-
1
-
-
0035941056
-
A multi-variant martensitic phase transformation model: Formulation and numerical implementation
-
Govindjee S, Miehe C. A multi-variant martensitic phase transformation model: formulation and numerical implementation. Computer Methods in Applied Mechanics and Engineering 2001; 191(3-5):215-238.
-
(2001)
Computer Methods in Applied Mechanics and Engineering
, vol.191
, Issue.3-5
, pp. 215-238
-
-
Govindjee, S.1
Miehe, C.2
-
2
-
-
34250796422
-
Theory and finite element computations of a unified cyclic phase transformation model for monocrystalline materials at small strain
-
Stein E, Zwickert O. Theory and finite element computations of a unified cyclic phase transformation model for monocrystalline materials at small strain. Computational Mechanics 2007; 40(3):429-445.
-
(2007)
Computational Mechanics
, vol.40
, Issue.3
, pp. 429-445
-
-
Stein, E.1
Zwickert, O.2
-
3
-
-
33744832635
-
The free energy of mixing for n-variant martensitic phase transformations using quasi-convex analysis
-
Govindjee S, Mielke A, Hall GJ. The free energy of mixing for n-variant martensitic phase transformations using quasi-convex analysis. Journal of the Mechanics and Physics of Solids 2003; 51(4):I-XXVI.
-
(2003)
Journal of the Mechanics and Physics of Solids
, vol.51
, Issue.4
-
-
Govindjee, S.1
Mielke, A.2
Hall, G.J.3
-
4
-
-
0000939341
-
Micromechanical modelling of superelasticity in shape memory alloys
-
Patoor E, Eberhardt A, Berveiller M. Micromechanical modelling of superelasticity in shape memory alloys. Journal de Physique 1995; IV(C8-5):277-292.
-
(1995)
Journal de Physique
, vol.4
, Issue.C8-5
, pp. 277-292
-
-
Patoor, E.1
Eberhardt, A.2
Berveiller, M.3
-
7
-
-
41449107544
-
-
Müller S. Variational model for microstructure and phase transitions (Lecture Notes No. 2, Max Planck Institut für Math, Leipzig, 1998). In Calculus of Variations and Geometric Evolution Problems, Hildebrandt S et al. (eds). Lecture Notes in Mathematica, 1713. 1999; 85-210.
-
Müller S. Variational model for microstructure and phase transitions (Lecture Notes No. 2, Max Planck Institut für Math, Leipzig, 1998). In Calculus of Variations and Geometric Evolution Problems, Hildebrandt S et al. (eds). Lecture Notes in Mathematica, vol. 1713. 1999; 85-210.
-
-
-
-
8
-
-
0031988608
-
A phenomenological model of twinning based on dual reference structure
-
Srinivas AR, Rajgopal KR, Armstrong KR. A phenomenological model of twinning based on dual reference structure. Acta Materialia 1998; 46(338):1235-1248.
-
(1998)
Acta Materialia
, vol.46
, Issue.338
, pp. 1235-1248
-
-
Srinivas, A.R.1
Rajgopal, K.R.2
Armstrong, K.R.3
-
10
-
-
0031240687
-
Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials
-
Bhattacharya K, Kohn RV. Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Archive for Rational Mechanics and Analysis 1997; 139:99-180.
-
(1997)
Archive for Rational Mechanics and Analysis
, vol.139
, pp. 99-180
-
-
Bhattacharya, K.1
Kohn, R.V.2
-
11
-
-
0031277219
-
Martensitic transformation and stress-strain relations of shape-memory alloys
-
Lu ZK, weng GJ. Martensitic transformation and stress-strain relations of shape-memory alloys. Journal of the Mechanics and Physics of Solids 1997; 45(11):1905-1928.
-
(1997)
Journal of the Mechanics and Physics of Solids
, vol.45
, Issue.11
, pp. 1905-1928
-
-
Lu, Z.K.1
weng, G.J.2
-
12
-
-
0030079789
-
Modelling the mechanical behavior of shape memory alloys under variant coalescence
-
Marketz F, Fischer FD. Modelling the mechanical behavior of shape memory alloys under variant coalescence. Computational Materials Science 1996; 5(1):210-226.
-
(1996)
Computational Materials Science
, vol.5
, Issue.1
, pp. 210-226
-
-
Marketz, F.1
Fischer, F.D.2
-
15
-
-
0019284770
-
Model free energy, mechanics, and thermodynamics of shape memory alloys
-
Falk F. Model free energy, mechanics, and thermodynamics of shape memory alloys. Acta Metallurgica 1980; 28:1773-1780.
