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Volumn 49, Issue 21, 2012, Pages 2951-2961

Time integration of a model for martensite detwinning and reorientation under nonproportional loading using Lagrange multipliers

Author keywords

Constrained optimization; Lagrange multipliers; Martensite reorientation; Nonproportional loading; Shape memory alloys

Indexed keywords

CLOSED-FORM EXPRESSION; COMPLEX LOADING; CONSISTENT TANGENT MODULUS; DETWINNING; EXPERIMENTAL DATA; FINITE ELEMENT SOFTWARE; IMPLICIT TIME INTEGRATION; INELASTIC DEFORMATION; INTEGRATION SCHEME; MARTENSITE REORIENTATION; MARTENSITIC PHASE; NONPROPORTIONAL LOADING; SATURATION CONDITIONS; TIME INTEGRATION;

EID: 84865201076     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.05.038     Document Type: Article
Times cited : (29)

References (50)
  • 1
    • 0034742587 scopus 로고    scopus 로고
    • A robust integration-algorithm for a finite-strain shape-memory-alloy superelastic model
    • DOI 10.1016/S0749-6419(00)00050-4, PII S0749641900000504
    • F. Auricchio A robust integration-algorithm for a finite-strain shape-memory-alloy superelastic model International Journal of Plasticity 17 7 2001 971 990 (Pubitemid 32543787)
    • (2001) International Journal of Plasticity , vol.17 , Issue.7 , pp. 971-990
    • Auricchio, F.1
  • 2
    • 0031126082 scopus 로고    scopus 로고
    • Shape-memory alloys: Modelling and numerical simulations of the finite-strain superelastic behavior
    • PII S0045782596011474
    • F. Auricchio, and R.L. Taylor Shape-memory alloys: modelling and numerical simulations of the finite-strain superelastic behavior Computer Methods in Applied Mechanics and Engineering 143 1-2 1997 175 194 (Pubitemid 127411650)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.143 , Issue.1-2 , pp. 175-194
    • Auricchio, F.1    Taylor, R.L.2
  • 3
    • 0002189369 scopus 로고    scopus 로고
    • Finite element modeling of cyclic thermal response of shape memory alloy wires with variable material properties
    • A. Bhattacharyya, M. Faulkner, and J. Amalraj Finite element modeling of cyclic thermal response of shape memory alloy wires with variable material properties Computational Materials Science 17 1 2000 93 104
    • (2000) Computational Materials Science , vol.17 , Issue.1 , pp. 93-104
    • Bhattacharyya, A.1    Faulkner, M.2    Amalraj, J.3
  • 4
    • 30244500749 scopus 로고
    • The crystallography of martensite transformations i
    • J.S. Bowles, and J.K. Mackenzie The crystallography of martensite transformations I Acta Metallurgica 2 1 1954 129 137
    • (1954) Acta Metallurgica , vol.2 , Issue.1 , pp. 129-137
    • Bowles, J.S.1    MacKenzie, J.K.2
  • 5
    • 0001042580 scopus 로고
    • The crystallography of martensite transformations III. Face-centred cubic to body-centred tetragonal transformations
    • J.S. Bowles, and J.K. Mackenzie The crystallography of martensite transformations III. Face-centred cubic to body-centred tetragonal transformations Acta Metallurgica 2 2 1954 224 234
    • (1954) Acta Metallurgica , vol.2 , Issue.2 , pp. 224-234
    • Bowles, J.S.1    MacKenzie, J.K.2
  • 6
    • 0030401617 scopus 로고    scopus 로고
    • A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy
    • DOI 10.1016/S0749-6419(96)00030-7, PII S0749641996000307
    • J. Boyd, and D. Lagoudas A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy International Journal of Plasticity 12 1996 805 842 (Pubitemid 126404033)
    • (1996) International Journal of Plasticity , vol.12 , Issue.6 , pp. 805-842
    • Boyd, J.G.1    Lagoudas, D.C.2
  • 7
    • 0027575167 scopus 로고
    • One-dimensional constitutive behavior of shape memory alloys: Thermomechanical derivation with non-constant material functions and redefined martensite internal variable
