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Volumn 16, Issue 4, 2000, Pages 309-324

Effect of microstructure on the hardening and softening behaviors of polycrystalline shape memory alloys. Part I: Micromechanics constitutive modeling

Author keywords

Hardening and softening; Microstructure; Phase transformation; Polycrystalline material; Shape memory alloys

Indexed keywords

COMPOSITE MICROMECHANICS; HARDENING; MATHEMATICAL MODELS; MICROSTRUCTURE; PHASE TRANSITIONS; SHAPE MEMORY EFFECT;

EID: 0034335167     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02487684     Document Type: Article
Times cited : (5)

References (62)
  • 1
    • 0016105797 scopus 로고
    • Review: Thermoelasticity, pseudoelasticity and memory effect associated with martensitic transformations
    • Delacy L, Krishnan RV, Tas H, et al. Review: Thermoelasticity, pseudoelasticity and memory effect associated with martensitic transformations. J Mat.Sci, 1974, 9: 1521-1555
    • (1974) J Mat.Sci , vol.9 , pp. 1521-1555
    • Delacy, L.1    Krishnan, R.V.2    Tas, H.3
  • 2
    • 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 Japan Inst Metals, 1974, 15: 103-108
    • (1974) Trans Japan Inst Metals , vol.15 , pp. 103-108
    • Otsuka, K.1    Shimizu, K.2
  • 3
    • 0020222757 scopus 로고
    • Stress-induced martensitic transformations and martensite-to martensite transformations
    • Aaronson HI, et al eds. Warrendale, PA, 1981. AIME
    • Otsuka K, Shimizu K. Stress-induced martensitic transformations and martensite-to martensite transformations. In: Aaronson HI, et al eds. Proceedings of an International Conference on Solid-Solid Phase Transformation, Warrendale, PA, 1981. AIME, 1982. 1267-1286
    • (1982) Proceedings of An International Conference on Solid-Solid Phase Transformation , pp. 1267-1286
    • Otsuka, K.1    Shimizu, K.2
  • 5
    • 0003492744 scopus 로고
    • New York: Gordon and Breach Science Publishers
    • Funakubo H. Shape Memory Alloys. New York: Gordon and Breach Science Publishers, 1987
    • (1987) Shape Memory Alloys
    • Funakubo, H.1
  • 7
    • 0028499547 scopus 로고
    • Crystallographic theories, interface structures, and transformation mechanisms
    • Christian JW. Crystallographic theories, interface structures, and transformation mechanisms. Metall and Mater Trans, 1995, 25A:1821-1839
    • (1995) Metall and Mater Trans , vol.25 A , pp. 1821-1839
    • Christian, J.W.1
  • 8
    • 0030173768 scopus 로고    scopus 로고
    • Transformation-induced plasticity (TRIP)
    • Fischer FD, Sun QP, Tanaka K. Transformation-induced plasticity (TRIP). Appl Mech Rev, 1996, 49: 317-364
    • (1996) Appl Mech Rev , vol.49 , pp. 317-364
    • Fischer, F.D.1    Sun, Q.P.2    Tanaka, K.3
  • 9
    • 0019284770 scopus 로고
    • Model free energy, mechanics and thermodynamics of shape memory alloys
    • Falk F. Model free energy, mechanics and thermodynamics of shape memory alloys. Acta Metall, 1980, 28: 1773-1780
    • (1980) Acta Metall , vol.28 , pp. 1773-1780
    • Falk, F.1
  • 10
    • 0007841693 scopus 로고
    • Ginzburg-Landau theory and solitary waves in shape memory alloys
    • Falk F. Ginzburg-Landau theory and solitary waves in shape memory alloys. Z Physik, 1984, 54B: 159-167
    • (1984) Z Physik , vol.54 B , pp. 159-167
    • Falk, F.1
  • 11
    • 0002434735 scopus 로고
    • Three-dimensional Landau theory describing the martensite phase transformation of shape memory alloys
    • Falk F, Konopka P. Three-dimensional Landau theory describing the martensite phase transformation of shape memory alloys. J Phys. Condens Matter, 1990, 2: 61-77
    • (1990) J Phys. Condens Matter , vol.2 , pp. 61-77
    • Falk, F.1    Konopka, P.2
  • 12
    • 0008544758 scopus 로고
    • Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys
