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Volumn 27, Issue 7, 2011, Pages 983-1003

On the coupling of plastic slip and deformation-induced twinning in magnesium: A variationally consistent approach based on energy minimization

Author keywords

Finite element method; Magnesium; Texture; Twinning; Variational principles

Indexed keywords

CHANNEL DIE; CONVEXIFICATION; CRITICAL VOLUME; CRYSTAL PLASTICITY; CRYSTAL PLASTICITY THEORY; DISLOCATION SLIP; ENERGY MINIMIZATION; EXPERIMENTAL OBSERVATION; FINITE STRAIN; IN-LINE; LIMITING CASE; MECHANICAL RESPONSE; MICRO-SCALES; NUMERICAL EFFICIENCY; NUMERICAL RESULTS; PLASTIC SHEAR STRAIN; PLASTIC SLIP; SIMPLE SHEAR; SLIP RATES; SOLID-SOLID PHASE TRANSITIONS; STATIONARITY; STRESS-STRAIN RESPONSE; TEXTURE EVOLUTIONS; VARIATIONAL PRINCIPLES; VARIATIONAL STRUCTURES;

EID: 79955844178     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.10.009     Document Type: Article
Times cited : (37)

References (75)
  • 1
    • 12344256118 scopus 로고    scopus 로고
    • Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B
    • DOI 10.1016/j.ijplas.2004.05.018, PII S0749641904001408, Plasticity of Multiphase Materials
    • S.R. Agnew, and O. Duygulu Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B International Journal of Plasticity 21 2005 1161 1193 (Pubitemid 40134420)
    • (2005) International Journal of Plasticity , vol.21 , Issue.6 , pp. 1161-1193
    • Agnew, S.R.1    Duygulu, O.2
  • 2
    • 18844407097 scopus 로고    scopus 로고
    • Texture evolution of five wrought magnesium alloys during route a equal channel angular extrusion: Experiments and simulations
    • DOI 10.1016/j.actamat.2005.02.019, PII S1359645405001047
    • S.R. Agnew, P. Mehrotra, T.M. Lillo, G.M. Stoica, and P.K. Liaw Texture evolution of five wrought magnesium alloys during route a equal channel angular extrusion: Experiments and simulations Acta Materialia 53 2005 3135 3146 (Pubitemid 40690788)
    • (2005) Acta Materialia , vol.53 , Issue.11 , pp. 3135-3146
    • Agnew, S.R.1    Mehrotra, P.2    Lillo, T.M.3    Stoica, G.M.4    Liaw, P.K.5
  • 3
    • 0035803001 scopus 로고    scopus 로고
    • Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y
    • DOI 10.1016/S1359-6454(01)00297-X, PII S135964540100297X
    • S.R. Agnew, M.H. Yoo, and C.N. Tome Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y Acta Materialia 49 2001 4277 4289 (Pubitemid 33067780)
    • (2001) Acta Materialia , vol.49 , Issue.20 , pp. 4277-4289
    • Agnew, S.R.1    Yoo, M.H.2    Tome, C.N.3
  • 4
    • 0034269210 scopus 로고    scopus 로고
    • Non-basal slip in magnesium-lithium alloy single crystals
    • S. Ando, and H. Tonda Non-basal slip in magnesium-lithium alloy single crystals Material Transactions 41 2000 1188 1191
    • (2000) Material Transactions , vol.41 , pp. 1188-1191
    • Ando, S.1    Tonda, H.2
  • 6
    • 0022083554 scopus 로고
    • Texture development and strain hardening in rate dependent polycrystals
    • DOI 10.1016/0001-6160(85)90188-9
    • R.J. Asaro, and A. Needleman Texture development and strain hardening in rate dependent polycrystals Acta Metallurgica 33 1985 923 953 (Pubitemid 15565280)