    • L. Brinson One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable Journal of Intelligent Material Systems and Structures 4 2 1993 229 242 (Pubitemid 23640066)
    • (1993) Journal of Intelligent Material Systems and Structures , vol.4 , Issue.2 , pp. 229-242
    • Brinson, L.C.1
  • 8
    • 0027848095 scopus 로고
    • Finite element analysis of the behavior of shape memory alloys and their applications
    • L. Brinson, and R. Lammering Finite element analysis of the behavior of shape memory alloys and their applications International Journal of Solids and Structures 30 23 1993 3261 3280
    • (1993) International Journal of Solids and Structures , vol.30 , Issue.23 , pp. 3261-3280
    • Brinson, L.1    Lammering, R.2
  • 10
    • 0016433301 scopus 로고
    • Sur les matériaux standards généralisés
    • B. Halphen, and Q.S. Nguyen Sur les matériaux standards généralisés Journal de Mécanique 14 1 1975 39 63
    • (1975) Journal de Mécanique , vol.14 , Issue.1 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 12
    • 84857917173 scopus 로고    scopus 로고
    • Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys
    • D. Lagoudas, D. Hartl, Y. Chemisky, L. Machado, and P. Popov Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys International Journal of Plasticity 32-33 2012 155 183
    • (2012) International Journal of Plasticity , vol.3233 , pp. 155-183
    • Lagoudas, D.1    Hartl, D.2    Chemisky, Y.3    MacHado, L.4    Popov, P.5
  • 13
    • 0036495256 scopus 로고    scopus 로고
    • Cyclic thermomechanical behavior of a polycrystalline pseudoelastic shape memory alloy
    • PII S0022509601000886
    • T. Lim, and D. McDowell Cyclic thermomechanical behavior of a polycrystalline pseudoelastic shape memory alloy Journal of the Mechanics and Physics of Solids 50 2002 651 676 (Pubitemid 34220979)
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , Issue.3 , pp. 651-676
    • Lim, T.J.1    McDowell, D.L.2
  • 14
    • 30244500749 scopus 로고
    • The crystallography of martensite transformations II
    • J.K. Mackenzie, and J.S. Bowles The crystallography of martensite transformations II Acta Metallurgica 2 1 1954 138 147
    • (1954) Acta Metallurgica , vol.2 , Issue.1 , pp. 138-147
    • MacKenzie, J.K.1    Bowles, J.S.2
  • 15
    • 0030079789 scopus 로고    scopus 로고
    • Modelling the mechanical behavior of shape memory alloys under variant coalescence
    • F. Marketz, and F.D. Fischer Modelling the mechanical behavior of shape memory alloys under variant coalescence Computational Materials Science 5 1-3 1996 210 226 (Pubitemid 126411574)
    • (1996) Computational Materials Science , vol.5 , Issue.1-3 , pp. 210-226
    • Marketz, F.1    Fischer, F.D.2
  • 16
    • 79960086949 scopus 로고    scopus 로고
    • Direct numerical determination of the asymptotic cyclic behavior of pseudoelastic shape memory structures
    • C. Morin, Z. Moumni, and W. Zaki Direct numerical determination of the asymptotic cyclic behavior of pseudoelastic shape memory structures Journal of Engineering Mechanics 137 7 2011 497 503
    • (2011) Journal of Engineering Mechanics , vol.137 , Issue.7 , pp. 497-503
    • Morin, C.1    Moumni, Z.2    Zaki, W.3
  • 17
    • 80053403784 scopus 로고    scopus 로고
    • Influence of heat transfer on the thermomechanical behavior of shape memory alloys
    • C. Morin, Z. Moumni, and W. Zaki Influence of heat transfer on the thermomechanical behavior of shape memory alloys International Review of Mechanical Engineering 57 2 2011 329 339
    • (2011) International Review of Mechanical Engineering , vol.57 , Issue.2 , pp. 329-339
    • Morin, C.1    Moumni, Z.2    Zaki, W.3
  • 18
    • 79953901898 scopus 로고    scopus 로고
    • A constitutive model for shape memory alloys accounting for thermomechanical coupling
    • C. Morin, Z. Moumni, and W. Zaki A constitutive model for shape memory alloys accounting for thermomechanical coupling International Journal of Plasticity 27 5 2011 748 767
