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Volumn 54, Issue 1, 2006, Pages 193-232

Stability of crystalline solids - II: Application to temperature-induced martensitic phase transformations in a bi-atomic crystal

Author keywords

Asymptotic analysis; Finite strain; Phase transformation; Stability and bifurcation

Indexed keywords

COPPER ALLOYS; CRYSTAL STRUCTURE; GOLD ALLOYS; MARTENSITIC TRANSFORMATIONS; NICKEL ALLOYS; PHONONS; SHAPE MEMORY EFFECT;

EID: 27844599704     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.07.008     Document Type: Article
Times cited : (36)

References (67)
  • 1
    • 0027553650 scopus 로고
    • A continuum model of a thermoelastic solid capable of undergoing phase transitions
    • R. Abeyaratne, and J.K. Knowles A continuum model of a thermoelastic solid capable of undergoing phase transitions J. Mech. Phys. Solids 41 3 1993 541 571
    • (1993) J. Mech. Phys. Solids , vol.41 , Issue.3 , pp. 541-571
    • Abeyaratne, R.1    Knowles, J.K.2
  • 2
    • 27844482232 scopus 로고    scopus 로고
    • Accelrys, 2004. MS modeling. http://www.accelrys.com.
    • (2004) MS Modeling
  • 5
    • 0026237525 scopus 로고
    • Wedge-like microstructure in martensites
    • K. Bhattacharya Wedge-like microstructure in martensites Acta Metallurgical et Materialia 39 10 1991 2431 2444
    • (1991) Acta Metallurgical et Materialia , vol.39 , Issue.10 , pp. 2431-2444
    • Bhattacharya, K.1
  • 8
    • 0028734524 scopus 로고
    • Constitutive model for simultaneous transformation and reorientation in shape memory materials
    • Am. Soc. Mech. Eng., Appl. Mech. Div.
    • Boyd, J.G., Lagoudas, D.C., 1994. Constitutive model for simultaneous transformation and reorientation in shape memory materials. Am. Soc. Mech. Eng., Appl. Mech. Div., AMD. Mech. Phase Transform. Shape Memory Alloys. 189, 159-172.
    • (1994) AMD. Mech. Phase Transform. Shape Memory Alloys. , vol.189 , pp. 159-172
    • Boyd, J.G.1    Lagoudas, D.C.2
  • 9
    • 0027575167 scopus 로고
    • One-dimensional constitutive behavior of shape memory alloys: Thermomechanical derivation with non-constant material functions and redefined martensite internal variable
    • L.C. Brinson One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable J. Intel. Mater. Systems Struct. 4 1993 229 242
    • (1993) J. Intel. Mater. Systems Struct. , vol.4 , pp. 229-242
    • Brinson, L.C.1
  • 12
    • 0039682810 scopus 로고
    • Academic Press, New York Chapter-Beyond Pair Potentials in Elemental Transition Metals and Semiconductors
    • Carlsson, A.E., 1990. Solid State Physics, vol. 43. Academic Press, New York, pp. 1-91 (Chapter-Beyond Pair Potentials in Elemental Transition Metals and Semiconductors).
    • (1990) Solid State Physics , vol.43 , pp. 1-91
    • Carlsson, A.E.1
  • 13
    • 0001870972 scopus 로고
    • Plastic deformation and diffusionless phase changes in metals - The gold-cadmium beta phase
    • L.C. Chang, and T.A. Read Plastic deformation and diffusionless phase changes in metals - the gold-cadmium beta phase Am. Inst. Min. Metall. Eng. - J. Met. 191 1 1951 47 52
    • (1951) Am. Inst. Min. Metall. Eng. - J. Met. , vol.191 , Issue.1 , pp. 47-52
    • Chang, L.C.1    Read, T.A.2
  • 14
    • 0036474374 scopus 로고    scopus 로고
    • Linear elastic chain with a hyper-prestress
    • M. Charlotte, and L. Truskinovsky Linear elastic chain with a hyper-prestress J. Mech. Phys. Solids 50 2 2002 217 251
    • (2002) J. Mech. Phys. Solids , vol.50 , Issue.2 , pp. 217-251
    • Charlotte, M.1    Truskinovsky, L.2
  • 15
    • 0000743798 scopus 로고
    • Analysis of microstructures in Cu-14.0%Al-3.9%Ni by energy minimization
    • C. Chu, and R.D. James Analysis of microstructures in Cu-14.0%Al-3.9%Ni by energy minimization J. Phys. C8 5 1995 143 149
    • (1995) J. Phys. C8 , vol.5 , pp. 143-149
    • Chu, C.1    James, R.D.2
  • 16
    • 0009986859 scopus 로고
    • On the classification of displacive phase transformations
    • International Conference on Martensitic Transformations
    • Cohen, M., Olson, G.B., Clapp, P.C., 1979. On the classification of displacive phase transformations. In: Proceedings of ICOMAT-79, p. 1. International Conference on Martensitic Transformations.
