메뉴 건너뛰기




Volumn 48, Issue 6, 2000, Pages 1493-1517

Relaxed constitutive relations for phase transforming materials

Author keywords

[No Author keywords available]

Indexed keywords

AUSTENITE; CRYSTAL LATTICES; CRYSTAL ORIENTATION; CRYSTAL SYMMETRY; ELASTIC MODULI; HIGH TEMPERATURE PROPERTIES; MARTENSITE; MATHEMATICAL MODELS; MATRIX ALGEBRA; RELAXATION PROCESSES; SET THEORY;

EID: 0033893742     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(99)00093-9     Document Type: Article
Times cited : (26)

References (36)
  • 1
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • Ball J.M. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rat. Mech. Anal. 63:1977;337-403.
    • (1977) Arch. Rat. Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 2
    • 0000093666 scopus 로고
    • A Version of the Fundamental Theorem of Young Measures in PDE's and Continuum Models of Phase Transitions
    • M. Rascle, D. Serre, & M. Slemrod. Berlin: Springer
    • Ball J.M. A Version of the Fundamental Theorem of Young Measures in PDE's and Continuum Models of Phase Transitions. Rascle M., Serre D., Slemrod M. Lecture Notes in Physics 344. 1989;207-215 Springer, Berlin.
    • (1989) Lecture Notes in Physics 344 , pp. 207-215
    • Ball, J.M.1
  • 3
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • Ball J.M., James R.D. Fine phase mixtures as minimizers of energy. Arch. Rat. Mech. Anal. 100:1987;13-52.
    • (1987) Arch. Rat. Mech. Anal. , vol.100 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 4
    • 0002854369 scopus 로고
    • Proposed experimental tests of a theory of fine microstructure and the two-well problem
    • Ball J.M., James R.D. Proposed experimental tests of a theory of fine microstructure and the two-well problem. Phil. Trans. R. Soc. London A. 338:1992;389-450.
    • (1992) Phil. Trans. R. Soc. London a , vol.338 , pp. 389-450
    • Ball, J.M.1    James, R.D.2
  • 6
    • 85031613663 scopus 로고    scopus 로고
    • Private communication and in preparation
    • Ball, J.M., Kirchheim, B., Kristensen, J., 2000. Private communication and in preparation.
    • (2000)
    • Ball, J.M.1    Kirchheim, B.2    Kristensen, J.3
  • 7
    • 0001265315 scopus 로고
    • Twin boundaries in ferroelastic media without interface dislocations
    • Barsch G.R., Krumhansl J.A. Twin boundaries in ferroelastic media without interface dislocations. Phys. Rev. Lett. 53:1984;1069-1072.
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1069-1072
    • Barsch, G.R.1    Krumhansl, J.A.2
  • 8
    • 0026237525 scopus 로고
    • Wedge-like microstructure in martensites
    • Bhattacharya K. Wedge-like microstructure in martensites. Acta Metall. Mater. 39:1991;2431-2444.
    • (1991) Acta Metall. Mater. , vol.39 , pp. 2431-2444
    • Bhattacharya, K.1
  • 9
    • 0345406326 scopus 로고
    • Self-accommodation in martensite
    • Bhattacharya K. Self-accommodation in martensite. Arch. Rat. Mech. Anal. 120:1992;201-244.
    • (1992) Arch. Rat. Mech. Anal. , vol.120 , pp. 201-244
    • Bhattacharya, K.1
  • 11
    • 0033098284 scopus 로고    scopus 로고
    • A theory of thin films of martensitic materials with applications to microactuators
    • Bhattacharya K., James R.D. A theory of thin films of martensitic materials with applications to microactuators. J. Mech. Phys. Solids. 47:1999;531-576.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 531-576
    • Bhattacharya, K.1    James, R.D.2
  • 12
    • 0033437538 scopus 로고    scopus 로고
    • Uniqueness and stability of the simply laminated microstructure for martensitic crystals that undergo a cubic to orthorhombic phase transformation
    • Bhattacharya, K., Li, B., Luskin, M., 1999. Uniqueness and stability of the simply laminated microstructure for martensitic crystals that undergo a cubic to orthorhombic phase transformation. Arch. Rat. Mech. Anal. 149, 123-154.
    • (1999) Arch. Rat. Mech. Anal. , vol.149 , pp. 123-154
    • Bhattacharya, K.1    Li, B.2    Luskin, M.3
  • 14
    • 0017556502 scopus 로고
    • Electron microscopy of internally faulted Cu-Zn-Al martensite
    • Chakravorty S., Wayman C.M. Electron microscopy of internally faulted Cu-Zn-Al martensite. Acta Metall. 25:1977;989-1000.
