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Volumn 41, Issue 14, 2004, Pages 3771-3791

Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methods

Author keywords

Consistent scheme; Drucker Prager model; Elastoplasticity; Internal symmetry; Pseudo Riemann manifold

Indexed keywords

INTEGRAL EQUATIONS; ITERATIVE METHODS; MAPPING; MATHEMATICAL INSTRUMENTS; NONLINEAR EQUATIONS; RUNGE KUTTA METHODS; STRESS ANALYSIS; TENSORS;

EID: 2442645493     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.02.035     Document Type: Article
Times cited : (29)

References (28)
  • 1
    • 0037436461 scopus 로고    scopus 로고
    • On a new integration scheme for von-Mises plasticity with linear hardening
    • Auricchio F. Beirao da Veiga L.B. On a new integration scheme for von-Mises plasticity with linear hardening Int. J. Numer. Meth. Eng. 56 2003 1375-1396
    • (2003) Int. J. Numer. Meth. Eng. , vol.56 , pp. 1375-1396
    • Auricchio, F.1    Beirao da Veiga, L.B.2
  • 2
    • 0034509464 scopus 로고    scopus 로고
    • A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation
    • Borja R.I. A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation Comput. Meth. Appl. Mech. Eng. 190 2000 1529-1549
    • (2000) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 1529-1549
    • Borja, R.I.1
  • 3
    • 0035793228 scopus 로고    scopus 로고
    • Strain localization in frictional materials exhibiting displacement jumps
    • Borja R.I. Regueiro R.A. Strain localization in frictional materials exhibiting displacement jumps Comput. Meth. Appl. Mech. Eng. 190 2001 2555-2580
    • (2001) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 2555-2580
    • Borja, R.I.1    Regueiro, R.A.2
  • 4
    • 0035157331 scopus 로고    scopus 로고
    • Softening in stress-strain curve for Drucker-Prager non-associated plasticity
    • Bousshine L. Chaaba A. De Saxcé G. Softening in stress-strain curve for Drucker-Prager non-associated plasticity Int. J. Plasticity 17 2001 21-46
    • (2001) Int. J. Plasticity , vol.17 , pp. 21-46
    • Bousshine, L.1    Chaaba, A.2    De Saxcé, G.3
  • 5
    • 0036643385 scopus 로고    scopus 로고
    • Runge-Kutta methods in elastoplasticity
    • Büttner J. Simeon B. Runge-Kutta methods in elastoplasticity Appl. Numer. Math. 41 2002 443-458
    • (2002) Appl. Numer. Math. , vol.41 , pp. 443-458
    • Büttner, J.1    Simeon, B.2
  • 6
    • 0242286165 scopus 로고    scopus 로고
    • A rigorous bound on error in backward-difference elastoplastic time-integration
    • Cocchetti G. Perego U. A rigorous bound on error in backward-difference elastoplastic time-integration Comput. Meth. Appl. Mech. Eng. 192 2003 4909-4927
    • (2003) Comput. Meth. Appl. Mech. Eng. , vol.192 , pp. 4909-4927
    • Cocchetti, G.1    Perego, U.2
  • 7
    • 0000428440 scopus 로고
    • Soil mechanics and plastic analysis or limit design
    • Drucker D.C. Prager W. Soil mechanics and plastic analysis or limit design Quart. Appl. Math. 10 1952 157-165
    • (1952) Quart. Appl. Math. , vol.10 , pp. 157-165
    • Drucker, D.C.1    Prager, W.2
  • 8
    • 0037409474 scopus 로고    scopus 로고
    • A complete stress update algorithm for the non-associated Drucker-Prager model including treatment of the apex
    • Hjiaj M. Fortin J. De Saxcé G. A complete stress update algorithm for the non-associated Drucker-Prager model including treatment of the apex Int. J. Eng. Sci. 41 2003 1109-1143
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 1109-1143