    • (1979) Proceedings of ICOMAT-79 , pp. 1
    • Cohen, M.1    Olson, G.B.2    Clapp, P.C.3
  • 18
    • 27844533095 scopus 로고    scopus 로고
    • Ph.D. Thesis, Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI, USA
    • Elliott, R.S., 2004. Lattice-level instabilities in bi-atomic alloys. Ph.D. Thesis, Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI, USA.
    • (2004) Lattice-level Instabilities in Bi-atomic Alloys
    • Elliott, R.S.1
  • 19
    • 0037014453 scopus 로고    scopus 로고
    • Stability of pressure-dependent, thermally-induced displacive transformations in bi-atomic lattices
    • R.S. Elliott, J.A. Shaw, and N. Triantafyllidis Stability of pressure-dependent, thermally-induced displacive transformations in bi-atomic lattices Int. J. Solids Struct. 39 13-14 2002 3845 3856
    • (2002) Int. J. Solids Struct. , vol.39 , Issue.13-14 , pp. 3845-3856
    • Elliott, R.S.1    Shaw, J.A.2    Triantafyllidis, N.3
  • 20
    • 0036833226 scopus 로고    scopus 로고
    • Stability of thermally-induced martensitic transformations in bi-atomic crystals
    • R.S. Elliott, J.A. Shaw, and N. Triantafyllidis Stability of thermally-induced martensitic transformations in bi-atomic crystals J. Mech. Phys. Solids 50 11 2002 2463 2493
    • (2002) J. Mech. Phys. Solids , vol.50 , Issue.11 , pp. 2463-2493
    • Elliott, R.S.1    Shaw, J.A.2    Triantafyllidis, N.3
  • 21
    • 5444237207 scopus 로고    scopus 로고
    • Stability of dispersive bi-atomic crystals
    • Lagoudas, D.C. (Ed.), Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics The International Society for Optical Engineering (SPIE)
    • Elliott, R.S., Shaw, J.A., Triantafyllidis, N., 2004a. Stability of dispersive bi-atomic crystals. In: Lagoudas, D.C. (Ed.), Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics, Proceedings of SPIE, vol. 5387. The International Society for Optical Engineering (SPIE), pp. 239-248.
    • (2004) Proceedings of SPIE , vol.5387 , pp. 239-248
    • Elliott, R.S.1    Shaw, J.A.2    Triantafyllidis, N.3
  • 22
    • 27844441777 scopus 로고    scopus 로고
    • Stability of crystalline solids - I: Continuum and atomic-lattice considerations
    • submitted for publication, doi: 10.1016/j.mps.2005.07.009
    • Elliott, R.S., Triantafyllidis, N., Shaw, J.A., 2004b. Stability of crystalline solids - I: Continuum and atomic-lattice considerations. J. Mech. Phys. Solids, submitted for publication, doi: 10.1016/j.mps.2005.07.009.