    • (1985) Acta Metallurgica , vol.33 , Issue.6 , pp. 923-953
    • Asaro, R.J.1    Needleman, A.2
  • 9
    • 0001255647 scopus 로고
    • Deformation twinning in calcite, dolomite, and other rhombohedral carbonates
    • D.J. Barber, and H.R. Wenk Deformation twinning in calcite, dolomite, and other rhombohedral carbonates Physics and Chemistry of Minerals 5 1979 141 165
    • (1979) Physics and Chemistry of Minerals , vol.5 , pp. 141-165
    • Barber, D.J.1    Wenk, H.R.2
  • 10
    • 33750359951 scopus 로고    scopus 로고
    • Role of strain-rate sensitivity in the crystal plasticity of hexagonal structures
    • DOI 10.1016/j.ijplas.2006.02.013, PII S0749641906000726
    • B. Beausir, L. Toth, and K. Neale Role of strain-rate sensitivity in the crystal plasticity of hexagonal structures International Journal of Plasticity 23 2007 227 243 (Pubitemid 44636101)
    • (2007) International Journal of Plasticity , vol.23 , Issue.2 , pp. 227-243
    • Beausir, B.1    Toth, L.S.2    Neale, K.W.3
  • 12
    • 67049125713 scopus 로고    scopus 로고
    • Non-convex potentials and microstructures in finite-strain plasticity
    • C. Carstensen, K. Hackl, and A. Mielke Non-convex potentials and microstructures in finite-strain plasticity Proceeding of the Royal Society A 458 2002 299 317
    • (2002) Proceeding of the Royal Society A , vol.458 , pp. 299-317
    • Carstensen, C.1    Hackl, K.2    Mielke, A.3
  • 13
    • 28544432731 scopus 로고    scopus 로고
    • Dislocation density model for the effect of grain size on the flow stress of a Ti-15.2 at.% Mo β-alloy at 4.2-650K
    • DOI 10.1016/j.msea.2005.03.117, PII S0921509305007641
    • K. Chia, K. Jung, and H. Conrad Dislocation density model for the effect of grain size on the flow stress of a Ti-15.2 at.% mo [beta]-alloy at 4.2-650 K Materials Science and Engineering: A 409 2005 32 38 (Pubitemid 41742287)
    • (2005) Materials Science and Engineering A , vol.409 , Issue.1-2 , pp. 32-38
    • Chia, K.-H.1    Jung, K.2    Conrad, H.3
  • 20
    • 34848837319 scopus 로고    scopus 로고
    • Yielding of magnesium: From single crystal to polycrystalline aggregates
    • DOI 10.1016/j.ijplas.2007.07.009, PII S0749641907001076
    • S. Graff, W. Brocks, and D. Steglich Yielding of magnesium: from single crystal to polycrystalline aggregates International Journal of Plasticity 23 2007 1957 1978 (Pubitemid 47496125)
    • (2007) International Journal of Plasticity , vol.23 , Issue.12 , pp. 1957-1978
    • Graff, S.1    Brocks, W.2    Steglich, D.3
  • 21
    • 40449142208 scopus 로고    scopus 로고
    • On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
    • K. Hackl, and F.D. Fischer On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials Proceeding of the Royal Society A 464 2008 117 132
    • (2008) Proceeding of the Royal Society A , vol.464 , pp. 117-132
    • Hackl, K.1    Fischer, F.D.2
  • 22
    • 37649028046 scopus 로고    scopus 로고
    • Dynamical excitation and anelastic relaxation of ferroelastic domain walls in laalo3
    • R.J. Harrison, S.A.T. Redfern, and E.K.H. Salje Dynamical excitation and anelastic relaxation of ferroelastic domain walls in laalo3 Physical Review B 69 2004 144101.1 144101.10
