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Volumn 167, Issue 1-2, 1998, Pages 75-89

A general approach to the evaluation of consistent tangent operators for rate-independent elastoplasticity

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INTEGRATION; KINEMATICS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

EID: 0032305801     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00110-8     Document Type: Article
Times cited : (20)

References (31)
  • 1
    • 0002084248 scopus 로고
    • Application of a return map algorithm to plasticity models
    • D.R.J. Owen et al., eds., Pineridge
    • [1] F. Auricchio, R.L. Taylor and J. Lubliner, Application of a return map algorithm to plasticity models, in: D.R.J. Owen et al., eds., Computational Plasticity, 3rd Int. Conf. (Pineridge, 1992) 2229-2248.
    • (1992) Computational Plasticity, 3rd Int. Conf. , pp. 2229-2248
    • Auricchio, F.1    Taylor, R.L.2    Lubliner, J.3
  • 3
    • 0007759055 scopus 로고    scopus 로고
    • Closed-form expressions of the consistent tangent operator for isotropic yield criteria of arbitrary type
    • Buenos Aires
    • [3] G. Alfano, L. Rosati and N. Valoroso, Closed-form expressions of the consistent tangent operator for isotropic yield criteria of arbitrary type, Proc. IV World Congress on Computational Mechanics, Buenos Aires, 1998.
    • (1998) Proc. IV World Congress on Computational Mechanics
    • Alfano, G.1    Rosati, L.2    Valoroso, N.3
  • 5
    • 0004236492 scopus 로고
    • The John Hopkins University Press, Baltimore, Maryland
    • [5] G.H. Golub and C.F. Van Loan, Matrix Computations (The John Hopkins University Press, Baltimore, Maryland, 1989).
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 6
    • 0016433301 scopus 로고
    • Sur les materiaux standards generalisse
    • [6] B. Halphen and Q.S. Nguyen, Sur les materiaux standards generalisse, J. Mech. 14 (1975) 39-63.
    • (1975) J. Mech. , vol.14 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 8
    • 0027147378 scopus 로고
    • A modified cap model: Closest point solution algorithms
    • [8] 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
  • 10
    • 0017551518 scopus 로고
    • Accuracies of numerical solutions methods for elastic-perfectly plastic model
    • A.S.M.E.
    • [10] R.D. Krieg and D.B. Krieg, Accuracies of numerical solutions methods for elastic-perfectly plastic model, J. Pressure Vessel Tech., A.S.M.E. 99 (1977) 510-515.
    • (1977) J. Pressure Vessel Tech. , vol.99 , pp. 510-515
    • Krieg, R.D.1    Krieg, D.B.2
  • 11
    • 0003457345 scopus 로고
    • Macmillan Publishing C., New York
    • [11] J. Lubliner, Plasticity Theory (Macmillan Publishing C., New York, 1990).
    • (1990) Plasticity Theory
    • Lubliner, J.1
  • 12
    • 0039406052 scopus 로고
    • A unified formulation of elastoplastic models by an internal variable approach
    • D.R.J. Owen et al., eds., Pineridge
    • [12] 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., eds., Computational Plasticity, 4th Int. Conf. (Pineridge, 1995) 153-164.
    • (1995) Computational Plasticity, 4th Int. Conf. , pp. 153-164
    • Marotti De Sciarra, F.1    Rosati, L.2
  • 13
    • 0040591281 scopus 로고
    • An internal variable approach to the formulation of finite element problems in plasticity
    • J. Hult and J. Lemaitre, eds., Springer-Verlag, Berlin
    • [13] J.B. Martin, An internal variable approach to the formulation of finite element problems in plasticity, in: J. Hult and J. Lemaitre, eds., Physical Non-Linearities in Structural Analysis, (Springer-Verlag, Berlin, 1981).
    • (1981) Physical Non-linearities in Structural Analysis
    • Martin, J.B.1
  • 14
    • 0028401001 scopus 로고
    • A return mapping algorithm for isotropic elastoplasticity
    • [14] A. Matzenmiller and R.L. Taylor, A return mapping algorithm for isotropic elastoplasticity, Int. J. Numer. Methods Engrg. 37 (1994) 813-826.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 813-826