    • (2011) International Journal of Plasticity , vol.27 , Issue.5 , pp. 748-767
    • Morin, C.1    Moumni, Z.2    Zaki, W.3
  • 20
    • 38149059779 scopus 로고    scopus 로고
    • Theoretical and numerical modeling of solid-solid phase change: Application to the description of the thermomechanical behavior of shape memory alloys
    • Z. Moumni, W. Zaki, and Q.S. Nguyen Theoretical and numerical modeling of solid-solid phase change: application to the description of the thermomechanical behavior of shape memory alloys International Journal of Plasticity 24 4 2008 614 645
    • (2008) International Journal of Plasticity , vol.24 , Issue.4 , pp. 614-645
    • Moumni, Z.1    Zaki, W.2    Nguyen, Q.S.3
  • 22
    • 33748108358 scopus 로고    scopus 로고
    • A thermodynamic finite-strain model for pseudoelastic shape memory alloys
    • DOI 10.1016/j.ijplas.2006.02.010, PII S0749641906000179
    • C. Müller, and O. Bruhns A thermodynamic finite-strain model for pseudoelastic shape memory alloys International Journal of Plasticity 22 9 2006 1658 1682 (Pubitemid 44304445)
    • (2006) International Journal of Plasticity , vol.22 , Issue.9 , pp. 1658-1682
    • Muller, Ch.1    Bruhns, O.T.2
  • 23
    • 34249964601 scopus 로고
    • On the size of the hysteresis in pseudoelasticity
    • I. Müller On the size of the hysteresis in pseudoelasticity Continuum Mechanics and Thermodynamics 1 1989 125 142
    • (1989) Continuum Mechanics and Thermodynamics , vol.1 , pp. 125-142
    • Müller, I.1
  • 26
    • 34548858166 scopus 로고    scopus 로고
    • An isotropic-plasticity-based constitutive model for martensitic reorientation and shape-memory effect in shape-memory alloys
    • DOI 10.1016/j.ijsolstr.2007.05.006, PII S002076830700217X
    • H. Pan, P. Thamburaja, and F. Chau An isotropic-plasticity-based constitutive model for martensitic reorientation and shape-memory effect in shape-memory alloys International Journal of Solids and Structures 44 22-23 2007 7688 7712 (Pubitemid 47451415)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.22-23 , pp. 7688-7712
    • Pan, H.1    Thamburaja, P.2    Chau, F.S.3
  • 27
    • 35248853906 scopus 로고    scopus 로고
    • A three-dimensional phenomenological model for martensite reorientation in shape memory alloys
    • DOI 10.1016/j.jmps.2007.03.010, PII S0022509607000713
    • M. Panico, and L. Brinson A three-dimensional phenomenological model for martensite reorientation in shape memory alloys Journal of the Mechanics and Physics of Solids 55 11 2007 2491 2511 (Pubitemid 47562464)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.11 , pp. 2491-2511
    • Panico, M.1    Brinson, L.C.2
  • 28
    • 0033895476 scopus 로고    scopus 로고
    • Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms
    • D. Qidwai, and M.A. Lagoudas Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms International Journal for Numerical Methods in Engineering 47 2000 1123 1168
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , pp. 1123-1168
    • Qidwai, D.1    Lagoudas, M.A.2
  • 29
    • 0032010239 scopus 로고    scopus 로고
    • Thermodynamics of isotropic pseudoelasticity in shape memory alloys
    • B. Raniecki, and C. Lexcellent Thermodynamics of isotropic pseudoelasticity in shape memory alloys European Journal of Mechanics A/Solids 17 1998 185 205 (Pubitemid 128392827)
    • (1998) European Journal of Mechanics, A/Solids , vol.17 , Issue.2 , pp. 185-205
    • Raniecki, B.1    Lexcellent, Ch.2
  • 30
    • 0000568870 scopus 로고
    • Thermodynamic models of pseudoelastic behaviour of shape memory alloys
    • B. Raniecki, C. Lexcellent, and K. Tanaka Thermodynamic models of pseudoelastic behaviour of shape memory alloys Archives of Mechanics 44 1992 261 284
    • (1992) Archives of Mechanics , vol.44 , pp. 261-284