-
(1980)
Acta Metallurgica
, vol.28
, pp. 1773-1780
-
-
Falk, F.1
-
16
-
-
0000385458
-
Ginzburg-Landau theory of static domain walls in shape memory alloys
-
Falk F. Ginzburg-Landau theory of static domain walls in shape memory alloys. Zeitschrift für Physik B: Condensed Matter 1983; 2:61-77.
-
(1983)
Zeitschrift für Physik B: Condensed Matter
, vol.2
, pp. 61-77
-
-
Falk, F.1
-
17
-
-
0023365187
-
Driven domain walls in shape-memory alloys
-
Falk F. Driven domain walls in shape-memory alloys. Journal of Physics C: Solid State Physics 1987; 20: 2501-2509.
-
(1987)
Journal of Physics C: Solid State Physics
, vol.20
, pp. 2501-2509
-
-
Falk, F.1
-
18
-
-
0024866033
-
Pseudoelastic stress-strain curves of polycrystalline shape-memory alloys calculated from single crystal data
-
Falk F. Pseudoelastic stress-strain curves of polycrystalline shape-memory alloys calculated from single crystal data. International Journal of Engineering Science 1989; 27:277-284.
-
(1989)
International Journal of Engineering Science
, vol.27
, pp. 277-284
-
-
Falk, F.1
-
19
-
-
0026940467
-
Landau models for structural phase transitions: Are soft models needed?
-
Krumhansl J. Landau models for structural phase transitions: are soft models needed? Solid State Communications 1992; 84:251-254.
-
(1992)
Solid State Communications
, vol.84
, pp. 251-254
-
-
Krumhansl, J.1
-
20
-
-
0141925268
-
Theory, modeling of martensitic transformation
-
Lindgrad P. Theory, modeling of martensitic transformation. Journal de Physique IV 1991; C4:3-12.
-
(1991)
Journal de Physique IV
, vol.C4
, pp. 3-12
-
-
Lindgrad, P.1
-
21
-
-
0031221863
-
Cyclic effects in shape-memory alloys: A one-dimensional continuum model
-
Abeyaratne R, Kim S. Cyclic effects in shape-memory alloys: a one-dimensional continuum model. International Journal of Solids and Structures 1997; 34:3273-3289.
-
(1997)
International Journal of Solids and Structures
, vol.34
, pp. 3273-3289
-
-
Abeyaratne, R.1
Kim, S.2
-
23
-
-
0000296207
-
On the driving traction acting on a surface of strain discontinuity in a continuum
-
Abeyaratne R, Knowels J. On the driving traction acting on a surface of strain discontinuity in a continuum. Journal of the Mechanics and Physics of Solids 1990; 38:345-360.
-
(1990)
Journal of the Mechanics and Physics of Solids
, vol.38
, pp. 345-360
-
-
Abeyaratne, R.1
Knowels, J.2
-
24
-
-
0027553650
-
A continuum model of thermoelastic solid capable of undergoing phase transitions
-
Abeyaratne R, Knowels J. A continuum model of thermoelastic solid capable of undergoing phase transitions. Journal of the Mechanics and Physics of Solids 1993; 41:541-571.
-
(1993)
Journal of the Mechanics and Physics of Solids
, vol.41
, pp. 541-571
-
-
Abeyaratne, R.1
Knowels, J.2
-
25
-
-
41449110776
-
A micromechanical inspired constitutive model for shape-memory alloys: The one-dimensional case
-
preprint
-
Sadjapour A, Bhattacharya K. A micromechanical inspired constitutive model for shape-memory alloys: the one-dimensional case. Smart Material and Structures 2006, preprint.
-
(2006)
Smart Material and Structures
-
-
Sadjapour, A.1
Bhattacharya, K.2
-
28
-
-
0032678039
-
Constitutive equations for polycrystalline thermoelastic shape memory alloys. Part I: Intergranular interactions and behavior of the grain
-
Siredey N, Patoor E, Berveiller M, Eberhardt A. Constitutive equations for polycrystalline thermoelastic shape memory alloys. Part I: intergranular interactions and behavior of the grain. International Journal of Solids and Structures 1999; 36:4289-4315.
-
(1999)
International Journal of Solids and Structures
, vol.36
, pp. 4289-4315
-
-
Siredey, N.1
Patoor, E.2
Berveiller, M.3
Eberhardt, A.4
-
29
-
-
0011418935
-
Micromechanical modelling of the superelasticity behavior of materials undergoing thermoelastic phase transition
-
Entemeyer D, Patoor E, Eberhardt A, Berveiller M. Micromechanical modelling of the superelasticity behavior of materials undergoing thermoelastic phase transition. Journal de Physique 1995; IV(C8-5):233-238.