    • (2004) Physical Review B , vol.69 , pp. 1441011-14410110
    • Harrison, R.J.1    Redfern, S.A.T.2    Salje, E.K.H.3
  • 23
    • 0000150012 scopus 로고
    • Deformation mechanisms in polycrystalline aggregates of magnesium
    • F.E. Hauser, C.D. Starr, L. Tietz, and J.E. Dorn Deformation mechanisms in polycrystalline aggregates of magnesium Transactions of the ASM 47 1955 102 134
    • (1955) Transactions of the ASM , vol.47 , pp. 102-134
    • Hauser, F.E.1    Starr, C.D.2    Tietz, L.3    Dorn, J.E.4
  • 24
    • 44349098862 scopus 로고
    • Generalized constitutive relations for incremental deformation of metal crystals by multislip
    • R. Hill Generalized constitutive relations for incremental deformation of metal crystals by multislip Journal of the Mechanics and Physics of Solids 14 1966 95 102
    • (1966) Journal of the Mechanics and Physics of Solids , vol.14 , pp. 95-102
    • Hill, R.1
  • 25
    • 0001155575 scopus 로고
    • On constitutive macro-variables for heterogeneous solids at finite strain
    • R. Hill On constitutive macro-variables for heterogeneous solids at finite strain Proceedings of the Royal Society 326 1972 131 147
    • (1972) Proceedings of the Royal Society , vol.326 , pp. 131-147
    • Hill, R.1
  • 26
    • 0033740160 scopus 로고    scopus 로고
    • Structural changes in elastoplastic material: A unified finite-element approach to phase transformation, twinning and fracture
    • A.V. Idesman, V.I. Levitas, and E. Stein Structural changes in elastoplastic material: a unified finite-element approach to phase transformation, twinning and fracture International Journal of Plasticity 16 2000 893 949
    • (2000) International Journal of Plasticity , vol.16 , pp. 893-949
    • Idesman, A.V.1    Levitas, V.I.2    Stein, E.3
  • 28
    • 0033892030 scopus 로고    scopus 로고
    • Martensitic transformations and shape-memory materials
    • DOI 10.1016/S1359-6454(99)00295-5
    • R.D. James, and K.F. Hane Martensitic transformations and shape-memory materials Acta Materialia 48 2000 197 222 (Pubitemid 30558403)
    • (2000) Acta Materialia , vol.48 , Issue.1 , pp. 197-222
    • James, R.D.1    Hane, K.F.2
  • 30
    • 65049083605 scopus 로고    scopus 로고
    • A continuum model for initiation and evolution of deformation twinning
    • D.M. Kochmann, and K.C. Le A continuum model for initiation and evolution of deformation twinning Journal of the Mechanics and Physics of Solids 57 2009 987 1002
    • (2009) Journal of the Mechanics and Physics of Solids , vol.57 , pp. 987-1002
    • Kochmann, D.M.1    Le, K.C.2
  • 31
    • 85024545548 scopus 로고
    • Elastic-plastic deformations at finite strains
    • E.H. Lee Elastic-plastic deformations at finite strains ASME, Journal of Applied Mechanics 36 1969 1 6
    • (1969) ASME, Journal of Applied Mechanics , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 33
    • 79955845417 scopus 로고
    • The relationship of hardness measurments to the tensile and compression flow curves
    • Wright Air Development Center, Ohio, USA
    • Lenhart, R.E.; 1955. The relationship of hardness measurments to the tensile and compression flow curves. Tech. Rep. 114, Wright Air Development Center, Ohio, USA.