    • (2004) J. Mech. Phys. Solids
    • Elliott, R.S.1    Triantafyllidis, N.2    Shaw, J.A.3
  • 23
    • 0016569455 scopus 로고
    • Equilibrium of bars
    • J.L. Ericksen Equilibrium of bars J. Elasticity 5 3-4 1975 191 201
    • (1975) J. Elasticity , vol.5 , Issue.3-4 , pp. 191-201
    • Ericksen, J.L.1
  • 24
    • 0018053018 scopus 로고
    • On the symmetry and stability of thermoelastic solids
    • J.L. Ericksen On the symmetry and stability of thermoelastic solids J. Appl. Mech. - Transact. ASME 45 1978 740 744
    • (1978) J. Appl. Mech. - Transact. ASME , vol.45 , pp. 740-744
    • Ericksen, J.L.1
  • 26
    • 0026881555 scopus 로고
    • Bifurcation and martensitic transformations in bravais lattices
    • J.L. Ericksen Bifurcation and martensitic transformations in bravais lattices J. Elasticity 28 1992 55 78
    • (1992) J. Elasticity , vol.28 , pp. 55-78
    • Ericksen, J.L.1
  • 27
    • 0033356309 scopus 로고    scopus 로고
    • Electronic structure and stability of intermetallic compounds in the Ti-Ni system
    • T. Fukuda, T. Kakeshita, H. Houjoh, S. Shiraishi, and T. Saburi Electronic structure and stability of intermetallic compounds in the Ti-Ni system Mater. Sci. Eng. 273-275 1999 166 169
    • (1999) Mater. Sci. Eng. , vol.273-275 , pp. 166-169
    • Fukuda, T.1    Kakeshita, T.2    Houjoh, H.3    Shiraishi, S.4    Saburi, T.5
  • 28
    • 36149011049 scopus 로고
    • Application of the morse potential function to cubic metals
    • L.A. Girifalco, and V.G. Weizer Application of the morse potential function to cubic metals Phys. Rev. 114 3 1959 687 690
    • (1959) Phys. Rev. , vol.114 , Issue.3 , pp. 687-690
    • Girifalco, L.A.1    Weizer, V.G.2
  • 29
    • 0029387243 scopus 로고
    • Computer simulation of martensitic transformation in Fe-Ni face-centered cubic alloys
    • M. Grujicic, and P. Dang Computer simulation of martensitic transformation in Fe-Ni face-centered cubic alloys Mater. Sci. Eng. A201 1-2 1995 194 204
    • (1995) Mater. Sci. Eng. , vol.201 , Issue.1-2 , pp. 194-204
    • Grujicic, M.1    Dang, P.2
  • 30
    • 0036495578 scopus 로고    scopus 로고
    • Application of a partially relaxed shape memory free energy function to estimate the phase diagram and predict global microstructure evolution
    • G.J. Hall, and S. Govindjee Application of a partially relaxed shape memory free energy function to estimate the phase diagram and predict global microstructure evolution J. Mech. Phys. Solids 50 3 2002 501 530
    • (2002) J. Mech. Phys. Solids , vol.50 , Issue.3 , pp. 501-530
    • Hall, G.J.1    Govindjee, S.2
  • 31
    • 0032658898 scopus 로고    scopus 로고
    • Microstructure in the cubic to monoclinic transition in titanium-nickel shape memory alloys
    • K.F. Hane, and T.W. Shield Microstructure in the cubic to monoclinic transition in titanium-nickel shape memory alloys Acta Materialia 47 9 1999 2603 2617
    • (1999) Acta Materialia , vol.47 , Issue.9 , pp. 2603-2617
    • Hane, K.F.1    Shield, T.W.2
  • 33
    • 0022594411 scopus 로고
    • Displacive phase transformations in solids
    • R.D. James Displacive phase transformations in solids J. Mech. Phys. Solids 34 4 1986 359 394
    • (1986) J. Mech. Phys. Solids , vol.34 , Issue.4 , pp. 359-394
    • James, R.D.1
  • 34
    • 0242307866 scopus 로고    scopus 로고
    • Molecular dynamics of a 2D model of the shape memory effect part i: Model and simulations
    • O. Kastner Molecular dynamics of a 2D model of the shape memory effect part i: model and simulations Continuum Mech. Thermodyn. 15 5 2003 487 502
    • (2003) Continuum Mech. Thermodyn. , vol.15 , Issue.5 , pp. 487-502
    • Kastner, O.1
  • 35
    • 0027642312 scopus 로고
    • Transient heat transfer effects on the pseudoelastic behavior of shape-memory wires
    • P.H. Leo, T.W. Shield, and O.P. Bruno Transient heat transfer effects on the pseudoelastic behavior of shape-memory wires Acta Metall. et Mater. 41 8 1993 2477 2485
    • (1993) Acta Metall. et Mater. , vol.41 , Issue.8 , pp. 2477-2485
    • Leo, P.H.1    Shield, T.W.2    Bruno, O.P.3
  • 36
    • 0032019122 scopus 로고    scopus 로고
    • Thermomechanical theory of martensitic phase transformations in inelastic materials
    • V.I. Levitas Thermomechanical theory of martensitic phase transformations in inelastic materials Int. J. Solids Struct. 35 9-10 1998 889 940
    • (1998) Int. J. Solids Struct. , vol.35 , Issue.9-10 , pp. 889-940
    • Levitas, V.I.1
  • 38
    • 54149113176 scopus 로고    scopus 로고
    • Memry Corporation, 2004. NiTi frequently asked questions. http://www.memry.com/nitinolfaq/nitinolfaq.html.
