메뉴 건너뛰기




Volumn 193, Issue 30-32, 2004, Pages 3377-3401

Finite strain logarithmic hyperelasto-plasticity with softening: A strongly non-local implicit gradient framework

Author keywords

Ductile damage; Ductile failure; Gradient plasticity; Localization; Material degradation; Non local plasticity; Softening

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTICITY; STRAIN RATE; STRESS ANALYSIS;

EID: 2942701749     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.07.014     Document Type: Article
Times cited : (97)

References (74)
  • 1
    • 0015161025 scopus 로고
    • Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
    • Rice J.R. Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity J. Mech. Phys. Solids 19 1971 433-455
    • (1971) J. Mech. Phys. Solids , vol.19 , pp. 433-455
    • Rice, J.R.1
  • 3
    • 0030128143 scopus 로고    scopus 로고
    • A computational procedure for rate-independent crystal plasticity
    • Anand L. Kothari M. A computational procedure for rate-independent crystal plasticity J. Mech. Phys. Solids 44 1996 525-558
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 525-558
    • Anand, L.1    Kothari, M.2
  • 4
    • 0030212048 scopus 로고    scopus 로고
    • Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates
    • Miehe C. Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates Int. J. Solids Struct. 33 1996 1981-2004
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 1981-2004
    • Miehe, C.1
  • 5
    • 0030270729 scopus 로고    scopus 로고
    • Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals
    • Miehe C. Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals Int. J. Numer. Methods Engrg. 39 1996 3367-3390
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 3367-3390
    • Miehe, C.1
  • 6
    • 0022076781 scopus 로고
    • A unified approach to finite deformation plasticity based on the use of hyperelastic constitutive equations
    • Simo J.C. Ortiz M. A unified approach to finite deformation plasticity based on the use of hyperelastic constitutive equations Comput. Methods Appl. Mech. Engrg. 49 1985 221-245
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.49 , pp. 221-245
    • Simo, J.C.1    Ortiz, M.2
  • 7
    • 0023964056 scopus 로고
    • A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part i. Continuum formulation
    • Simo J.C. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part i. Continuum formulation Comput. Methods Appl. Mech. Engrg. 66 1988 199-219
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.66 , pp. 199-219
    • Simo, J.C.1
  • 8
    • 0024014930 scopus 로고
    • A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part ii. Computational aspects
    • Simo J.C. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part ii. Computational aspects Comput. Methods Appl. Mech. Engrg. 68 1988 1-31
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.68 , pp. 1-31
    • Simo, J.C.1
  • 9
    • 0026904029 scopus 로고
    • A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics
    • Cuitino A.M. Ortiz M. A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics Engrg. Comput. 9 1992 437-451
    • (1992) Engrg. Comput. , vol.9 , pp. 437-451
    • Cuitino, A.M.1    Ortiz, M.2
  • 10
    • 0026910667 scopus 로고
    • Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
    • Simo J.C. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory Comput. Methods Appl. Mech. Engrg. 99 1 1992 61-112
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , Issue.1 , pp. 61-112
    • Simo, J.C.1
  • 11
    • 0026898028 scopus 로고
    • Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
    • Simo J.C. Miehe C. Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation Comput. Methods Appl. Mech. Engrg. 98 1 1992 41-104
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.98 , Issue.1 , pp. 41-104
    • Simo, J.C.1    Miehe, C.2
  • 12
    • 0032496867 scopus 로고    scopus 로고
    • A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric
    • Miehe C. A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric Comput. Methods Appl. Mech. Engrg. 159 1998 223-260
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.159 , pp. 223-260
    • Miehe, C.1
  • 13
    • 0032182779 scopus 로고    scopus 로고
    • A constitutive frame for elastoplasticity at large strains based on the notion of a plastic metric
    • Miehe C. A constitutive frame for elastoplasticity at large strains based on the notion of a plastic metric Int. J. Solids Struct. 30 1998 3859-3897
    • (1998) Int. J. Solids Struct. , vol.30 , pp. 3859-3897
    • Miehe, C.1
  • 14
    • 0037159898 scopus 로고    scopus 로고
    • Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials
    • Miehe C. Apel N. Lambrecht M. Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials Comput. Methods Appl. Mech. Engrg. 191 47-48 2002 5383-5425
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.47-48 , pp. 5383-5425
    • Miehe, C.1    Apel, N.2    Lambrecht, M.3
  • 15
    • 0016557937 scopus 로고
    • The significance of formulating plasticity theory with reference to loading surfaces in strain space
    • Naghdi P.M. Trapp J.A. The significance of formulating plasticity theory with reference to loading surfaces in strain space Int. J. Engrg. Sci. 13 1975 785-797
    • (1975) Int. J. Engrg. Sci. , vol.13 , pp. 785-797
    • Naghdi, P.M.1    Trapp, J.A.2
  • 16
    • 0020766196 scopus 로고
    • On the nonequivalence of stress space and strain space formulations of plasticity theory
    • Casey J. Naghdi P.M. On the nonequivalence of stress space and strain space formulations of plasticity theory J. Appl. Mech. 50 1983 350-354
    • (1983) J. Appl. Mech. , vol.50 , pp. 350-354
    • Casey, J.1    Naghdi, P.M.2
  • 17
    • 0025497179 scopus 로고
    • A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measure
    • Eterovic A.L. Bathe K. A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measure Int. J. Numer. Methods Engrg. 30 1990 1099-1114
    • (1990) Int. J. Numer. Methods Engrg. , vol.30 , pp. 1099-1114
    • Eterovic, A.L.1    Bathe, K.2
  • 18
    • 34249963313 scopus 로고
    • A critical review of the state of finite plasticity
    • Naghdi P.M. A critical review of the state of finite plasticity J. Appl. Math. Phys. 41 1990 315-394
    • (1990) J. Appl. Math. Phys. , vol.41 , pp. 315-394
    • Naghdi, P.M.1
  • 19
    • 0003016302 scopus 로고
    • A canonical model of multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation
    • Miehe C. Stein E. A canonical model of multiplicative elasto-plasticity: formulation and aspects of the numerical implementation Eur. J. Mech. A/Solids 11 1992 25-43
    • (1992) Eur. J. Mech. A/Solids , vol.11 , pp. 25-43
    • Miehe, C.1    Stein, E.2
  • 20
    • 0026626280 scopus 로고
    • A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
    • Perić D. Owen D.R.J. Honnor M.E. A model for finite strain elasto-plasticity based on logarithmic strains: computational issues Comput. Methods Appl. Mech. Engrg. 94 1992 35-61
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.94 , pp. 35-61
    • Perić, D.1    Owen, D.R.J.2    Honnor, M.E.3
  • 21
    • 0029293050 scopus 로고
    • The logarithmic strain space description
    • Heiduschke K. The logarithmic strain space description Int. J. Solids Struct. 32 8-9 1995 1047-1062
    • (1995) Int. J. Solids Struct. , vol.32 , Issue.8-9 , pp. 1047-1062
    • Heiduschke, K.1
  • 22
    • 0032691282 scopus 로고    scopus 로고
    • Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate
    • Bruhns H.X.O.T. Meyers A. Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate Int. J. Plasticity 15 5 1999 479-520
    • (1999) Int. J. Plasticity , vol.15 , Issue.5 , pp. 479-520
    • Bruhns, H.X.O.T.1    Meyers, A.2
  • 23
    • 0033116048 scopus 로고    scopus 로고
    • A new computational model for tresca plasticity at finite strains with an optimal parametrization in the principal space