-
(1995)
Journal de Physique
, vol.4
, Issue.C8-5
, pp. 233-238
-
-
Entemeyer, D.1
Patoor, E.2
Eberhardt, A.3
Berveiller, M.4
-
30
-
-
0031075675
-
Micromechanics-based modeling of two-way memory effect of a single crystalline shape-memory alloys
-
Goo B, Lexcellent C. Micromechanics-based modeling of two-way memory effect of a single crystalline shape-memory alloys. Acta Materilia 1997; 45:727-737.
-
(1997)
Acta Materilia
, vol.45
, pp. 727-737
-
-
Goo, B.1
Lexcellent, C.2
-
31
-
-
0030243794
-
Characterization, thermomechanical behavior and micromechanical-based constitutive model of shape memory Cu-Zn-Al single crystal
-
Lexcellent C, Goo B, Sun Q, Bernardini J. Characterization, thermomechanical behavior and micromechanical-based constitutive model of shape memory Cu-Zn-Al single crystal. Acta Materilia 1996; 44:3773-3780.
-
(1996)
Acta Materilia
, vol.44
, pp. 3773-3780
-
-
Lexcellent, C.1
Goo, B.2
Sun, Q.3
Bernardini, J.4
-
32
-
-
0032302269
-
Micromechanical modeling for tension-compression pseudoelastic behavior of AuCd single crystal
-
Vivet A, Lexcellent C. Micromechanical modeling for tension-compression pseudoelastic behavior of AuCd single crystal. The European Physical Journal: Applied Physics 1998; 4:125-132.
-
(1998)
The European Physical Journal: Applied Physics
, vol.4
, pp. 125-132
-
-
Vivet, A.1
Lexcellent, C.2
-
33
-
-
0030401617
-
A thermodynamical constitutive model for the shape-memory materials. Part I. The monolithic shape-memory alloy
-
Boyd J, Lagoudas D. A thermodynamical constitutive model for the shape-memory materials. Part I. The monolithic shape-memory alloy. International Journal of Plasticity 1996; 12:805-842.
-
(1996)
International Journal of Plasticity
, vol.12
, pp. 805-842
-
-
Boyd, J.1
Lagoudas, D.2
-
34
-
-
0030381719
-
A thermodynamical constitutive model for the shape-memory materials. Part II. The SMA composite materials
-
Boyd J, Lagoudas D. A thermodynamical constitutive model for the shape-memory materials. Part II. The SMA composite materials. International Journal of Plasticity 1996; 12:843-873.
-
(1996)
International Journal of Plasticity
, vol.12
, pp. 843-873
-
-
Boyd, J.1
Lagoudas, D.2
-
35
-
-
0032624211
-
Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part I: Theoretical derivations
-
Bo Z, Lagoudas D. Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part I: theoretical derivations. International Journal of Engineering Science 1999; 37:1089-1140.
-
(1999)
International Journal of Engineering Science
, vol.37
, pp. 1089-1140
-
-
Bo, Z.1
Lagoudas, D.2
-
36
-
-
0032628288
-
Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part III: Evolution of plastic strain and two-way shape memory effect
-
Bo Z, Lagoudas D. Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part III: evolution of plastic strain and two-way shape memory effect. International Journal of Engineering Science 1999; 37: 1175-1203.
-
(1999)
International Journal of Engineering Science
, vol.37
, pp. 1175-1203
-
-
Bo, Z.1
Lagoudas, D.2
-
37
-
-
0032673993
-
Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part IV: Modeling of minor hysteresis loops
-
Bo Z, Lagoudas D. Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part IV: modeling of minor hysteresis loops. International Journal of Engineering Science 1999; 37:1205-1249.
-
(1999)
International Journal of Engineering Science
, vol.37
, pp. 1205-1249
-
-
Bo, Z.1
Lagoudas, D.2
-
38
-
-
0032674536
-
Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part II: Material characterization and experimental results for a stable transformation cycle
-
Bo Z, Lagoudas D. Thermodynamical modeling of polycrystalline SMAs under cyclic loading. Part II: material characterization and experimental results for a stable transformation cycle. International Journal of Engineering Science 1999; 37:1141-1173.
-
(1999)
International Journal of Engineering Science
, vol.37
, pp. 1141-1173
-
-
Bo, Z.1
Lagoudas, D.2
-
40
-
-
0034742587
-
A robust integration algorithm for a finite-strain shape-memory-alloy superelastic model
-
Auricchio F. A robust integration algorithm for a finite-strain shape-memory-alloy superelastic model. International Journal of Plasticity 2001; 17:971-990.