    • Hjiaj, M.1    Fortin, J.2    De Saxcé, G.3
  • 9
    • 0039418933 scopus 로고
    • Integral-equation representations of flow elastoplasticity derived from rate-equation models
    • Hong H.-K. Liou J.-K. Integral-equation representations of flow elastoplasticity derived from rate-equation models Acta Mech. 96 1993 181-202
    • (1993) Acta Mech. , vol.96 , pp. 181-202
    • Hong, H.-K.1    Liou, J.-K.2
  • 10
    • 0000774244 scopus 로고    scopus 로고
    • o(5,1) for perfect elastoplasticity with large deformation and a consistency numerical scheme
    • o(5,1) for perfect elastoplasticity with large deformation and a consistency numerical scheme Int. J. Non-linear Mech. 34 1999 1113-1130
    • (1999) Int. J. Non-linear Mech. , vol.34 , pp. 1113-1130
    • Hong, H.-K.1    Liu, C.-S.2
  • 11
    • 0001051273 scopus 로고    scopus 로고
    • Internal symmetry in bilinear elastoplasticity
    • Hong H.-K. Liu C.-S. Internal symmetry in bilinear elastoplasticity Int. J. Non-linear Mech. 34 1999 279-288
    • (1999) Int. J. Non-linear Mech. , vol.34 , pp. 279-288
    • Hong, H.-K.1    Liu, C.-S.2
  • 12
    • 0034187211 scopus 로고    scopus 로고
    • Internal symmetry in the constitutive model of perfect elastoplasticity
    • Hong H.-K. Liu C.-S. Internal symmetry in the constitutive model of perfect elastoplasticity Int. J. Non-linear Mech. 35 2000 447-466
    • (2000) Int. J. Non-linear Mech. , vol.35 , pp. 447-466
    • Hong, H.-K.1    Liu, C.-S.2
  • 13
    • 0001770579 scopus 로고
    • Numerical implementation of constitutive models: Rate-independent deviatoric plasticity
    • S. Nemat-Nasser, R.J. Asaro, & G.A. Hegemier (Eds.), Dordrecht: Martinus Nijhoff Publishers
    • Hughes T.J.R. Numerical implementation of constitutive models: rate-independent deviatoric plasticity Nemat-Nasser S. Asaro R.J. Hegemier G.A. Theoretical Foundation for Large-scale Computations of Nonlinear Material Behavior 1984 29-63 Martinus Nijhoff Publishers Dordrecht
    • (1984) Theoretical Foundation for Large-scale Computations of Nonlinear Material Behavior , pp. 29-63
    • Hughes, T.J.R.1
  • 14
    • 0025403309 scopus 로고
    • Plane-strain crack-tip fields for pressure-sensitive dilatant materials
    • Li F.Z. Pan J. Plane-strain crack-tip fields for pressure-sensitive dilatant materials J. Appl. Mech. ASME 57 1990 40-49
    • (1990) J. Appl. Mech. ASME , vol.57 , pp. 40-49
    • Li, F.Z.1    Pan, J.2
  • 15
    • 0012820635 scopus 로고    scopus 로고
    • The g-based Jordan algebra and Lie algebra with application to the model of visco-elastoplasticity
    • Liu C.-S. The g-based Jordan algebra and Lie algebra with application to the model of visco-elastoplasticity J. Marine Sci. Technol. 9 2001 1-13
    • (2001) J. Marine Sci. Technol. , vol.9 , pp. 1-13
    • Liu, C.-S.1
  • 16
    • 0035480574 scopus 로고    scopus 로고
    • Cone of non-linear dynamical system and group preserving schemes
    • Liu C.-S. Cone of non-linear dynamical system and group preserving schemes Int. J. Non-linear Mech. 36 2001 1047-1068
    • (2001) Int. J. Non-linear Mech. , vol.36 , pp. 1047-1068
    • Liu, C.-S.1
  • 17
    • 0037249211 scopus 로고    scopus 로고
    • Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticity
    • Liu C.-S. Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticity Int. J. Solids Struct. 40 2003 251-269
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 251-269
    • Liu, C.-S.1
  • 18
    • 0348230808 scopus 로고    scopus 로고