    • Perić D. de Souza Neto E.A. A new computational model for tresca plasticity at finite strains with an optimal parametrization in the principal space Comput. Methods Appl. Mech. Engrg. 171 3-4 1999 463-489
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.171 , Issue.3-4 , pp. 463-489
    • Perić, D.1    de Souza Neto, E.A.2
  • 24
    • 0032630290 scopus 로고    scopus 로고
    • A re-formulation of the exponential algorithm for finite strain plasticity in terms of Cauchy stresses
    • Meschke G. Liu W.N. A re-formulation of the exponential algorithm for finite strain plasticity in terms of Cauchy stresses Comput. Methods Appl. Mech. Engrg. 173 1-2 1999 167-187
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.173 , Issue.1-2 , pp. 167-187
    • Meschke, G.1    Liu, W.N.2
  • 25
    • 0033874267 scopus 로고    scopus 로고
    • A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient
    • Xiao O.T.B.H. Meyers A. A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient Int. J. Plasticity 16 2 2000 143-177
    • (2000) Int. J. Plasticity , vol.16 , Issue.2 , pp. 143-177
    • Xiao, O.T.B.H.1    Meyers, A.2
  • 26
    • 0016433301 scopus 로고
    • Sur les matériaux standards géneralisés
    • Halphen B. Nguyen Q.S. Sur les matériaux standards géneralisés J. Mécanique 40 1975 39-63
    • (1975) J. Mécanique , vol.40 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 27
    • 0019657966 scopus 로고
    • On nonlocal plasticity
    • Eringen E.C. On nonlocal plasticity Int. J. Engrg. Sci. 19 1981 1461-1474
    • (1981) Int. J. Engrg. Sci. , vol.19 , pp. 1461-1474
    • Eringen, E.C.1
  • 28
    • 0020621576 scopus 로고
    • Theories of nonlocal plasticity
    • Eringen E.C. Theories of nonlocal plasticity Int. J. Engrg. Sci. 21 1983 741-751
    • (1983) Int. J. Engrg. Sci. , vol.21 , pp. 741-751
    • Eringen, E.C.1
  • 29
    • 0026929878 scopus 로고
    • Vistas of nonlocal continuum physics
    • Eringen E.C. Vistas of nonlocal continuum physics Int. J. Engrg. Sci. 30 1992 1551-1565
    • (1992) Int. J. Engrg. Sci. , vol.30 , pp. 1551-1565
    • Eringen, E.C.1
  • 31
    • 0024029187 scopus 로고
    • Nonlocal continuum damage, localization instability and convergence
    • Bažant Z.P. Pijaudier-Cabot G. Nonlocal continuum damage, localization instability and convergence J. Appl. Mech. 55 1988 287-293
    • (1988) J. Appl. Mech. , vol.55 , pp. 287-293
    • Bažant, Z.P.1    Pijaudier-Cabot, G.2
  • 35
    • 0033148319 scopus 로고    scopus 로고
    • Validation and internal length scale determination for a gradient damage model: Application to short glass-fibre-reinforced polypropylene
    • Geers M.G.D. de Borst R. Brekelmans W.A.M. Peerlings R.H.J. Validation and internal length scale determination for a gradient damage model: application to short glass-fibre-reinforced polypropylene Int. J. Solids Struct. 36 1999 2557-2583
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 2557-2583
    • Geers, M.G.D.1    de Borst, R.2    Brekelmans, W.A.M.3    Peerlings, R.H.J.4
  • 36
    • 0034541405 scopus 로고    scopus 로고
    • Phenomenological nonlocal approaches based on implicit gradient-enhanced damage
    • Geers M.G.D. Peerlings R.H.J. Brekelmans W.A.M. de Borst R. Phenomenological nonlocal approaches based on implicit gradient-enhanced damage Acta Mech. 144 1-2 2000 1-15
    • (2000) Acta Mech. , vol.144 , Issue.1-2 , pp. 1-15
    • Geers, M.G.D.1    Peerlings, R.H.J.2    Brekelmans, W.A.M.3    de Borst, R.4
  • 37
    • 0033898567 scopus 로고    scopus 로고
    • Damage and crack modeling in single-edge and double-edge notched concrete beams
    • Geers M.G.D. de Borst R. Peerlings R.H.J. Damage and crack modeling in single-edge and double-edge notched concrete beams Engrg. Fract. Mech. 65 2000 247-261
    • (2000) Engrg. Fract. Mech. , vol.65 , pp. 247-261
    • Geers, M.G.D.1    de Borst, R.2    Peerlings, R.H.J.3
  • 38
    • 0026930049 scopus 로고