    • (2004) NiTi Frequently Asked Questions
  • 40
    • 0032759501 scopus 로고    scopus 로고
    • Thermal trapping and kinetics of martensitic phase boundaries
    • S.-C. Ngan, and L. Truskinovsky Thermal trapping and kinetics of martensitic phase boundaries J. Mech. Phys. Solids 47 1 1999 141 172
    • (1999) J. Mech. Phys. Solids , vol.47 , Issue.1 , pp. 141-172
    • Ngan, S.-C.1    Truskinovsky, L.2
  • 42
    • 0015068236 scopus 로고
    • Crystal structure and internal defects of equiatomic TiNi martensite
    • K. Otsuka, T. Sawamura, and K. Shimizu Crystal structure and internal defects of equiatomic TiNi martensite Phys. Status Solidi A 5 2 1971 457 470
    • (1971) Phys. Status Solidi A , vol.5 , Issue.2 , pp. 457-470
    • Otsuka, K.1    Sawamura, T.2    Shimizu, K.3
  • 43
    • 0016034793 scopus 로고
    • Morphology and crystallography of thermoelastic Cu-Al-Ni martensite analyzed by the phenomenological theory
    • K. Otsuka, and K. Shimizu Morphology and crystallography of thermoelastic Cu-Al-Ni martensite analyzed by the phenomenological theory Trans. Japan Inst. Met. 15 2 1974 103 108
    • (1974) Trans. Japan Inst. Met. , vol.15 , Issue.2 , pp. 103-108
    • Otsuka, K.1    Shimizu, K.2
  • 44
    • 0004146626 scopus 로고
    • Saunders College Publishing Fort Worth
    • V.A. Patel Numerical Analysis 1994 Saunders College Publishing Fort Worth
    • (1994) Numerical Analysis
    • Patel, V.A.1
  • 45
    • 0029694705 scopus 로고    scopus 로고
    • Micromechanical modelling of superelasticity in shape memory alloys
    • Patoor, E., Eberhardt, A., Berveiller, M., 1996. Micromechanical modelling of superelasticity in shape memory alloys. J. Physi. IV: JP 6, C1-277-C1-292.
    • (1996) J. Physi. IV: JP , vol.6
    • Patoor, E.1    Eberhardt, A.2    Berveiller, M.3
  • 47
    • 0000965104 scopus 로고
    • Reconciliation of local and global symmetries of crystals
    • M. Pitteri Reconciliation of local and global symmetries of crystals J. Elasticity 14 1984 175 190
    • (1984) J. Elasticity , vol.14 , pp. 175-190
    • Pitteri, M.1
  • 48
    • 5444220037 scopus 로고    scopus 로고
    • Continuum models for phase transitions and twinning in crystals
    • Chapman & Hall, London
    • Pitteri, M., Zanzotto, G., 2002. Continuum Models for Phase Transitions and Twinning in Crystals, Applied Mathematics, vol. 19. Chapman & Hall, London.
    • (2002) Applied Mathematics , vol.19
    • Pitteri, M.1    Zanzotto, G.2
  • 49
    • 0018297939 scopus 로고
    • Incremental approach to the solution of snapping and buckling problems
    • E. Riks Incremental approach to the solution of snapping and buckling problems Int. J. Solids Struct. 15 7 1979 529 551
    • (1979) Int. J. Solids Struct. , vol.15 , Issue.7 , pp. 529-551
    • Riks, E.1
  • 51
    • 18244418423 scopus 로고    scopus 로고
    • Constitutive response of polycrystalline shape memory alloys
    • A. Saxena, R. Ahluwalia, T. Lookman, and R.C. Albers Constitutive response of polycrystalline shape memory alloys Mater. Sci. Forum 426-432 3 2003 2255 2260
    • (2003) Mater. Sci. Forum , vol.426-432 , Issue.3 , pp. 2255-2260
    • Saxena, A.1    Ahluwalia, R.2    Lookman, T.3    Albers, R.C.4
  • 52
    • 0030171712 scopus 로고    scopus 로고
    • Molecular dynamics simulation of martensitic transformations in NiAl
    • Y. Shao, P.C. Clapp, and J.A. Rifkin Molecular dynamics simulation of martensitic transformations in NiAl Metall. Transact. 27A 6 1996 1477 1489
    • (1996) Metall. Transact. , vol.27 , Issue.6 , pp. 1477-1489
    • Shao, Y.1    Clapp, P.C.2    Rifkin, J.A.3
  • 53
    • 0037029057 scopus 로고    scopus 로고
    • A thermochemical model for a 1-D shape memory alloy wire with propagating instabilities