    • A consistent numerical scheme for the von Mises mixed-hardening constitutive equations
    • Liu C.-S. A consistent numerical scheme for the von Mises mixed-hardening constitutive equations Int. J. Plasticity 20 2004 663-704
    • (2004) Int. J. Plasticity , vol.20 , pp. 663-704
    • Liu, C.-S.1
  • 19
    • 1342310532 scopus 로고    scopus 로고
    • Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrations
    • Liu C.-S. Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrations Int. J. Solids Struct. 41 2004 1823-1853
    • (2004) Int. J. Solids Struct. , vol.41 , pp. 1823-1853
    • Liu, C.-S.1
  • 20
    • 0035819814 scopus 로고    scopus 로고
    • Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticity
    • Liu C.-S. Hong H.-K. Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticity Int. J. Solids Struct. 38 2001 2969-2987
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 2969-2987
    • Liu, C.-S.1    Hong, H.-K.2
  • 21
    • 0022678325 scopus 로고
    • Accurate numerical solutions for Drucker-Prager elastic-plastic models
    • Loret B. Prevost J.H. Accurate numerical solutions for Drucker-Prager elastic-plastic models Comput. Meth. Appl. Mech. Eng. 54 1986 259-277
    • (1986) Comput. Meth. Appl. Mech. Eng. , vol.54 , pp. 259-277
    • Loret, B.1    Prevost, J.H.2
  • 22
    • 0027885271 scopus 로고
    • Influence of porosity on plane-strain crack-tip stress fields in elastic-plastic materials
    • Miao Y. Drugan W.J. Influence of porosity on plane-strain crack-tip stress fields in elastic-plastic materials J. Appl. Mech. ASME 60 1993 883-889
    • (1993) J. Appl. Mech. ASME , vol.60 , pp. 883-889
    • Miao, Y.1    Drugan, W.J.2
  • 23
    • 0242584005 scopus 로고    scopus 로고
    • Computational isotropic-workhardening rate-independent elastoplasticity
    • Mukherjee S. Liu C.-S. Computational isotropic-workhardening rate-independent elastoplasticity J. Appl. Mech. ASME 70 2003 644-648
    • (2003) J. Appl. Mech. ASME , vol.70 , pp. 644-648
    • Mukherjee, S.1    Liu, C.-S.2
  • 24
    • 0016102164 scopus 로고
    • On numerically accurate finite element solutions in the fully plastic range
    • Nagtegaal J.C. Parks D.M. Rice J.R. On numerically accurate finite element solutions in the fully plastic range Comput. Meth. Appl. Mech. Eng. 4 1974 153-177
    • (1974) Comput. Meth. Appl. Mech. Eng. , vol.4 , pp. 153-177
    • Nagtegaal, J.C.1    Parks, D.M.2    Rice, J.R.3
  • 25
    • 0022131597 scopus 로고
    • Accuracy and stability of integration algorithms for elastoplastic constitutive relations
    • Ortiz M. Popov E.P. Accuracy and stability of integration algorithms for elastoplastic constitutive relations Int. J. Numer. Meth. Eng. 21 1985 1561-1576
    • (1985) Int. J. Numer. Meth. Eng. , vol.21 , pp. 1561-1576
    • Ortiz, M.1    Popov, E.P.2
  • 26
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • Simo J.C. Taylor R.L. Consistent tangent operators for rate-independent elastoplasticity Comput. Meth. Appl. Mech. Eng. 48 1985 101-118
    • (1985) Comput. Meth. Appl. Mech. Eng. , vol.48 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2
  • 28
    • 0035970473 scopus 로고    scopus 로고
    • Analysis of slip planes in three-dimensional solids
    • Wells G.N. Sluys L.J. Analysis of slip planes in three-dimensional solids Comput. Meth. Appl. Mech. Eng. 190 2001 3591-3606
    • (2001) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 3591-3606
    • Wells, G.N.1    Sluys, L.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.