    • On the role of gradients in the localization of deformation and fracture
    • Aifantis E.C. On the role of gradients in the localization of deformation and fracture Int. J. Engrg. Sci. 30 1992 1279-1299
    • (1992) Int. J. Engrg. Sci. , vol.30 , pp. 1279-1299
    • Aifantis, E.C.1
  • 39
    • 0026908533 scopus 로고
    • Gradient-dependent plasticity: Formulation and algorithmic aspects
    • de Borst R. Mühlhaus H. Gradient-dependent plasticity: formulation and algorithmic aspects Int. J. Numer. Methods Engrg. 35 1992 521-539
    • (1992) Int. J. Numer. Methods Engrg. , vol.35 , pp. 521-539
    • de Borst, R.1    Mühlhaus, H.2
  • 41
    • 0030283656 scopus 로고    scopus 로고
    • A generalized variable formulation for gradient-dependent softening plasticity
    • Comi C. Perego U. A generalized variable formulation for gradient-dependent softening plasticity Int. J. Numer. Methods Engrg. 39 1996 3731-3755
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 3731-3755
    • Comi, C.1    Perego, U.2
  • 42
    • 0031332095 scopus 로고    scopus 로고
    • A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage
    • Svedberg T. Runesson K. A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage Int. J. Plasticity 13 6-7 1997 669-696
    • (1997) Int. J. Plasticity , vol.13 , Issue.6-7 , pp. 669-696
    • Svedberg, T.1    Runesson, K.2
  • 43
    • 0032154076 scopus 로고    scopus 로고
    • Finite element implementation of gradient plasticity models. Part ii: Gradient-dependent evolution equations
    • Ramaswamy S. Avaras N. Finite element implementation of gradient plasticity models. Part ii: Gradient-dependent evolution equations Comput. Methods Appl. Mech. Engrg. 163 1998 33-53
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.163 , pp. 33-53
    • Ramaswamy, S.1    Avaras, N.2
  • 44
    • 0033189597 scopus 로고    scopus 로고
    • Necking in rectangular tensile bars approximated by a 2-d gradient dependent plasticity model
    • Mikkelsen L.P. Necking in rectangular tensile bars approximated by a 2-d gradient dependent plasticity model Eur. J. Mech. A/Solids 18 1999 805-818
    • (1999) Eur. J. Mech. A/Solids , vol.18 , pp. 805-818
    • Mikkelsen, L.P.1
  • 45
    • 0035827386 scopus 로고    scopus 로고
    • Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity
    • Zervos A. Papanastasiou P. Vardoulakis I. Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity Int. J. Solids Struct. 38 30-31 2001 5081-5095
    • (2001) Int. J. Solids Struct. , vol.38 , Issue.30-31 , pp. 5081-5095
    • Zervos, A.1    Papanastasiou, P.2    Vardoulakis, I.3
  • 46
    • 0035975245 scopus 로고    scopus 로고
    • Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity
    • Liebe T. Steinmann P. Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity Int. J. Numer. Methods Engrg. 51 12 2001 1437-1468
    • (2001) Int. J. Numer. Methods Engrg. , vol.51 , Issue.12 , pp. 1437-1468
    • Liebe, T.1    Steinmann, P.2
  • 49
    • 0032319320 scopus 로고    scopus 로고
    • On nonlocal rate-independent plasticity
    • Nilsson C. On nonlocal rate-independent plasticity Int. J. Plasticity 14 6 1998 551-575
    • (1998) Int. J. Plasticity , vol.14 , Issue.6 , pp. 551-575
    • Nilsson, C.1
  • 50
  • 51
    • 0011112253 scopus 로고    scopus 로고
    • On the numerical modelling of ductile damage with an implicit gradient-enhanced formulation
    • Geers M.G.D. Engelen R.A.B. Ubachs R.L.J.M. On the numerical modelling of ductile damage with an implicit gradient-enhanced formulation Rev. Européenne des éléments Finis 10 2-4 2001 173-193
    • (2001) Rev. Européenne des Éléments Finis , vol.10 , Issue.2-4 , pp. 173-193
    • Geers, M.G.D.1    Engelen, R.A.B.2    Ubachs, R.L.J.M.3
  • 53
    • 0025067820 scopus 로고
    • Coupled theory of damage mechanics and finite strain elasto-plasticity. II. Damage and finite strain plasticity
    • Voyiadjis G.Z. Kattan P. Coupled theory of damage mechanics and finite strain elasto-plasticity. II. Damage and finite strain plasticity Int. J. Engrg. Sci. 28 6 1990 505-524
