elasticity, 55, 11–17.
    • (1999) J. of Elasticity , vol.55 , pp. 11-17
    • Šilhavý, M.1
  • 387
    • 0035254305 scopus 로고    scopus 로고
    • Rank 1 perturbations of deformation gradients
    • Šilhavý, M. (2001) Rank 1 perturbations of deformation gradients, Int. J. of Solids and Structures, 38, 943–965.
    • (2001) Int. J. of Solids and Structures , vol.38 , pp. 943-965
    • Šilhavý, M.1
  • 388
    • 85057502653 scopus 로고
    • Rank-1 convexity does not imply quasiconvexity
    • Šverák, V. (1992) Rank-1 convexity does not imply quasiconvexity, Proc. Roy. Soc. Edinburgh, A120, 293–300.
    • (1992) Proc. Roy. Soc. Edinburgh , vol.A120 , pp. 293-300
    • Šverák, V.1
  • 390
    • 0039227843 scopus 로고
    • Observations on a CuAlNi single crystal
    • Tan, S. and H. Xu (1990) Observations on a CuAlNi single crystal, Cont. Mech. Thermodyn., 2, 241–244.
    • (1990) Cont. Mech. Thermodyn. , vol.2 , pp. 241-244
    • Tan, S.1    Xu, H.2
  • 391
    • 0021649734 scopus 로고
    • Étude des oscillations dans les équations aux dérivées partielles nonlinéaires
    • New York, etc
    • Tartar, L. (1984) Étude des oscillations dans les équations aux dérivées partielles nonlinéaires. In: Lecture Notes in Physics 195 384–412, Springer-Verlag, New York, etc.
    • (1984) Lecture Notes in Physics 195 384–412, Springer-Verlag
    • Tartar, L.1
  • 392
    • 84974050752 scopus 로고
    • H-measures, a new approach for studying homogenization, oscillations, and concentration effects in partial differential equations
    • Tartar, L. (1990) H-measures, a new approach for studying homogenization, oscillations, and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh, A115, 193–230.
    • (1990) Proc. Roy. Soc. Edinburgh, A , vol.115 , pp. 193-230
    • Tartar, L.1
  • 393
    • 0000653587 scopus 로고
    • Beyond young measures
    • Tartar, L. (1995) Beyond young measures, Meccanica, 30, 505–526.
    • (1995) Meccanica , vol.30 , pp. 505-526
    • Tartar, L.1
  • 394
    • 0021362254 scopus 로고
    • The structural behavior of tetrahedral framework compounds-A review. Part ii: Framework structures
    • Taylor, D. (1984) The structural behavior of tetrahedral framework compounds-A review. Part ii: Framework structures, Min. Mag., 48, 65.
    • (1984) Min. Mag. , vol.48 , pp. 65
    • Taylor, D.1
  • 395
    • 85057457076 scopus 로고
    • Die Festigkeitserscheinungen der Kristalle. Springer
    • Tertsch, H. (1949) Die Festigkeitserscheinungen der Kristalle. Springer, Wien.
    • (1949) Wien
    • Tertsch, H.1
  • 396
    • 0001791096 scopus 로고
    • Piezocrescence-the growth of Dauphiné twinning in quartz under stress
    • Thomas, L. and W. Wooster (1951) Piezocrescence-the growth of Dauphiné twinning in quartz under stress, Proc. Roy. Soc. London, A208, 43–62.
    • (1951) Proc. Roy. Soc. London, A , vol.208 , pp. 43-62
    • Thomas, L.1    Wooster, W.2
  • 400
    • 0040030444 scopus 로고
    • Volume VIa/4 of Handbuch der Physik, 109–308, Springer-Verlag. Berlin, Heidelberg and New York
    • Thurston, R. N. (1974) Waves in solids. Volume VIa/4 of Handbuch der Physik, 109–308, Springer-Verlag. Berlin, Heidelberg and New York.
    • (1974) Waves in Solids
    • Thurston, R.N.1
  • 403
    • 0001654235 scopus 로고
    • The elastic dielectric
    • Toupin, R. A. (1956) The elastic dielectric, J. of Rat. Mech. Anal., 5, 849–915.
    • (1956) J. of Rat. Mech. Anal. , vol.5 , pp. 849-915
    • Toupin, R.A.1
  • 407
    • 1642467331 scopus 로고
    • Critical nuclei in the van der Waals model, Dokl. Akad. Nauk SSSR
    • Truskinovsky, L. (1983a) Critical nuclei in the van der Waals model, Dokl. Akad. Nauk SSSR, 269, 587–592.
    • (1983) , vol.269 , pp. 587-592
    • Truskinovsky, L.1
  • 408
    • 3142692574 scopus 로고
    • On the tensor of chemical potential
    • Truskinovsky, L. (1983b) On the tensor of chemical potential, Geochimija, 12, 1730–1744.
