메뉴 건너뛰기




Volumn 155, Issue 3-4, 1998, Pages 325-358

A displacement-like finite element model for J2 elastoplasticity: Variational formulation and finite-step solution

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ELASTOPLASTICITY; ITERATIVE METHODS; LOADS (FORCES); MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; STRAIN; VARIATIONAL TECHNIQUES;

EID: 0032021758     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00171-0     Document Type: Article
Times cited : (11)

References (48)
  • 1
    • 0042352098 scopus 로고
    • Swanson Analysis Systems Inc., Houston, USA
    • Ansys 5.0 (1992), User's Manual: Vol. IV - Theory, Swanson Analysis Systems Inc., Houston, USA.
    • (1992) User's Manual: Vol. IV - Theory , vol.4
  • 2
    • 0002084248 scopus 로고
    • Application of a return map algorithm to plasticity models
    • D.R.J. Owen et al., ed., Pineridge Press, Swansea
    • F. Auricchio, R.L. Taylor and J. Lubliner, Application of a return map algorithm to plasticity models, in: D.R.J. Owen et al., ed., Computational Plasticity, 3rd Int. Conf. (Pineridge Press, Swansea, 1992) 2229-2248.
    • (1992) Computational Plasticity, 3rd Int. Conf. , pp. 2229-2248
    • Auricchio, F.1    Taylor, R.L.2    Lubliner, J.3
  • 4
    • 0042853114 scopus 로고
    • Principi di minimo per la soluzione incrementale dei problemi elastoplastici: Parte I e II
    • Aprile-Maggio
    • M. Capurso, Principi di minimo per la soluzione incrementale dei problemi elastoplastici: Parte I e II, Rend. Acc. Naz. Lincei, XLVI (1969) Aprile-Maggio.
    • (1969) Rend. Acc. Naz. Lincei , vol.46
    • Capurso, M.1
  • 5
    • 34250525668 scopus 로고
    • Incremental elastoplastic analysis and quadratic optimization
    • M. Capurso and G. Maier, Incremental elastoplastic analysis and quadratic optimization, Meccanica V(1) (1970) 107-117.
    • (1970) Meccanica , vol.5 , Issue.1 , pp. 107-117
    • Capurso, M.1    Maier, G.2
  • 6
    • 0025627986 scopus 로고
    • Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening
    • C. Comi and G. Maier, Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening, Eur. J. Mech., A/Solids 9(6) (1990) 563-585.
    • (1990) Eur. J. Mech., A/Solids , vol.9 , Issue.6 , pp. 563-585
    • Comi, C.1    Maier, G.2
  • 7
    • 0025746161 scopus 로고
    • Extremum properties of finite-step solutions in elastoplasticity with nonlinear mixed hardening
    • C. Comi, A. Corigliano and G. Maier, Extremum properties of finite-step solutions in elastoplasticity with nonlinear mixed hardening, Int. J. Solids Struct. 27(8) (1991) 965-981.
    • (1991) Int. J. Solids Struct. , vol.27 , Issue.8 , pp. 965-981
    • Comi, C.1    Corigliano, A.2    Maier, G.3
  • 8
    • 0026852438 scopus 로고
    • Generalized variable finite element modelling and extremum theorems in stepwise holonomic elastoplasticity with internal variables
    • C. Comi, G. Maier and U. Perego, Generalized variable finite element modelling and extremum theorems in stepwise holonomic elastoplasticity with internal variables, Comput. Methods Appl. Mech. Engrg. 96 (1992) 213-237.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.96 , pp. 213-237
    • Comi, C.1    Maier, G.2    Perego, U.3
  • 9
    • 0029271230 scopus 로고
    • A unified approach for variationally consistent finite elements in elastoplasticity
    • C. Comi and U. Perego, A unified approach for variationally consistent finite elements in elastoplasticity, Comput. Methods Appl. Mech. Engrg. 121 (1995) 323-344.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.121 , pp. 323-344
    • Comi, C.1    Perego, U.2
  • 11
    • 0023252856 scopus 로고
    • Numerical techniques for plasticity computations in finite element analysis
    • R.J. Dodds, Numerical techniques for plasticity computations in finite element analysis, Comput. Struct. 26 (1987) 767-779.