    • (1990) Int. J. Engrg. Sci. , vol.28 , Issue.6 , pp. 505-524
    • Voyiadjis, G.Z.1    Kattan, P.2
  • 54
    • 0026839780 scopus 로고
    • Plasticity-damage theory for large deformation of solids. I. Theoretical formulation
    • Voyiadjis G. Kattan P. Plasticity-damage theory for large deformation of solids. I. Theoretical formulation Int. J. Engrg. Sci. 45 3 1992 S95-S109
    • (1992) Int. J. Engrg. Sci. , vol.45 , Issue.3
    • Voyiadjis, G.1    Kattan, P.2
  • 55
    • 0028447449 scopus 로고
    • Model for elastoplastic damage at finite strains: Algorithmic issues and applications
    • de Souza Neto E.A. Perić D. Owen D.R.J. Model for elastoplastic damage at finite strains: algorithmic issues and applications Engrg. Comput. 11 3 1994 257-281
    • (1994) Engrg. Comput. , vol.11 , Issue.3 , pp. 257-281
    • de Souza Neto, E.A.1    Perić, D.2    Owen, D.R.J.3
  • 56
    • 0029270782 scopus 로고
    • Large strain constitutive modelling and computation for isotropic, creep elastoplastic damage solids
    • Li X. Large strain constitutive modelling and computation for isotropic, creep elastoplastic damage solids Int. J. Numer. Methods Engrg. 38 5 1995 841-860
    • (1995) Int. J. Numer. Methods Engrg. , vol.38 , Issue.5 , pp. 841-860
    • Li, X.1
  • 57
    • 0030238273 scopus 로고    scopus 로고
    • An implicit projection algorithm for simultaneous flow of plasticity and damage in standard generalized materials
    • Zysset P. Curnier A. An implicit projection algorithm for simultaneous flow of plasticity and damage in standard generalized materials Int. J. Numer. Methods Engrg. 39 18 1996 3065-3082
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , Issue.18 , pp. 3065-3082
    • Zysset, P.1    Curnier, A.2
  • 58
    • 0033225504 scopus 로고    scopus 로고
    • On coupled gradient-dependent plasticity and damage theories with a view to localization analysis
    • de Borst R. Pamin J. Geers M.G.D. On coupled gradient-dependent plasticity and damage theories with a view to localization analysis Eur. J. Mech. A/Solids 18 6 1999 939-962
    • (1999) Eur. J. Mech. A/Solids , vol.18 , Issue.6 , pp. 939-962
    • de Borst, R.1    Pamin, J.2    Geers, M.G.D.3
  • 59
    • 0034325857 scopus 로고    scopus 로고
    • A general framework for continuum damage models. I. Infinitesimal plastic damage models in stress space
    • Armero F. Oiler S. A general framework for continuum damage models. I. Infinitesimal plastic damage models in stress space Int. J. Solids Struct. 37 48-50 2000 7409-7436
    • (2000) Int. J. Solids Struct. , vol.37 , Issue.48-50 , pp. 7409-7436
    • Armero, F.1    Oiler, S.2
  • 60
    • 0034325555 scopus 로고    scopus 로고
    • A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals
    • Armero F. Oiler S. A general framework for continuum damage models. II. Integration algorithms, with applications to the numerical simulation of porous metals Int. J. Solids Struct. 37 48-50 2000 7437-7464
    • (2000) Int. J. Solids Struct. , vol.37 , Issue.48-50 , pp. 7437-7464
    • Armero, F.1    Oiler, S.2
  • 61
    • 0035201077 scopus 로고    scopus 로고
    • A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage
    • Bruhns H.X.O.T. Meyers A. A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage Int. J. Solids Struct. 38 4 2001 657-683
    • (2001) Int. J. Solids Struct. , vol.38 , Issue.4 , pp. 657-683
    • Bruhns, H.X.O.T.1    Meyers, A.2
  • 62
    • 0035372511 scopus 로고    scopus 로고
    • A framework for large strain elastic-plastic damage mechanics based on metric transformations
    • Brünig M. A framework for large strain elastic-plastic damage mechanics based on metric transformations Int. J. Engrg. Sci. 39 9 1999 1033-1056
    • (1999) Int. J. Engrg. Sci. , vol.39 , Issue.9 , pp. 1033-1056
    • Brünig, M.1
  • 63
    • 0001846701 scopus 로고
    • On the thermodynamics of systems with non-locality