-
(2001)
International Journal of Plasticity
, vol.17
, pp. 971-990
-
-
Auricchio, F.1
-
42
-
-
34347401563
-
Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation
-
Roubicek T, Kruzik M. Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. GAMM Mitteilungen 2006; 29(2):192-214.
-
(2006)
GAMM Mitteilungen
, vol.29
, Issue.2
, pp. 192-214
-
-
Roubicek, T.1
Kruzik, M.2
-
43
-
-
33847755457
-
Numerical simulation of martensitic phase transitions in shape memory alloys using an improved integration algorithm
-
Helm D. Numerical simulation of martensitic phase transitions in shape memory alloys using an improved integration algorithm. International Journal for Numerical Methods in Engineering 2007; 69:1997-2035.
-
(2007)
International Journal for Numerical Methods in Engineering
, vol.69
, pp. 1997-2035
-
-
Helm, D.1
-
44
-
-
34548554698
-
Thermomechanics of martensitic phase transitions in shape memory alloys I. Constitutive theories for small and large deformations
-
Helm D. Thermomechanics of martensitic phase transitions in shape memory alloys I. Constitutive theories for small and large deformations. Journal of Mechanics and Structure 2007; 2(1):87-112.
-
(2007)
Journal of Mechanics and Structure
, vol.2
, Issue.1
, pp. 87-112
-
-
Helm, D.1
-
46
-
-
0031126082
-
Shape memory alloys: Modelling and numerical simulations of the finite strain superelastic behavior
-
Auricchio F, Taylor R. Shape memory alloys: modelling and numerical simulations of the finite strain superelastic behavior. Computer Methods in Applied Mechanics and Engineering 1997; 143:175-194.
-
(1997)
Computer Methods in Applied Mechanics and Engineering
, vol.143
, pp. 175-194
-
-
Auricchio, F.1
Taylor, R.2
-
47
-
-
0022157732
-
Pseudoelasticity, shape memory affect associated with stress-induced martensitic transformation: A thermomechanical approach
-
Soto Y, Kobayashi S, Tanaka K. Pseudoelasticity, shape memory affect associated with stress-induced martensitic transformation: a thermomechanical approach. Japanese Aerospace Science and Technology 1985; 28:150-160.
-
(1985)
Japanese Aerospace Science and Technology
, vol.28
, pp. 150-160
-
-
Soto, Y.1
Kobayashi, S.2
Tanaka, K.3
-
48
-
-
0022610312
-
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 Mechanica 1986; 18:251-263.
-
(1986)
Res Mechanica
, vol.18
, pp. 251-263
-
-
Tanaka, K.1
-
50
-
-
0006746170
-
A new form of the coherency energy in pseudoelasticity
-
Achenbach M, Müller I. A new form of the coherency energy in pseudoelasticity. Meccanica 1995; 30:467-474.
-
(1995)
Meccanica
, vol.30
, pp. 467-474
-
-
Achenbach, M.1
Müller, I.2
-
52
-
-
0031099403
-
Nonlinear finite element simulation of superelastic shape-memory alloy parts
-
Trochu F, Qian Y. Nonlinear finite element simulation of superelastic shape-memory alloy parts. Computers and Structures 1997; 62:799-810.
-
(1997)
Computers and Structures
, vol.62
, pp. 799-810
-
-
Trochu, F.1
Qian, Y.2
-
53
-
-
0032154817
-
Three-dimensional model for solids undergoing stress-induced phase transformations
-
Souza A, Mamiya E, Zouain N. Three-dimensional model for solids undergoing stress-induced phase transformations. European Journal of Mechanics - A/Solids 1998; 17:789-806.
-
(1998)
European Journal of Mechanics - A/Solids
, vol.17
, pp. 789-806
-
-
Souza, A.1
Mamiya, E.2
Zouain, N.3
-
54
-
-
20744453715
-
Three-dimensional Landau theory for multivariant stress-induces martensitic phase transformations. I. Austenaite ↔ Martensite
-
Levitas VI, Preston DL. Three-dimensional Landau theory for multivariant stress-induces martensitic phase transformations. I. Austenaite ↔ Martensite. Physical Review B 2002; 66:1-9.