    • Friedman A, Sprekels J. Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys. Continuum Mech Thermodyn, 1990, 2: 199-213
    • (1990) Continuum Mech Thermodyn , vol.2 , pp. 199-213
    • Friedman, A.1    Sprekels, J.2
  • 13
    • 0000666012 scopus 로고
    • Interfacial dynamics at a first-order phase transition involving strain: Dynamic twin formation
    • Bales GS, Gooding RJ. Interfacial dynamics at a first-order phase transition involving strain: dynamic twin formation. Phys Rev Lett, 1991, 67: 3412-3415
    • (1991) Phys Rev Lett , vol.67 , pp. 3412-3415
    • Bales, G.S.1    Gooding, R.J.2
  • 14
    • 0001265315 scopus 로고
    • Twin boundaries in ferroelastic media without interface dislocations
    • Barsch GR, Krumhansl JA. Twin boundaries in ferroelastic media without interface dislocations. Phys Rev Lett, 1984, 53: 1069-1072
    • (1984) Phys Rev Lett , vol.53 , pp. 1069-1072
    • Barsch, G.R.1    Krumhansl, J.A.2
  • 15
    • 0011760310 scopus 로고
    • Nonlinear physics in martensitic transformation
    • Olson GB and Owen NS eds. ASM International
    • Barsch GR, Krumhansl JA. Nonlinear physics in martensitic transformation. In: Olson GB and Owen NS eds. Martensite, A Tribute to Morris Cohen. ASM International, 1992. 125-147
    • (1992) Martensite, A Tribute to Morris Cohen , pp. 125-147
    • Barsch, G.R.1    Krumhansl, J.A.2
  • 16
    • 0028429021 scopus 로고
    • A numerical study of parameter sensitivities in Landau-Ginzburg models of phase transitions in shape memory alloys
    • Burns JA, Spies RD. A numerical study of parameter sensitivities in Landau-Ginzburg models of phase transitions in shape memory alloys. J Intell Mat Syst Struct, 1994, 5: 321-332
    • (1994) J Intell Mat Syst Struct , vol.5 , pp. 321-332
    • Burns, J.A.1    Spies, R.D.2
  • 17
    • 0022594411 scopus 로고
    • Displacive phase transformations in solids
    • James RD. Displacive phase transformations in solids. J Mech Phys Solids, 1986, 34: 359-394
    • (1986) J Mech Phys Solids , vol.34 , pp. 359-394
    • James, R.D.1
  • 18
    • 0027593763 scopus 로고
    • Construction of two-phase equilibria in non-elliptic hyperelastic material
    • Fried E. Construction of two-phase equilibria in non-elliptic hyperelastic material. J of Elasticity, 1993, 31: 71-123
    • (1993) J of Elasticity , vol.31 , pp. 71-123
    • Fried, E.1
  • 19
    • 0027632086 scopus 로고
    • A continuum model for phase transformation in thermoelastic solids
    • Jiang Q. A continuum model for phase transformation in thermoelastic solids. J of Elasticity, 1993, 32: 61-91
    • (1993) J of Elasticity , vol.32 , pp. 61-91
    • Jiang, Q.1
  • 20
    • 0027553650 scopus 로고
    • A continuum model of a thermoelastic solid capable of undergoing phase transition
    • Abeyaratne R, Knowles JK. A continuum model of a thermoelastic solid capable of undergoing phase transition. J Mech Phys Solids, 1993, 41: 541-574
    • (1993) J Mech Phys Solids , vol.41 , pp. 541-574
    • Abeyaratne, R.1    Knowles, J.K.2
  • 21
    • 0000313606 scopus 로고
    • A one-dimensional continuum model for shape memory alloys
    • Abeyaratne R, Kim SJ, Knowles JK. A one-dimensional continuum model for shape memory alloys. Int J Solids Struct, 1994, 31: 2229-2250
    • (1994) Int J Solids Struct , vol.31 , pp. 2229-2250
    • Abeyaratne, R.1    Kim, S.J.2    Knowles, J.K.3
  • 22
    • 0022610312 scopus 로고
    • A thermomechanical sketch of shape memory effect, one dimensional tensile behavior
    • Tanaka K. A thermomechanical sketch of shape memory effect, one dimensional tensile behavior. Res Mech, 1986, 18: 251-263
    • (1986) Res Mech , vol.18 , pp. 251-263
    • Tanaka, K.1
  • 23
    • 84970324985 scopus 로고
    • One dimensional thermomechanical constitutive relations for shape memory materials