    • Edelen D.G.B. Laws N. On the thermodynamics of systems with non-locality Arch. Rat. Mech. Anal. 43 1971 24-35
    • (1971) Arch. Rat. Mech. Anal. , vol.43 , pp. 24-35
    • Edelen, D.G.B.1    Laws, N.2
  • 64
    • 0033293546 scopus 로고    scopus 로고
    • Thermodynamic approach to nonlocal plasticity related variational principles
    • Borino G. Fuschi P. Polizzotto C. Thermodynamic approach to nonlocal plasticity related variational principles J. Appl. Mech. 66 4 1999 952-963
    • (1999) J. Appl. Mech. , vol.66 , Issue.4 , pp. 952-963
    • Borino, G.1    Fuschi, P.2    Polizzotto, C.3
  • 66
    • 85024545548 scopus 로고
    • Elastic-plastic deformations at finite strains
    • Lee E.H. Elastic-plastic deformations at finite strains J. Appl. Mech. 1969 1-6
    • (1969) J. Appl. Mech. , pp. 1-6
    • Lee, E.H.1
  • 67
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • J. J. Delgado Domingers, N. R. Nina, & J. H. Whitelaw (Eds.), London: Macmillan
    • Mandel J. Thermodynamics and plasticity Delgado Domingers J.J. Nina N.R. Whitelaw J.H. Foundations of Continuum Thermo-dynamics 1974 283-304 Macmillan London
    • (1974) Foundations of Continuum Thermo-dynamics , pp. 283-304
    • Mandel, J.1
  • 68
    • 0037372380 scopus 로고    scopus 로고
    • Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity
    • Xiao H. Chen L. Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity Int. J. Solids Struct. 40 2003 1455-1463
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 1455-1463
    • Xiao, H.1    Chen, L.2
  • 69
    • 0030195575 scopus 로고    scopus 로고
    • Some novel developments in finite element procedures for gradient-dependent plasticity and finite elements
    • de Borst R. Pamin J. Some novel developments in finite element procedures for gradient-dependent plasticity and finite elements Int. J. Numer. Methods Engrg. 39 1996 2477-2505
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 2477-2505
    • de Borst, R.1    Pamin, J.2
  • 70
    • 0032671922 scopus 로고    scopus 로고
    • Formulation and computation of geometrically non-linear gradient damage
    • Steinmann P. Formulation and computation of geometrically non-linear gradient damage Int. J. Numer. Methods Engrg. 46 1999 757-779
    • (1999) Int. J. Numer. Methods Engrg. , vol.46 , pp. 757-779
    • Steinmann, P.1
  • 71
    • 0035977399 scopus 로고    scopus 로고
    • The computation of the exponential and logarithmic mappings and their first and second linearizations
    • Ortiz M. Radovitzky A. Repetto E.A. The computation of the exponential and logarithmic mappings and their first and second linearizations Int. J. Numer. Methods Engrg. 52 2001 1341-1441
    • (2001) Int. J. Numer. Methods Engrg. , vol.52 , pp. 1341-1441
    • Ortiz, M.1    Radovitzky, A.2    Repetto, E.A.3
  • 72
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo J.C. Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes Int. J. Numer. Methods Engrg. 33 7 1992 1413-1449
    • (1992) Int. J. Numer. Methods Engrg. , vol.33 , Issue.7 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 73
    • 0032117317 scopus 로고    scopus 로고
    • A general framework for the numerical solution of problems in finite elasto-plasticity
    • Papadopoulus P. Lu J. A general framework for the numerical solution of problems in finite elasto-plasticity Comput. Methods Appl. Mech. Engrg. 159 1998 1-18
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.159 , pp. 1-18
    • Papadopoulus, P.1    Lu, J.2
  • 74
    • 0032627726 scopus 로고    scopus 로고
    • Enhanced solution control for physically and geometrically nonlinear problems. Part I: The subplane control approach
    • Geers M.G.D. Enhanced solution control for physically and geometrically nonlinear problems. Part I: The subplane control approach Int. J. Numer. Methods Engrg. 46 2 1999 177-204
    • (1999) Int. J. Numer. Methods Engrg. , vol.46 , Issue.2 , pp. 177-204
    • Geers, M.G.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.