    • (1987) Comput. Struct. , vol.26 , pp. 767-779
    • Dodds, R.J.1
  • 13
    • 0041850987 scopus 로고
    • Complementary minimum principles for an elastic-plastic material
    • H.J. Greenberg, Complementary minimum principles for an elastic-plastic material, Quart. Appl. Math. 7 (1949) 85-92.
    • (1949) Quart. Appl. Math. , vol.7 , pp. 85-92
    • Greenberg, H.J.1
  • 14
    • 0016433301 scopus 로고
    • Sur les matériaux standards généralisés
    • B. Halphen and Q.S. Nguyen, Sur les matériaux standards généralisés, J. Mech. 14 (1975) 39-63.
    • (1975) J. Mech. , vol.14 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 15
    • 0027147378 scopus 로고
    • A modified cap model: Closest point solution algorithms
    • G. Hofstetter, J.C. Simo and R.L. Taylor, A modified cap model: closest point solution algorithms, Comput. Struct. 46 (1993) 203-214.
    • (1993) Comput. Struct. , vol.46 , pp. 203-214
    • Hofstetter, G.1    Simo, J.C.2    Taylor, R.L.3
  • 16
    • 0017240971 scopus 로고
    • Implementation of a time dependent plasticity theory into structural computer programs
    • J.A. Stricklin and K.J. Saczalski, eds., ASME, New York
    • R.D. Krieg and S.W. Key, Implementation of a time dependent plasticity theory into structural computer programs, in: J.A. Stricklin and K.J. Saczalski, eds., Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects, AMD-20 (ASME, New York, 1976).
    • (1976) Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects , vol.AMD-20
    • Krieg, R.D.1    Key, S.W.2
  • 17
    • 0017551518 scopus 로고
    • Accuracies of numerical solution methods for elastic-perfectly plastic model
    • ASME
    • R.D. Krieg and D.B. Krieg, Accuracies of numerical solution methods for elastic-perfectly plastic model, J. Pressure Vessel Tech., ASME. 99 (1977) 510-515.
    • (1977) J. Pressure Vessel Tech. , vol.99 , pp. 510-515
    • Krieg, R.D.1    Krieg, D.B.2
  • 20
    • 0029515970 scopus 로고
    • Extremum theorems and a computational algorithm for an internal variable model of elastoplasticity
    • F. Marotti de Sciarra and L. Rosati, Extremum theorems and a computational algorithm for an internal variable model of elastoplasticity, Eur. J. Mech. A/Solids. 14(6) (1995) 843-871.
    • (1995) Eur. J. Mech. A/Solids. , vol.14 , Issue.6 , pp. 843-871
    • Marotti De Sciarra, F.1    Rosati, L.2
  • 21
    • 0039406052 scopus 로고
    • A unified formulation of elastoplastic models by an internal variable approach
    • D.R.J. Owen et al., ed., Pineridge Press, Swansea
    • F. Marotti de Sciarra and L. Rosati, A unified formulation of elastoplastic models by an internal variable approach, in: D.R.J. Owen et al., ed., Computational Plasticity, 4th Int. Conf. (Pineridge Press, Swansea, 1995) 153-164.
    • (1995) Computational Plasticity, 4th Int. Conf. , pp. 153-164
    • Marotti De Sciarra, F.1    Rosati, L.2
  • 23
    • 0024304802 scopus 로고
    • A decomposition method for the integration of the elastic-plastic rate problem
    • H. Matthies, A decomposition method for the integration of the elastic-plastic rate problem, Int. J. Numer. Methods Engrg. 28 (1989) 1-11.