    • (1955) Tech. Rep. 114
    • Lenhart, R.E.1
  • 35
    • 60849095490 scopus 로고    scopus 로고
    • Zonal dislocations mediating twinning in magnesium
    • B. Li, and E. Ma Zonal dislocations mediating twinning in magnesium Acta Materialia 57 2009 1734 1743
    • (2009) Acta Materialia , vol.57 , pp. 1734-1743
    • Li, B.1    Ma, E.2
  • 36
    • 76549114654 scopus 로고    scopus 로고
    • Microcompression study of Mg (0 0 0 1) single crystal
    • E. Lilleodden Microcompression study of Mg (0 0 0 1) single crystal Scripta Materialia 62 2010 532 535
    • (2010) Scripta Materialia , vol.62 , pp. 532-535
    • Lilleodden, E.1
  • 37
    • 0015357733 scopus 로고
    • On the thermodynamic foundation of non-linear solid mechanics
    • J. Lubliner On the thermodynamic foundation of non-linear solid mechanics International Journal of Non-linear Mechanics 7 1972 237 254
    • (1972) International Journal of Non-linear Mechanics , vol.7 , pp. 237-254
    • Lubliner, J.1
  • 38
    • 0003457345 scopus 로고    scopus 로고
    • Maxwell Macmillian International Edtion
    • J. Lubliner Plasticity Theory 1997 Maxwell Macmillian International Edtion
    • (1997) Plasticity Theory
    • Lubliner, J.1
  • 41
    • 2642568519 scopus 로고    scopus 로고
    • The evolution of non-basal dislocations as a function of deformation temperature in pure magnesium determined by x-ray diffraction
    • K. Mathis, K. Nyilas, A. Axt, I. Dragomir-Cernatescu, T. Ungar, and P. Lukac The evolution of non-basal dislocations as a function of deformation temperature in pure magnesium determined by x-ray diffraction Acta Materialia 52 2004 2889 2894
    • (2004) Acta Materialia , vol.52 , pp. 2889-2894
    • Mathis, K.1    Nyilas, K.2    Axt, A.3    Dragomir-Cernatescu, I.4    Ungar, T.5    Lukac, P.6
  • 42
    • 31144470996 scopus 로고    scopus 로고
    • A semi-implicit integration scheme for rate independent finite crystal plasticity
    • DOI 10.1016/j.ijplas.2005.06.002, PII S0749641905001269
    • R.D. McGinty, and D.L. McDowell A semi-implicit integration scheme for rate independent finite crystal plasticity International Journal of Plasticity 22 2006 996 1025 (Pubitemid 43132936)
    • (2006) International Journal of Plasticity , vol.22 , Issue.6 , pp. 996-1025
    • McGinty, R.D.1    McDowell, D.L.2
  • 43
    • 0037146840 scopus 로고    scopus 로고
    • Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
    • DOI 10.1002/nme.515
    • C. Miehe Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation International Journal for Numerical Methods in Engineering 55 2002 1285 1322 (Pubitemid 35400160)
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , Issue.11 , pp. 1285-1322
    • Miehe, C.1
  • 44
    • 0042902231 scopus 로고    scopus 로고
    • A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials
    • C. Miehe, and M. Lambrecht A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: small-strain theory for standard dissipative materials International Journal for Numerical Methods in Engineering 58 2003 1 41
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1-41
    • Miehe, C.1    Lambrecht, M.2
  • 45
    • 0036012128 scopus 로고    scopus 로고
    • A variational formulation of rate-independent phase transformations using an extremum principle
    • DOI 10.1007/s002050200194
    • A. Mielke, and F.I.L.V. Theil A variational formulation of rate-independent phase transformations using an extremum principle Archive for Rational Mechanics and Analysis 162 2002 137 177 (Pubitemid 36195114)
    • (2002) Archive for Rational Mechanics and Analysis , vol.162 , Issue.2 , pp. 137-177
    • Mielke, A.1    Theil, F.2    Levitas, V.I.3
  • 48
    • 60649118021 scopus 로고    scopus 로고
    • Towards variational constitutive updates for non-associative plasticity models at finite strain: Models based on a volumetric-deviatoric split