    • (1977) Acta Metall. , vol.25 , pp. 989-1000
    • Chakravorty, S.1    Wayman, C.M.2
  • 17
    • 0019177638 scopus 로고
    • Some phase transitions in crystals
    • Ericksen J.L. Some phase transitions in crystals. Arch. Rat. Mech. Anal. 73:1980;99-124.
    • (1980) Arch. Rat. Mech. Anal. , vol.73 , pp. 99-124
    • Ericksen, J.L.1
  • 18
    • 0022906928 scopus 로고
    • Constitutive theory for some constrained elastic crystals
    • Ericksen J.L. Constitutive theory for some constrained elastic crystals. Int. J. Solids Struct. 22:1986;951-964.
    • (1986) Int. J. Solids Struct. , vol.22 , pp. 951-964
    • Ericksen, J.L.1
  • 20
    • 0032637213 scopus 로고    scopus 로고
    • Bulk and thin film microstructures in untwinned martensite
    • Hane, K., 1999. Bulk and thin film microstructures in untwinned martensite. J. Mech. Phys. Solids 47, 1917-1939.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1917-1939
    • Hane, K.1
  • 21
    • 0343327176 scopus 로고
    • Unpublished notes
    • James, R.D., 1990. Unpublished notes.
    • (1990)
    • James, R.D.1
  • 23
    • 0001139965 scopus 로고
    • Characterization of Young measures generated by gradients
    • Kinderlehrer D., Pedregal P. Characterization of Young measures generated by gradients. Arch. Rat. Mech. Anal. 115:1991;329-365.
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 329-365
    • Kinderlehrer, D.1    Pedregal, P.2
  • 24
    • 0001000267 scopus 로고
    • The relaxation of a double well energy
    • Kohn R.V. The relaxation of a double well energy. Cont. Mech. Thermodyn. 3:1991;193-236.
    • (1991) Cont. Mech. Thermodyn. , vol.3 , pp. 193-236
    • Kohn, R.V.1
  • 25
    • 0000312494 scopus 로고
    • The nonlinear membrane model as a variational limit of nonlinear three-dimensional elasticity
    • Le Drét H., Raoult A. The nonlinear membrane model as a variational limit of nonlinear three-dimensional elasticity. J. Math. Pures. Appl. 74:1995;549-578.
    • (1995) J. Math. Pures. Appl. , vol.74 , pp. 549-578
    • Le Drét, H.1    Raoult, A.2
  • 26
    • 0016034793 scopus 로고
    • Morphology and crystallography of thermoelastic Cu-Al-Ni martensite analyzed by the phenomenological theory
    • Otsuka K., Shimizu K. Morphology and crystallography of thermoelastic Cu-Al-Ni martensite analyzed by the phenomenological theory. Trans. JIM. 15:1974;103-108.
    • (1974) Trans. JIM , vol.15 , pp. 103-108
    • Otsuka, K.1    Shimizu, K.2
  • 28
    • 0026103883 scopus 로고
    • Elastic materials with two preferred states
    • Pipkin A.C. Elastic materials with two preferred states. Q. J. Mech. Appl. Math. 44:1991;1-15.
    • (1991) Q. J. Mech. Appl. Math. , vol.44 , pp. 1-15
    • Pipkin, A.C.1
  • 31
    • 0034422268 scopus 로고    scopus 로고
    • Heterogeneous thin films of martensitic materials
    • to appear
    • Shu, Y.C., 2000. Heterogeneous thin films of martensitic materials. Arch. Rat. Mech. Anal., to appear.
    • (2000) Arch. Rat. Mech. Anal.
    • Shu, Y.C.1
  • 32
    • 0031062025 scopus 로고    scopus 로고
    • Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia
    • Simha N.K. Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia. J. Mech. Phys. Solids. 45:1997;261-274.
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 261-274
    • Simha, N.K.1
  • 34
    • 0038831167 scopus 로고
    • Lower semicontinuity of variational integrals and compensated compactness
    • Chatterji S.D. Basel: Birkhäuser
    • Šverák V. Lower semicontinuity of variational integrals and compensated compactness. Chatterji S.D. Proc. ICM 1994. vol. 2:1995;1153-1158 Birkhäuser, Basel.
    • (1995) Proc. ICM 1994 , vol.2 , pp. 1153-1158
    • Šverák, V.1
  • 35
    • 0000440966 scopus 로고
    • Compensated compactness and partial differential equations
    • Knops R. London: Pitman
    • Tartar L. Compensated compactness and partial differential equations. Knops R. Non linear analysis and mechanics: Heriot-Watt Symposium. vol. IV:1979;136-212 Pitman, London.
    • (1979) Non Linear Analysis and Mechanics: Heriot-Watt Symposium , vol.4 , pp. 136-212
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.