    • Matzenmiller, A.1    Taylor, R.L.2
  • 15
    • 0007807420 scopus 로고
    • On the implementation of inelastic constitutive equations with special reference to large deformation problems
    • [15] 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
  • 16
    • 0022131597 scopus 로고
    • Accuracy and stability of integration algorithms for elastoplastic constitutive relations
    • [16] M. Ortiz and E.P. Popov, Accuracy and stability of integration algorithms for elastoplastic constitutive relations, Int. J. Num. Methods Engrg. 21 (1985) 1561-1576.
    • (1985) Int. J. Num. Methods Engrg. , vol.21 , pp. 1561-1576
    • Ortiz, M.1    Popov, E.P.2
  • 17
    • 0022678405 scopus 로고
    • An analysis of a new class of integration algorithms for elastoplastic constitutive relations
    • [17] 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
  • 19
    • 0025430193 scopus 로고
    • Tangent constitutive matrices for inelastic finite-element analysis
    • [19] H.R. Riggs and G.H. Powell, Tangent constitutive matrices for inelastic finite-element analysis, Int. J. Numer. Methods Engrg. 29 (1990) 1193-1203.
    • (1990) Int. J. Numer. Methods Engrg. , vol.29 , pp. 1193-1203
    • Riggs, H.R.1    Powell, G.H.2
  • 20
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • [20] R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 21
    • 0018504869 scopus 로고
    • Accurate numerical solutions for elastic-plastic models
    • ASME
    • [21] H.L. Schreyer, R.F. Kulak, 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
  • 22
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • [22] J.C. Simo and R.L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Comput. Meth. Appl. Mech. Engrg. 48 (1985) 101-118.
    • (1985) Comput. Meth. Appl. Mech. Engrg. , vol.48 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2
  • 23
    • 0024103728 scopus 로고
    • Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
    • [23] 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
  • 24
    • 0024734699 scopus 로고
    • Complementary mixed finite element formulations for elastoplasticity
    • [24] J.C. Simo, J. Kennedy and R.L. Taylor, Complementary mixed finite element formulations for elastoplasticity, Comput. Methods Appl. Mech. Engrg. 74 (1989) 177-206.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.74 , pp. 177-206
    • Simo, J.C.1    Kennedy, J.2    Taylor, R.L.3
  • 25
    • 0025838442 scopus 로고
    • Non-linear B-stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity
    • [25] 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
  • 26
    • 0022678185 scopus 로고
    • A return mapping algorithm for plane stress elastoplasticity
    • [26] J.C. Simo and R.L. Taylor, A return mapping algorithm for plane stress elastoplasticity, Int. J. Numer. Methods Engrg. 22 (1986) 649-770.
    • (1986) Int. J. Numer. Methods Engrg. , vol.22 , pp. 649-770
    • Simo, J.C.1    Taylor, R.L.2
  • 27
    • 0026910667 scopus 로고
    • Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
    • [27] 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
  • 28
    • 0000905616 scopus 로고
    • Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix
    • [28] J. Sherman, and W.J. Morrison, Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix, Ann. Math. Stat. 20 (1949) 621-629.
    • (1949) Ann. Math. Stat. , vol.20 , pp. 621-629
    • Sherman, J.1    Morrison, W.J.2
  • 29
    • 0000187771 scopus 로고
    • Calculation of elastic-plastic flow
    • Academic Press, New York
    • [29] 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
  • 30
    • 0003742929 scopus 로고
    • Inverting modified matrices
    • Statistic Research Group, Princeton, New Jersey
    • [30] M. Woodbury, Inverting modified matrices, Memorandum 42, Statistic Research Group, Princeton, New Jersey, 1950.
    • (1950) Memorandum 42
    • Woodbury, M.1


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