    • Liang C, Rogers CA. One dimensional thermomechanical constitutive relations for shape memory materials. J Intell Mater Syst Struct, 1990, 1: 207-234
    • (1990) J Intell Mater Syst Struct , vol.1 , pp. 207-234
    • Liang, C.1    Rogers, C.A.2
  • 24
    • 0038219487 scopus 로고
    • Modelling of two-way memory effect
    • Zhang XD, Rogers CA, Liang C. Modelling of two-way memory effect. Philos Mag, 1992, 65A: 1199-1215
    • (1992) Philos Mag , vol.65 A , pp. 1199-1215
    • Zhang, X.D.1    Rogers, C.A.2    Liang, C.3
  • 25
    • 0027848095 scopus 로고
    • Finite element analysis of the behavior of shape memory alloys and their application
    • Brinson LC, Lammering R. Finite element analysis of the behavior of shape memory alloys and their application. Int J Solids Struct, 1993, 30: 3261-3280
    • (1993) Int J Solids Struct , vol.30 , pp. 3261-3280
    • Brinson, L.C.1    Lammering, R.2
  • 26
    • 0031167272 scopus 로고    scopus 로고
    • Temperature-induced phase transformation in a shape memory alloy: Phase diagram based kinetics approach
    • Bekker A, Brinson LC. Temperature-induced phase transformation in a shape memory alloy: phase diagram based kinetics approach. J Mech Phys Solids, 1997, 45: 949-988
    • (1997) J Mech Phys Solids , vol.45 , pp. 949-988
    • Bekker, A.1    Brinson, L.C.2
  • 27
    • 0000236809 scopus 로고
    • Thermomechanical behavior of shape memory alloys
    • Patoor E, Eberhardt A, Berveiller M. Thermomechanical behavior of shape memory alloys. -Arch Mech, 1988, 40: 775-794
    • (1988) Arch Mech , vol.40 , pp. 775-794
    • Patoor, E.1    Eberhardt, A.2    Berveiller, M.3
  • 29
    • 0008522866 scopus 로고
    • Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys, I: Derivation of general relations. II: Study of the individual phenomena
    • Sun QP, Hwang KG. Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys, I: Derivation of general relations. II: Study of the individual phenomena. J Mech Phys Solids, 1993, 41: 1-17, 19-33
    • (1993) J Mech Phys Solids , vol.41 , pp. 1-17
    • Sun, Q.P.1    Hwang, K.G.2
  • 30
    • 77956798525 scopus 로고
    • Micromechanics constitutive description of thermoelastic martensitic transformation
    • Hutchison JW and Wu TY eds. New York: Academic Press
    • Sun QP, Hwang KG. Micromechanics constitutive description of thermoelastic martensitic transformation. In: Hutchison JW and Wu TY eds. Advances in Applied Mechanics, Vol. 31. New York: Academic Press, 1994. 249-298
    • (1994) Advances in Applied Mechanics , vol.31 , pp. 249-298
    • Sun, Q.P.1    Hwang, K.G.2
  • 31
    • 0002332456 scopus 로고
    • L-models of pseudoelasticity and their specification for some shape memory solids
    • L-models of pseudoelasticity and their specification for some shape memory solids. Eur J Mech, 1994, 13A: 21-33
    • (1994) Eur J Mech , vol.13 A , pp. 21-33
    • Raniecki, B.1    Lexcellent, C.2
  • 32
    • 0030401617 scopus 로고    scopus 로고
    • A thermodynamical constitutive model for shape memory materials, -Part 1: The monolithic shape memory alloy
    • Boyd JG, Logoudas DC. A thermodynamical constitutive model for shape memory materials, -Part 1: The monolithic shape memory alloy. Int J Plasticity, 1996, 12: 805-842
    • (1996) Int J Plasticity , vol.12 , pp. 805-842
    • Boyd, J.G.1    Logoudas, D.C.2
  • 33
    • 0031277219 scopus 로고    scopus 로고
    • Martensitic transformation and stress-strain relations of shape memory alloys
    • Lu ZK, Weng G. Martensitic transformation and stress-strain relations of shape memory alloys. J Mech Phys Solids, 1997, 45: 1905-1928
    • (1997) J Mech Phys Solids , vol.45 , pp. 1905-1928
    • Lu, Z.K.1    Weng, G.2
  • 34
    • 0032158231 scopus 로고    scopus 로고