    • Raniecki, B.1    Lexcellent, C.2    Tanaka, K.3
  • 31
    • 37049034643 scopus 로고    scopus 로고
    • Finite deformation pseudo-elasticity of shape memory alloys - Constitutive modelling and finite element implementation
    • DOI 10.1016/j.ijplas.2007.05.005, PII S0749641907000848
    • S. Reese, and D. Christ Finite deformation pseudo-elasticity of shape memory alloys - constitutive modelling and finite element implementation International Journal of Plasticity 24 3 2008 455 482 (Pubitemid 350251672)
    • (2008) International Journal of Plasticity , vol.24 , Issue.3 , pp. 455-482
    • Reese, S.1    Christ, D.2
  • 32
    • 0036992118 scopus 로고    scopus 로고
    • Modelling and simulation of the superelastic behaviour of shape memory alloys using the element-free galerkin method
    • J. Ren, K. Liew, and S. Meguid Modelling and simulation of the superelastic behaviour of shape memory alloys using the element-free galerkin method International Journal of Mechanical Sciences 44 12 2002 2393 2413
    • (2002) International Journal of Mechanical Sciences , vol.44 , Issue.12 , pp. 2393-2413
    • Ren, J.1    Liew, K.2    Meguid, S.3
  • 33
    • 0042205964 scopus 로고    scopus 로고
    • Numerical modeling of stress induced martensitic phase transformations in shape memory alloys
    • PII S002076839700125X
    • G. Rengarajan, R. Krishna Kumar, and J.N. Reddy Numerical modeling of stress induced martensitic phase transformations in shape memory alloys International Journal of Solids and Structures 35 14 1998 1489 1513 (Pubitemid 128398064)
    • (1998) International Journal of Solids and Structures , vol.35 , Issue.14 , pp. 1489-1513
    • Rengarajan, G.1    Krishna Kumar, R.2    Reddy, J.N.3
  • 34
    • 0037029057 scopus 로고    scopus 로고
    • A thermochemical model for a 1-D shape memory alloy wire with propagating instabilities
    • DOI 10.1016/S0020-7683(01)00242-6, PII S0020768301002426
    • J. Shaw A thermomechanical model for a 1-D shape memory alloy wire with propagating instabilities International Journal of Solids and Structures 39 2002 1275 1305 (Pubitemid 34271634)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.5 , pp. 1275-1305
    • Shaw, J.A.1
  • 35
    • 0031078592 scopus 로고    scopus 로고
    • On the nucleation and propagation of phase transformation fronts in a NiTi alloy
    • PII S1359645496001899
    • 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 (Pubitemid 127415436)
    • (1997) Acta Materialia , vol.45 , Issue.2 , pp. 683-700
    • Shaw, J.A.1    Kyriakides, S.2
  • 36
    • 0001835751 scopus 로고
    • Shape memory effect: Mechanism
    • CRC Press
    • T. Shimizu, and K. Tadaki Shape memory effect: mechanism Shape Memory Alloys 1987 CRC Press 1 60
    • (1987) Shape Memory Alloys , pp. 1-60
    • Shimizu, T.1    Tadaki, K.2
  • 38
    • 0034510633 scopus 로고    scopus 로고
    • Moving boundary finite element method-based numerical approach for the solution of one-dimensional problems in shape memory alloys
    • DOI 10.1016/S0045-7825(00)00188-2
    • V. Stoilov, O. Iliev, and A. Bhattacharyya A moving boundary finite element method-based numerical approach for the solution of one-dimensional problems in shape memory alloys Computer Methods in Applied Mechanics and Engineering 190 13-14 2000 1741 1762 (Pubitemid 32071431)
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.13-14 , pp. 1741-1762
    • Stoilov, V.1    Iliev, O.2    Bhattacharyya, A.3
  • 39
    • 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 Journal of the Mechanics and Physics of Solids 41 1 1993 1 17
    • (1993) Journal of the Mechanics and Physics of Solids , vol.41 , Issue.1 , pp. 1-17
    • Sun, Q.P.1    Hwang, K.C.2
  • 40
    • 13844254192 scopus 로고    scopus 로고
    • Constitutive equations for martensitic reorientation and detwinning in shape-memory alloys