    • (1989) Int. J. Numer. Methods Engrg. , vol.28 , pp. 1-11
    • Matthies, H.1
  • 24
    • 0007807420 scopus 로고
    • On the implementation of inelastic constitutive equations with special reference to large deformation problems
    • J.C. Nagtegaal, On the implementation of inelastic constitutive equations with special reference to large deformation problems, Comput. Methods Appl. Mech. Engrg. 93 (1982) 253-273.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.93 , pp. 253-273
    • Nagtegaal, J.C.1
  • 25
    • 0017444613 scopus 로고
    • On the elastic plastic initial-boundary value problem and its numerical integration
    • Q.S. Nguyen, On the elastic plastic initial-boundary value problem and its numerical integration, Int. J. Numer. Methods Engrg. 11 (1977) 817-832.
    • (1977) Int. J. Numer. Methods Engrg. , vol.11 , pp. 817-832
    • Nguyen, Q.S.1
  • 26
    • 0021466128 scopus 로고
    • A unified approach for displacement, quilibrium, and hybrid finite element models in elasto-plasticity
    • C. Nyssen and P. Beckers, A unified approach for displacement, quilibrium, and hybrid finite element models in elasto-plasticity, Comput. Methods Appl. Mech. Engrg. 44 (1984) 131-151.
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.44 , pp. 131-151
    • Nyssen, C.1    Beckers, P.2
  • 27
    • 0022131597 scopus 로고
    • Accuracy and stability of integration algorithms for elastoplastic constitutive relations
    • M. Ortiz and E.P. Popov, Accuracy and stability of integration algorithms for elastoplastic constitutive relations, Int. J. Numer. Methods Engrg. 21 (1985) 1561-1576.
    • (1985) Int. J. Numer. Methods Engrg. , vol.21 , pp. 1561-1576
    • Ortiz, M.1    Popov, E.P.2
  • 28
    • 0022678405 scopus 로고
    • An analysis of a new class of integration algorithms for elastoplastic constitutive relations
    • M. Ortiz and J.C. Simo, An analysis of a new class of integration algorithms for elastoplastic constitutive relations, Int. J. Numer. Methods Engrg. 23 (1986) 353-366.
    • (1986) Int. J. Numer. Methods Engrg. , vol.23 , pp. 353-366
    • Ortiz, M.1    Simo, J.C.2
  • 31
    • 0026373740 scopus 로고
    • Algorithms for the solution of internal variable problems in plasticity
    • B.D. Reddy and J.B. Martin, Algorithms for the solution of internal variable problems in plasticity, Comput. Methods Appl. Mech. Engrg. 93 (1991) 253-273.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.93 , pp. 253-273
    • Reddy, B.D.1    Martin, J.B.2
  • 32
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 33
    • 0039344780 scopus 로고
    • Variational principles, approximations and discrete formulations in plasticity
    • D.R.J. Owen et al., ed., Pineridge Press, Swansea
    • G. Romano and G. Alfano, Variational principles, approximations and discrete formulations in plasticity, in: D.R.J. Owen et al., ed., Computational Plasticity, 4th Int. Conf., Vol. I, (Pineridge Press, Swansea, 1995) 71-82.
    • (1995) Computational Plasticity, 4th Int. Conf. , vol.1 , pp. 71-82
    • Romano, G.1    Alfano, G.2
  • 34
    • 0027277456 scopus 로고
    • A Variational theory for finite-step elasto-plastic problems
    • G. Romano, L. Rosati and F. Marotti de Sciarra, A Variational theory for finite-step elasto-plastic problems, Int. J. Solids Struct. 30(17) (1993) 2317-2334.