    • (1983) Geochimija , vol.12 , pp. 1730-1744
    • Truskinovsky, L.1
  • 409
    • 34249755077 scopus 로고
    • Metastability and finite-scale microstructures in one-dimensional elasticity
    • Truskinovsky, L. and G. Zanzotto (1995) Metastability and finite-scale microstructures in one-dimensional elasticity, Meccanica, 30, 577–589.
    • (1995) Meccanica , vol.30 , pp. 577-589
    • Truskinovsky, L.1    Zanzotto, G.2
  • 410
    • 0030215097 scopus 로고    scopus 로고
    • Ericksen’s bar revisited: Energy wiggles
    • Truskinovsky, L. and G. Zanzotto (1996) Ericksen’s bar revisited: energy wiggles, J. Mech. Phys. Solids, 44, 1371–1408.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1371-1408
    • Truskinovsky, L.1    Zanzotto, G.2
  • 417
    • 0001483635 scopus 로고
    • On the theory of the formation of martensite
    • Wechsler, M., D. Lieberman and T. Read (1953) On the theory of the formation of martensite, Trans. AIME J. Metals, 197, 1503–1515.
    • (1953) Trans. AIME J. Metals , vol.197 , pp. 1503-1515
    • Wechsler, M.1    Lieberman, D.2    Read, T.3
  • 420
    • 0348023792 scopus 로고
    • Holden-Day, Inc., San Francisco. Reprinted by Dover
    • Yale, P. (1968) Geometry and symmetry. Holden-Day, Inc., San Francisco. Reprinted by Dover, 1988.
    • (1968) Geometry and Symmetry , pp. 1988
    • Yale, P.1
  • 421
    • 68949099302 scopus 로고
    • Slip, twinning and fracture in hexagonal close-packed metals
    • Yoo, M. (1981) Slip, twinning and fracture in hexagonal close-packed metals, Metallurgical Transactions, A12, 409–418.
    • (1981) Metallurgical Transactions, A , vol.12 , pp. 409-418
    • Yoo, M.1
  • 423
    • 0010485120 scopus 로고
    • Twinning in minerals and metals: Remarks on the comparison of a thermoelastic theory with some experimental results. Part 1: Generalities and mechanical twinning, and Part 2: Mechanical twinning and growth twinning
    • Zanzotto, G. (1988) Twinning in minerals and metals: remarks on the comparison of a thermoelastic theory with some experimental results. Part 1: Generalities and mechanical twinning, and Part 2: Mechanical twinning and growth twinning, Atti Acc. Naz. Lincei, Rend. Sci. Fis., Mat., Nat., 82, 725–756.
    • (1988) Atti Acc. Naz. Lincei, Rend. Sci. Fis., Mat., Nat. , vol.82 , pp. 725-756
    • Zanzotto, G.1
  • 424
    • 0000847492 scopus 로고
    • Geobarothermometric properties of growth twins and mathematical analysis of quartz data for a broad range of temperatures and pressures
    • Zanzotto, G. (1989) Geobarothermometric properties of growth twins and mathematical analysis of quartz data for a broad range of temperatures and pressures, Phys. and Chem. of Min., 16, 783–789.
    • (1989) Phys. and Chem. of Min. , vol.16 , pp. 783-789
    • Zanzotto, G.1
  • 425
    • 0025429506 scopus 로고
    • Thermoelastic stability of multiple growth twins in quartz and general geobarothermometric implications
    • Zanzotto, G. (1990) Thermoelastic stability of multiple growth twins in quartz and general geobarothermometric implications, J. of Elasticity, 23, 253–287.
    • (1990) J. of Elasticity , vol.23 , pp. 253-287
    • Zanzotto, G.1
  • 426
    • 21144474420 scopus 로고
    • On the material symmetry group of elastic crystals and the Born rule
    • Zanzotto, G. (1992) On the material symmetry group of elastic crystals and the Born rule, Arch. Rat. Mech. Anal., 121, 1–36.
    • (1992) Arch. Rat. Mech. Anal. , vol.121 , pp. 1-36
    • Zanzotto, G.1
  • 427
    • 0000369691 scopus 로고    scopus 로고
    • The Cauchy and Born hypothesis, nonlinear elasticity and mechanical twinning in crystals
    • Zanzotto, G. (1996a) The Cauchy and Born hypothesis, nonlinear elasticity and mechanical twinning in crystals, Acta Cryst., A52, 839–849.
    • (1996) Acta Cryst., A , vol.52 , pp. 839-849
    • Zanzotto, G.1
  • 430
    • 0038239852 scopus 로고
    • Three body forces and the third order elastic constants of the rare gas crystals
    • Zucker, I. and D. Paik (1979) Three body forces and the third order elastic constants of the rare gas crystals, J. Phys. C, 12, 771–782.
    • (1979) J. Phys. C , vol.12 , pp. 771-782
    • Zucker, I.1    Paik, D.2


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