    • A self-consistent model for the stress strain behavior of shape memory alloy polycrystals
    • Lu ZK, Weng G. A self-consistent model for the stress strain behavior of shape memory alloy polycrystals. Acta Mater, 1998, 46: 5423-5433
    • (1998) Acta Mater , vol.46 , pp. 5423-5433
    • Lu, Z.K.1    Weng, G.2
  • 35
    • 0342927361 scopus 로고    scopus 로고
    • A generalized micromechanics constitutive theory of single crystal with thermoelastic martensitic transformation
    • Yan WY, Sun QP, Hwang KC. A generalized micromechanics constitutive theory of single crystal with thermoelastic martensitic transformation. Science in China, 1998, 41A: 878-886
    • (1998) Science in China , vol.41 A , pp. 878-886
    • Yan, W.Y.1    Sun, Q.P.2    Hwang, K.C.3
  • 36
    • 0032140897 scopus 로고    scopus 로고
    • A multivariants model for single crystal shape memory alloy behavior
    • Huang MS, Brinson LC. A multivariants model for single crystal shape memory alloy behavior. J Mech Phys Solids, 1998, 46: 1379-1409
    • (1998) J Mech Phys Solids , vol.46 , pp. 1379-1409
    • Huang, M.S.1    Brinson, L.C.2
  • 37
    • 0032678039 scopus 로고    scopus 로고
    • Constitutive equations for polycrystalline thermoelastic shape memory alloys. I. Intragranular interactions and behavior of grain
    • Siredey N, Patoor E, Berveiller M, et al. Constitutive equations for polycrystalline thermoelastic shape memory alloys. I. Intragranular interactions and behavior of grain. Int J of Solids Struct, 1999, 36: 4289-4315
    • (1999) Int J of Solids Struct , vol.36 , pp. 4289-4315
    • Siredey, N.1    Patoor, E.2    Berveiller, M.3
  • 38
    • 0028494680 scopus 로고
    • Pseudoelastic behaviour of TiNi shape memory alloy subjected to strain variations
    • Lin PH, Tobushi H, Tanaka K, et al. Pseudoelastic behaviour of TiNi shape memory alloy subjected to strain variations. J Intell Mater Syst Struct, 1994, 5: 694-701
    • (1994) J Intell Mater Syst Struct , vol.5 , pp. 694-701
    • Lin, P.H.1    Tobushi, H.2    Tanaka, K.3
  • 39
    • 0029734488 scopus 로고    scopus 로고
    • Deformation properties of TiNi shape memory alloy
    • Lin PH, Tobushi H, Tanaka K, et al. Deformation properties of TiNi shape memory alloy. JSME International Journal, 1996, 39A: 108-116
    • (1996) JSME International Journal , vol.39 A , pp. 108-116
    • Lin, P.H.1    Tobushi, H.2    Tanaka, K.3
  • 40
    • 0029359747 scopus 로고
    • Thermomechanical aspects of NiTi
    • Shaw JA, Kyriakides S. Thermomechanical aspects of NiTi. J Mech Phys Solids, 1995, 43: 1243-1281
    • (1995) J Mech Phys Solids , vol.43 , pp. 1243-1281
    • Shaw, J.A.1    Kyriakides, S.2
  • 41
    • 0031078592 scopus 로고    scopus 로고
    • On the nucleation and propagation of phase transformation fronts in a NiTi alloy
    • Shaw JA, Kyriakides S. On the nucleation and propagation of phase transformation fronts in a NiTi alloy. Acta Mater, 1997, 45: 683-700
    • (1997) Acta Mater , vol.45 , pp. 683-700
    • Shaw, J.A.1    Kyriakides, S.2
  • 42
    • 0031361048 scopus 로고    scopus 로고
    • Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension
    • Shaw JA, Kyriakides S. Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension. Int J Plasticity, 1998, 13: 837-871
    • (1998) Int J Plasticity , vol.13 , pp. 837-871
    • Shaw, J.A.1    Kyriakides, S.2
  • 43
    • 33745543299 scopus 로고    scopus 로고
    • Micromechanics constitutive modeling for polycrystalline SMA
    • Argoul P et al eds. Paris, France, 22-25, April, 1997. Dordrecht: Kluwer Academic Publisher
    • Song GQ, Sun QP, Hwang KG. Micromechanics constitutive modeling for polycrystalline SMA. In: Argoul P et al eds. IUTAM Symposium on Variations of Domain and Free Boundary Problems in Solid Mechanics. Paris, France, 22-25, April, 1997. Dordrecht: Kluwer Academic Publisher, 1999. 25-33