    • J.A. Shaw A thermochemical model for a 1-D shape memory alloy wire with propagating instabilities Int. J. Solids Struct. 39 5 2002 1275 1305
    • (2002) Int. J. Solids Struct. , vol.39 , Issue.5 , pp. 1275-1305
    • Shaw, J.A.1
  • 54
    • 0029359747 scopus 로고
    • Thermomechanical aspects of NiTi
    • J.A. Shaw, and S. Kyriakides Thermomechanical aspects of NiTi J. Mech. Phys. Solids 43 8 1995 1243 1281
    • (1995) J. Mech. Phys. Solids , vol.43 , Issue.8 , pp. 1243-1281
    • Shaw, J.A.1    Kyriakides, S.2
  • 55
    • 0031078592 scopus 로고    scopus 로고
    • On the nucleation and propagation of phase transformation fronts in a NiTi alloy
    • J.A. Shaw, and S. Kyriakides On the nucleation and propagation of phase transformation fronts in a NiTi alloy Acta Materialia 45 2 1997 683 700
    • (1997) Acta Materialia , vol.45 , Issue.2 , pp. 683-700
    • Shaw, J.A.1    Kyriakides, S.2
  • 57
    • 0008522866 scopus 로고
    • Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. i. derivation of general relations
    • Q.P. Sun, and K.C. Hwang Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. i. derivation of general relations J. Mech. Phys. Solids 41 1 1993 1 17
    • (1993) J. Mech. Phys. Solids , vol.41 , Issue.1 , pp. 1-17
    • Sun, Q.P.1    Hwang, K.C.2
  • 58
    • 0024716021 scopus 로고
    • Temperature-dependent interatomic forces
    • A.P. Sutton Temperature-dependent interatomic forces Philos. Mag. 60 2 1989 147 159
    • (1989) Philos. Mag. , vol.60 , Issue.2 , pp. 147-159
    • Sutton, A.P.1
  • 59
    • 0022610312 scopus 로고
    • Thermomechanical sketch of shape memory effect: One-dimensional tensile behavior
    • K. Tanaka Thermomechanical sketch of shape memory effect: one-dimensional tensile behavior Int. J. Struct. Mech. Mater. Sci. 18 3 1986 251 263
    • (1986) Int. J. Struct. Mech. Mater. Sci. , vol.18 , Issue.3 , pp. 251-263
    • Tanaka, K.1
  • 62
    • 0026623994 scopus 로고
    • On stability and the worst imperfection shape in solids with nearly simultaneous eigenmodes
    • N. Triantafyllidis, and R. Peek On stability and the worst imperfection shape in solids with nearly simultaneous eigenmodes Int. J. Solids Struct. 29 18 1992 2281 2299
    • (1992) Int. J. Solids Struct. , vol.29 , Issue.18 , pp. 2281-2299
    • Triantafyllidis, N.1    Peek, R.2
  • 63
    • 27844548990 scopus 로고    scopus 로고
    • US NRL Center for Computational Materials Science, 2004. Crystal lattice structures web page. http://cst-www.nrl.navy.mil/lattice/.
    • (2004)
  • 64
    • 0033284514 scopus 로고    scopus 로고
    • Dynamics of phase transformations and hysteresis in a viscoelastic ericksen's bar on an elastic foundation
    • A. Vainchtein Dynamics of phase transformations and hysteresis in a viscoelastic ericksen's bar on an elastic foundation J. Elasticity 57 3 1999 243 280
    • (1999) J. Elasticity , vol.57 , Issue.3 , pp. 243-280
    • Vainchtein, A.1
  • 66
    • 0024734655 scopus 로고
    • Growth dynamics study of the martensitic transformation in Fe-30 Pct Ni alloys. Part II. computer simulation of martensitic growth
    • Z.-Z. Yu, and P.C. Clapp Growth dynamics study of the martensitic transformation in Fe-30 Pct Ni alloys. Part II. computer simulation of martensitic growth Metall. Trans. 20A 9 1989 1617 1629
    • (1989) Metall. Trans. , vol.20 , Issue.9 , pp. 1617-1629
    • Yu, Z.-Z.1    Clapp, P.C.2
  • 67
    • 0000382795 scopus 로고    scopus 로고
    • An isotropic intermolecular potential with temperature dependent effective parameters for heavy globular gases
    • L. Zarkova An isotropic intermolecular potential with temperature dependent effective parameters for heavy globular gases Mol. Phys. 88 2 1996 489 495
    • (1996) Mol. Phys. , vol.88 , Issue.2 , pp. 489-495
    • Zarkova, L.1


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