-
(2002)
Physical Review B
, vol.66
, pp. 1-9
-
-
Levitas, V.I.1
Preston, D.L.2
-
55
-
-
41449106568
-
Three-dimensional Landau theory for multivariant stress-induces martensitic phase transformations. I. Muttivariant phase transformation and stress space analysis
-
Levitas VI, Preston DL. Three-dimensional Landau theory for multivariant stress-induces martensitic phase transformations. I. Muttivariant phase transformation and stress space analysis. Physical Review B 2002; 66: 1-14.
-
(2002)
Physical Review B
, vol.66
, pp. 1-14
-
-
Levitas, V.I.1
Preston, D.L.2
-
57
-
-
0032632623
-
Elastoplastic materials with martensitic phase transition and twinning at finite strains: Numerical solution with the finite element method
-
Idesman AV, Levitas VI. Stein E. Elastoplastic materials with martensitic phase transition and twinning at finite strains: numerical solution with the finite element method. Computer Methods in Applied Mechanics and Engineering 1999; 173:71-98.
-
(1999)
Computer Methods in Applied Mechanics and Engineering
, vol.173
, pp. 71-98
-
-
Idesman, A.V.1
Levitas, V.I.2
Stein, E.3
-
59
-
-
30244525085
-
Phase transition in inelastic materials at finite strain: A local description
-
Levitas VI. Phase transition in inelastic materials at finite strain: a local description. Journal de Physique, Colloque Cl Supplement 1996; III-IV(6):55-94.
-
(1996)
Journal de Physique, Colloque Cl Supplement
, vol.III-IV
, Issue.6
, pp. 55-94
-
-
Levitas, V.I.1
-
60
-
-
41449103440
-
On the necessity of modeling SMA in range of large deformations
-
Berlin
-
Christ D, Reese S. On the necessity of modeling SMA in range of large deformations. Proceedings of the GAMM, Berlin 2006; 206-211.
-
(2006)
Proceedings of the GAMM
, pp. 206-211
-
-
Christ, D.1
Reese, S.2
-
61
-
-
0032019122
-
Thermomechanical theory of martensite phase transformations in inelastic materials
-
Levitas VI. Thermomechanical theory of martensite phase transformations in inelastic materials. International Journal of Solids and Structures 1998; 35(9-10):889-940.
-
(1998)
International Journal of Solids and Structures
, vol.35
, Issue.9-10
, pp. 889-940
-
-
Levitas, V.I.1
-
62
-
-
0042312605
-
Application of the relaxed free energy of mixing to problems in shape memory alloy simulation
-
Hall GJ, Govindjee S. Application of the relaxed free energy of mixing to problems in shape memory alloy simulation. Journal of Intelligent Material Systems and Structures 2002; 13(12):773-782.
-
(2002)
Journal of Intelligent Material Systems and Structures
, vol.13
, Issue.12
, pp. 773-782
-
-
Hall, G.J.1
Govindjee, S.2
-
65
-
-
41449107161
-
-
Murat F, Tartar L. Personal communication to R. V. Kohn, 1989, see also cf. Kohn RV. The relaxation of a double-wall problem. Continuum Mechanics and Thermodynamics 1991; 3:193-236.
-
Murat F, Tartar L. Personal communication to R. V. Kohn, 1989, see also cf. Kohn RV. The relaxation of a double-wall problem. Continuum Mechanics and Thermodynamics 1991; 3:193-236.
-
-
-
-
66
-
-
84974050752
-
H-measures a new approach for studying homogenization, oscillations, and concentration effect in partial differential equations
-
Tartar L. H-measures a new approach for studying homogenization, oscillations, and concentration effect in partial differential equations. Proceedings of the Royal Society of Edinburgh Section A 1990; 115:193-230.
-
(1990)
Proceedings of the Royal Society of Edinburgh Section A
, vol.115
, pp. 193-230
-
-
Tartar, L.1
-
69
-
-
0023964056
-
A framework of finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part 1. Continuum formulation
-
Simo JC. A framework of finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part 1. Continuum formulation. Computer Methods in Applied Mechanics and Engineering 1998; 66:199-219.
-
(1998)
Computer Methods in Applied Mechanics and Engineering
, vol.66
, pp. 199-219
-
-
Simo, J.C.1
-
70
-
-
41449094737
-
-
Sagar G, Stein E. Implementation of a non-linear elastic material model with a free energy function in Abaqus 6.4 via UMAT. 18. Deutschsprachige ABAQUS Benutzerkonferenz 2006; 2.12:15.
-
Sagar G, Stein E. Implementation of a non-linear elastic material model with a free energy function in Abaqus 6.4 via UMAT. 18. Deutschsprachige ABAQUS Benutzerkonferenz 2006; 2.12:15.
-
-
-
|