    • (1999) IUTAM Symposium on Variations of Domain and Free Boundary Problems in Solid Mechanics , pp. 25-33
    • Song, G.Q.1    Sun, Q.P.2    Hwang, K.G.3
  • 44
    • 0027642312 scopus 로고
    • Transient heat transfer effects on the pseudoelastic behavior of -shape memory wires
    • Leo PH, Shield TW, Bruno OP. Transient heat transfer effects on the pseudoelastic behavior of -shape memory wires. Acta Metall Mater, 1993, 41: 2477-2485
    • (1993) Acta Metall Mater , vol.41 , pp. 2477-2485
    • Leo, P.H.1    Shield, T.W.2    Bruno, O.P.3
  • 46
    • 0000100314 scopus 로고
    • Free boundary conditions at austenite-martensite interface
    • Bruno OP, Leo PH, Reitich F. Free boundary conditions at austenite-martensite interface. Phys -Rev Lett, 1995, 74: 746-749
    • (1995) Phys -Rev Lett , vol.74 , pp. 746-749
    • Bruno, O.P.1    Leo, P.H.2    Reitich, F.3
  • 47
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • Ball JM, James RD. Fine phase mixtures as minimizers of energy. Arch Rat Mech Anal, 1987, 100: 13-52
    • (1987) Arch Rat Mech Anal , vol.100 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 48
    • 0345406326 scopus 로고
    • Self-accommodation in martensite
    • Bhattacharya K. Self-accommodation in martensite. Arch Rat Mech Anal, 1992, 120: 201-244
    • (1992) Arch Rat Mech Anal , vol.120 , pp. 201-244
    • Bhattacharya, K.1
  • 51
    • 0343715588 scopus 로고    scopus 로고
    • On the non-invariant plane model of the A-M interface in CuAINi single crystal shape memory alloys
    • Zhang XY, Sun QP, Yu SW. On the non-invariant plane model of the A-M interface in CuAINi single crystal shape memory alloys. J Mech Phys Solids, 2000, 48: 2163-2182
    • (2000) J Mech Phys Solids , vol.48 , pp. 2163-2182
    • Zhang, X.Y.1    Sun, Q.P.2    Yu, S.W.3
  • 54
    • 0026128956 scopus 로고
    • On the pseudoelastic hysteresis
    • Muller I, Xu H. On the pseudoelastic hysteresis. Acta Metall Mater, 1991, 39: 263-271
    • (1991) Acta Metall Mater , vol.39 , pp. 263-271
    • Muller, I.1    Xu, H.2
  • 55
    • 0001209173 scopus 로고
    • Dislocation theory of martensitic transformations
    • Nabarro FRN ed. North-Holland: Elsevier Science Publishers
    • Olson GB, Cohen M. Dislocation theory of martensitic transformations. In: Nabarro FRN ed. Dislocation in Solids. North-Holland: Elsevier Science Publishers, 1986. 295-407
    • (1986) Dislocation in Solids , pp. 295-407
    • Olson, G.B.1    Cohen, M.2
  • 57
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall, 1973, 21: 571-574
    • (1973) Acta Metall , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 59
    • 0023360657 scopus 로고
    • A new approach to the application of Mori-Tanaka theory in composite materials
    • Benveniste Y. A new approach to the application of Mori-Tanaka theory in composite materials. Mech Mat, 1987, 6: 147-157
    • (1987) Mech Mat , vol.6 , pp. 147-157
    • Benveniste, Y.1
  • 61
    • 0028748952 scopus 로고
    • On the thermodynamic driving force for coherent phase transformations
    • Raniecki B, Tanaka K. On the thermodynamic driving force for coherent phase transformations. Int J Engng Sci, 1994, 32: 1845-1858
    • (1994) Int J Engng Sci , vol.32 , pp. 1845-1858
    • Raniecki, B.1    Tanaka, K.2
  • 62
    • 33745552156 scopus 로고
    • On the general stress controlled thermoelastic martensitic transformation
    • Sittner P, Hara Y, Takakura M, et al. On the general stress controlled thermoelastic martensitic transformation. Res Rep Fac Eng Mie Univ, 1994, 19: 19-24
    • (1994) Res Rep Fac Eng Mie Univ , vol.19 , pp. 19-24
    • Sittner, P.1    Hara, Y.2    Takakura, M.3


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