    • J. Mosler, and O.T. Bruhns Towards variational constitutive updates for non-associative plasticity models at finite strain: models based on a volumetric-deviatoric split International Journal of Solids and Structures 49 2009 1676 1685
    • (2009) International Journal of Solids and Structures , vol.49 , pp. 1676-1685
    • Mosler, J.1    Bruhns, O.T.2
  • 49
    • 65249101580 scopus 로고    scopus 로고
    • A variational formulation for finite deformation wrinkling analysis of inelastic membranes
    • J. Mosler, and F. Cirak A variational formulation for finite deformation wrinkling analysis of inelastic membranes Computer Methods in Applied Mechanics and Engineering 198 2009 2087 2098
    • (2009) Computer Methods in Applied Mechanics and Engineering , vol.198 , pp. 2087-2098
    • Mosler, J.1    Cirak, F.2
  • 50
    • 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. Mueller, and O.T. Bruhns A thermodynamic finite-strain model for pseudoelastic shape memory alloys International Journal of Plasticity 22 2006 1658 1682 (Pubitemid 44304445)
    • (2006) International Journal of Plasticity , vol.22 , Issue.9 , pp. 1658-1682
    • Muller, Ch.1    Bruhns, O.T.2
  • 52
    • 49549165776 scopus 로고
    • { 1 1 2 ̄ 2 } Slip system in magnesium { 1 ̄ 1 ̄ 2 3 }
    • T. Obara, H. Yoshinga, and S. Morozumi { 1 1 2 ̄ 2 } Slip system in magnesium { 1 ̄ 1 ̄ 2 3 } Acta Metallurgica 21 1973 845 853
    • (1973) Acta Metallurgica , vol.21 , pp. 845-853
    • Obara, T.1    Yoshinga, H.2    Morozumi, S.3
  • 53
    • 0033076749 scopus 로고    scopus 로고
    • Nonconvexnext energy minimization and dislocation structures in ductile single crystals
    • M. Ortiz, and E.A. Repetto Nonconvexnext energy minimization and dislocation structures in ductile single crystals Journal of the Mechanics and Physics of Solids 47 1999 397 462
    • (1999) Journal of the Mechanics and Physics of Solids , vol.47 , pp. 397-462
    • Ortiz, M.1    Repetto, E.A.2
  • 55
    • 0020140945 scopus 로고
    • An analysis of nonuniform and localized deformation in ductile single crystals
    • DOI 10.1016/0001-6160(82)90005-0
    • D. Peirce, R.J. Asaro, and A. Needleman An analysis of nonuniform and localized deformation in ductile single crystals Acta Metallurgica 30 1982 1087 1119 (Pubitemid 12520837)
    • (1982) Acta Metallurgica , vol.30 , Issue.6 , pp. 1087-1119
    • Peirce, D.1    Asaro, R.J.2    Needleman, A.3
  • 57
    • 62249176200 scopus 로고    scopus 로고
    • Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31
    • G. Proust, C.N. Tome, A. Jain, and S.R. Agnew Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 International Journal of Plasticity 25 2009 861 880
    • (2009) International Journal of Plasticity , vol.25 , pp. 861-880
    • Proust, G.1    Tome, C.N.2    Jain, A.3    Agnew, S.R.4
  • 60
    • 0015161025 scopus 로고
    • Inelastic constitutive relations for solids: An internal variable theory and its application to metal plasticity
    • J.R. Rice Inelastic constitutive relations for solids: an internal variable theory and its application to metal plasticity Journal of the Mechanics and Physics of Solids 19 1971 433 455
    • (1971) Journal of the Mechanics and Physics of Solids , vol.19 , pp. 433-455
    • Rice, J.R.1
  • 61
    • 0013373180 scopus 로고
    • The accomodation around { 1 0 1 ̄ 2 } 〈 1 ̄ 0 1 1 〉 twins in magnesium
    • E. Roberts, and P.G. Partridge The accomodation around { 1 0 1 ̄ 2 } 〈 1 ̄ 0 1 1 〉 twins in magnesium Acta Metallurgica 14 1966 513 527
    • (1966) Acta Metallurgica , vol.14 , pp. 513-527
    • Roberts, E.1    Partridge, P.G.2
  • 62
    • 72549093138 scopus 로고    scopus 로고
    • Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
    • F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, and D. Raabe Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications Acta Materialia 58 2010 1152 1211
    • (2010) Acta Materialia , vol.58 , pp. 1152-1211
    • Roters, F.1    Eisenlohr, P.2    Hantcherli, L.3    Tjahjanto, D.D.4    Bieler, T.R.5    Raabe, D.6