    • (1993) Int. J. Solids Struct. , vol.30 , Issue.17 , pp. 2317-2334
    • Romano, G.1    Rosati, L.2    Marotti De Sciarra, F.3
  • 36
    • 0027701499 scopus 로고
    • Variational principles for a class of finite-step elasto-plastic problems with non-linear mixed hardening
    • G. Romano, L. Rosati and F. Marotti de Sciarra, Variational principles for a class of finite-step elasto-plastic problems with non-linear mixed hardening, Comput. Methods Appl. Mech. Engrg. 109 (1993) 293-314.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.109 , pp. 293-314
    • Romano, G.1    Rosati, L.2    Marotti De Sciarra, F.3
  • 38
    • 0018504869 scopus 로고
    • Accurate numerical solutions for elastic-plastic models
    • ASME
    • H.L. Schreyer, R.F. Kulak and M.M. Kramer, Accurate numerical solutions for elastic-plastic models, J. Pressure Vessel Tech., ASME 101 (1979) 226-234.
    • (1979) J. Pressure Vessel Tech. , vol.101 , pp. 226-234
    • Schreyer, H.L.1    Kulak, R.F.2    Kramer, M.M.3
  • 39
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • J.C. Simo and R.L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Comput. Methods Appl. Mech. Engrg. 48 (1985) 101-118.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.48 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2
  • 40
    • 0022076781 scopus 로고
    • A unified approach to finite deformation elastoplasticity based on the use of hyperelastic constitutive equations
    • J.C. Simo and M. Ortiz, A unified approach to finite deformation elastoplasticity 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
  • 41
    • 46549096707 scopus 로고
    • Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
    • J.C. Simo, R.L. Taylor and K.S. Pister, Variational and projection methods for the volume constraint in finite deformation elasto-plasticity, Comput. Methods Appl. Mech. Engrg. 51 (1985) 177-208.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.51 , pp. 177-208
    • Simo, J.C.1    Taylor, R.L.2    Pister, K.S.3
  • 42
    • 0022678185 scopus 로고
    • A return mapping algorithm for plane stress elastoplasticity
    • J.C. Simo and R.L. Taylor, A return mapping algorithm for plane stress elastoplasticity, Int. J. Numer. Methods Engrg. 22 (1986) 649-670.
    • (1986) Int. J. Numer. Methods Engrg. , vol.22 , pp. 649-670
    • Simo, J.C.1    Taylor, R.L.2
  • 43
    • 0023533519 scopus 로고
    • Strain and stress based continuum damage models Part II: Computational aspects
    • J.C. Simo and J.W. Ju, Strain and stress based continuum damage models Part II: computational aspects, Int. J. Solids Struct. 23(7) (1987) 841-869.
    • (1987) Int. J. Solids Struct. , vol.23 , Issue.7 , pp. 841-869
    • Simo, J.C.1    Ju, J.W.2
  • 44
    • 0024103728 scopus 로고
    • Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
    • J.C. Simo, J.J. Kennedy and S. Govindjee, Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms, Int. J. Numer. Methods Engrg. 26 (1988) 2161-2185.
    • (1988) Int. J. Numer. Methods Engrg. , vol.26 , pp. 2161-2185
    • Simo, J.C.1    Kennedy, J.J.2    Govindjee, S.3
  • 45
    • 0025838442 scopus 로고
    • Non-linear B-stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity
    • J.C. Simo and S. Govindjee, Non-linear B-stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity, Int. J. Numer. Methods Engrg. 31 (1991) 151-176.
    • (1991) Int. J. Numer. Methods Engrg. , vol.31 , pp. 151-176
    • Simo, J.C.1    Govindjee, S.2
  • 46
    • 0026910667 scopus 로고
    • Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
    • J.C. Simo, Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory, Comput. Methods Appl. Mech. Engrg. 99 (1992) 61-112.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , pp. 61-112
    • Simo, J.C.1
  • 47
    • 0000187771 scopus 로고
    • Calculation of elastic-plastic flow
    • Academic Press, New York
    • M.L. Wilkins, Calculation of elastic-plastic flow, Methods of Computational Physics, Vol. 3 (Academic Press, New York, 1964).
    • (1964) Methods of Computational Physics , vol.3
    • Wilkins, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.