    • DOI 10.1016/j.jmps.2004.11.004, PII S0022509604001930
    • P. Thamburaja Constitutive equations for martensitic reorientation and detwinning in shape-memory alloys Journal of the Mechanics and Physics of Solids 53 4 2005 825 856 (Pubitemid 40245176)
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , Issue.4 , pp. 825-856
    • Thamburaja, P.1
  • 41
    • 77955511700 scopus 로고    scopus 로고
    • A finite-deformation-based phenomenological theory for shape-memory alloys
    • P. Thamburaja A finite-deformation-based phenomenological theory for shape-memory alloys International Journal of Plasticity 26 8 2010 1195 1219
    • (2010) International Journal of Plasticity , vol.26 , Issue.8 , pp. 1195-1219
    • Thamburaja, P.1
  • 42
    • 43149100106 scopus 로고    scopus 로고
    • Micromechanical modelling of the effect of plastic deformation on the mechanical behaviour in pseudoelastic shape memory alloys
    • DOI 10.1016/j.ijplas.2007.09.006, PII S0749641907001271
    • X. Wang, B. Xu, and Z. Yue Micromechanical modelling of the effect of plastic deformation on the mechanical behaviour in pseudoelastic shape memory alloys International Journal of Plasticity 24 8 2008 1307 1332 (Pubitemid 351645163)
    • (2008) International Journal of Plasticity , vol.24 , Issue.8 , pp. 1307-1332
    • Wang, X.M.1    Xu, B.X.2    Yue, Z.F.3
  • 43
    • 0004690613 scopus 로고    scopus 로고
    • C. Wayman, K. Otsuka, Cambridge University Press
    • C. Wayman, K. Otsuka, Shape Memory Alloys 1999 Cambridge University Press
    • (1999) Shape Memory Alloys
  • 45
    • 76649104070 scopus 로고    scopus 로고
    • An approach to modeling tensile-compressive asymmetry for martensitic shape memory alloys
    • W. Zaki An approach to modeling tensile-compressive asymmetry for martensitic shape memory alloys Smart Materials and Structures 2010
    • (2010) Smart Materials and Structures
    • Zaki, W.1
  • 47
    • 35248815614 scopus 로고    scopus 로고
    • A three-dimensional model of the thermomechanical behavior of shape memory alloys
    • DOI 10.1016/j.jmps.2007.03.012, PII S0022509607000749
    • W. Zaki, and Z. Moumni A three-dimensional model of the thermomechanical behavior of shape memory alloys Journal of the Mechanics and Physics of Solids 55 11 2007 2455 2490 (Pubitemid 47562466)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.11 , pp. 2455-2490
    • Zaki, W.1    Moumni, Z.2
  • 48
    • 35248883515 scopus 로고    scopus 로고
    • A 3D model of the cyclic thermomechanical behavior of shape memory alloys
    • DOI 10.1016/j.jmps.2007.03.011, PII S0022509607000750
    • W. Zaki, and Z. Moumni A 3D model of the cyclic thermomechanical behavior of shape memory alloys Journal of the Mechanics and Physics of Solids 55 11 2007 2427 2454 (Pubitemid 47562467)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.11 , pp. 2427-2454
    • Zaki, W.1    Moumni, Z.2
  • 49
    • 76049127858 scopus 로고    scopus 로고
    • An extension of the ZM model for shape memory alloys accounting for plastic deformation
    • W. Zaki, S. Zamfir, and Z. Moumni An extension of the ZM model for shape memory alloys accounting for plastic deformation Mechanics of Materials 42 3 2010 266 274
    • (2010) Mechanics of Materials , vol.42 , Issue.3 , pp. 266-274
    • Zaki, W.1    Zamfir, S.2    Moumni, Z.3
  • 50
    • 80053430832 scopus 로고    scopus 로고
    • Modeling tensile-compressive asymmetry for superelastic shape memory alloys
    • W. Zaki, Z. Moumni, and C. Morin Modeling tensile-compressive asymmetry for superelastic shape memory alloys Mechanics of Advanced Materials and Structures 18 7 2011 559 564
    • (2011) Mechanics of Advanced Materials and Structures , vol.18 , Issue.7 , pp. 559-564
    • Zaki, W.1    Moumni, Z.2    Morin, C.3


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