  • 64
    • 0037436531 scopus 로고    scopus 로고
    • Numerical concepts for rate-independent single crystal plasticity
    • DOI 10.1016/S0045-7825(02)00563-7
    • M. Schmidt-Baldassari Numerical concepts for rate-independent single crystal plasticity Computer Methods in Applied Mechanics and Engineering 192 2003 1261 1280 (Pubitemid 36333621)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.11-12 , pp. 1261-1280
    • Schmidt-Baldassari, M.1
  • 66
    • 0031062025 scopus 로고    scopus 로고
    • Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia
    • N.K. Simha Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia Journal of the Mechanics and Physics of Solids 45 1997 261 263
    • (1997) Journal of the Mechanics and Physics of Solids , vol.45 , pp. 261-263
    • Simha, N.K.1
  • 68
    • 0038347289 scopus 로고    scopus 로고
    • A constitutive model for hcp materials deforming by slip and twinning: Application to magnesium alloy AZ31B
    • A. Staroselsky, and L. Anand A constitutive model for hcp materials deforming by slip and twinning: application to magnesium alloy AZ31B International Journal of Plasticity 19 2003 1843 1864
    • (2003) International Journal of Plasticity , vol.19 , pp. 1843-1864
    • Staroselsky, A.1    Anand, L.2
  • 69
    • 0021623474 scopus 로고
    • Theoretical-analysis of the channel die compression test. 1: General-considerations and finite deformation of fcc crystals in stable lattice orientations
    • DOI 10.1016/0022-5096(84)90029-2
    • P.L. Sue, and K.S. Havner Theoretical-analysis of the channel die compression test. 1: General-considerations and finite deformation of fcc crystals in stable lattice orientations Journal of the Mechanics and Physics of Solids 32 1984 417 442 (Pubitemid 15455434)
    • (1984) Journal of the Mechanics and Physics of Solids , vol.32 , Issue.6 , pp. 417-442
    • Sue, P.L.1    Havner, K.S.2
  • 70
    • 84996178101 scopus 로고
    • Independent slip systems and ductility of hexagonal polycrystals
    • W.J.M. Tegart Independent slip systems and ductility of hexagonal polycrystals Philosophical Magazine 9 1964 339 341
    • (1964) Philosophical Magazine , vol.9 , pp. 339-341
    • Tegart, W.J.M.1
  • 71
    • 0020153815 scopus 로고
    • Influence of grain-size and age-hardening on dislocation pile-ups and tensile fracture for a ti-al alloy
    • G. Terlinde, and G. Luetjering Influence of grain-size and age-hardening on dislocation pile-ups and tensile fracture for a ti-al alloy Metallurgical Transactions A - Physical Metallurgy and Materials Science 13 1982 1283 1292 (Pubitemid 12532729)
    • (1982) Metallurgical transactions. A, Physical metallurgy and materials science , vol.13 , Issue.7 , pp. 1283-1292
    • Terlinde, G.1    Luetjering, G.2
  • 72
    • 0017960588 scopus 로고
    • Simulation of the rolling and shear texture of brass by the taylor theory adapted for mechanical twinning
    • P. Van Houtte Simulation of the rolling and shear texture of brass by the taylor theory adapted for mechanical twinning Acta Metallurgica 26 1978 591 604 (Pubitemid 8596512)
    • (1978) Acta Metall , vol.26 , Issue.4 , pp. 591-604
    • Van Houtte, P.1
  • 75
    • 33947699435 scopus 로고    scopus 로고
    • An effective computational algorithm for rate-independent crystal plasticity based on a single crystal yield surface with an application to tube hydroforming
    • DOI 10.1016/j.ijplas.2006.10.012, PII S0749641906001422
    • A. Zamiri, F. Pourboghrat, and F. Barlat An effective computational algorithm for rate-independent crystal plasticity based on a single crystal yield surface with an application to tube hydroforming International Journal of Plasticity 23 2007 1126 1147 (Pubitemid 46498677)
    • (2007) International Journal of Plasticity , vol.23 , Issue.7 , pp. 1126-1147
    • Zamiri, A.1    Pourboghrat, F.2    Barlat, F.3


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