메뉴 건너뛰기




Volumn 63, Issue 2, 2005, Pages 159-196

Computational issues in large strain elasto-plasticity: An algorithm for mixed hardening and plastic spin

Author keywords

Computational plasticity; Cyclic plasticity; Kinematic hardening; Large strains; Logarithmic strains; Plastic spin

Indexed keywords

ALGORITHMS; DECOMPOSITION; KINEMATICS; LINEARIZATION; NUMERICAL ANALYSIS; PLASTIC FLOW; STRESS ANALYSIS;

EID: 18544373202     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1270     Document Type: Article
Times cited : (48)

References (63)
  • 1
    • 0021570206 scopus 로고
    • On the implementation of finite strain plasticity equations in a numerical model
    • Pittman JFT, Zienkiewicz OC, Wood RD, Alexander JM (eds). Wiley: New York
    • Nagtegaal JC, Veldpaus FE. On the implementation of finite strain plasticity equations in a numerical model. In Numerical Analysis of Forming Processes, Pittman JFT, Zienkiewicz OC, Wood RD, Alexander JM (eds). Wiley: New York, 1984.
    • (1984) Numerical Analysis of Forming Processes
    • Nagtegaal, J.C.1    Veldpaus, F.E.2
  • 3
    • 0021728373 scopus 로고
    • On a large-strain finite-element formulation for elasto-plastic analysis
    • Willam KJ (ed.). Winter annual meeting. ASME: New York
    • Rolph III WD, Bathe KJ. On a large-strain finite-element formulation for elasto-plastic analysis. In Constitutive Equations, Macro and Computational Aspects, Willam KJ (ed.). Winter annual meeting. ASME: New York, 1984; 131-147.
    • (1984) Constitutive Equations, Macro and Computational Aspects , pp. 131-147
    • Rolph III, W.D.1    Bathe, K.J.2
  • 5
    • 0023218643 scopus 로고
    • Studies of finite element procedures-stress solution of a closed elastic strain path with stretching and shearing using the updated Lagrangian Jaumann formulation
    • Kojić M, Bathe KJ. Studies of finite element procedures-stress solution of a closed elastic strain path with stretching and shearing using the updated Lagrangian Jaumann formulation. Computers and Structures 1987; 26:175-179.
    • (1987) Computers and Structures , vol.26 , pp. 175-179
    • Kojić, M.1    Bathe, K.J.2
  • 6
    • 18544374407 scopus 로고
    • A note on the use of the additive decomposition of the strain tensor in finite deformation inelasticity
    • Eterović AL, Bathe KJ. A note on the use of the additive decomposition of the strain tensor in finite deformation inelasticity. Computer Methods in Applied Mechanics and Engineering 1991; 93:31-38.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.93 , pp. 31-38
    • Eterović, A.L.1    Bathe, K.J.2
  • 7
    • 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. Computer Methods in Applied Mechanics and Engineering 1998; 159:1-18.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.159 , pp. 1-18
    • Papadopoulus, P.1    Lu, J.2
  • 8
    • 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. Computer Methods in Applied Mechanics and Engineering 2002; 191:5383-5426.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 5383-5426
    • Miehe, C.1    Apel, N.2    Lambrecht, M.3
  • 9
    • 85024545548 scopus 로고
    • Elastic-plastic deformations at finite strains
    • Lee EH. Elastic-plastic deformations at finite strains. Journal of Applied Mechanics (ASME) 1969; 36:1-6.
    • (1969) Journal of Applied Mechanics (ASME) , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 10
    • 0008528978 scopus 로고
    • Finite-strain elastic-plastic theory with application to plane wave analysis
    • Lee EH, Liu DT. Finite-strain elastic-plastic theory with application to plane wave analysis. Journal of Applied Physics 1967; 38:19-27.
    • (1967) Journal of Applied Physics , vol.38 , pp. 19-27
    • Lee, E.H.1    Liu, D.T.2
  • 11
    • 0000410614 scopus 로고
    • Continuous distributions of dislocations: A new application of the methods of non-Riemannian geometry
    • Bilby BA, Bullough R, Smith E. Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry. Proceedings of the Royal Society of London Series A 1955; 231:263-273.
    • (1955) Proceedings of the Royal Society of London Series A , vol.231 , pp. 263-273
    • Bilby, B.A.1    Bullough, R.2    Smith, E.3
  • 12
    • 0020895305 scopus 로고
    • Micromechanics of crystals and polycrystals
    • Asaro RJ. Micromechanics of crystals and polycrystals. Advances in Applied Mechanics 1983; 23:1-115.
    • (1983) Advances in Applied Mechanics , vol.23 , pp. 1-115
    • Asaro, R.J.1
  • 16
    • 0022076781 scopus 로고
    • A unified approach to finite deformation elastoplasticity based on the use of hyperelastic constitutive equations
    • Simó JC, Ortiz M. A unified approach to finite deformation elastoplasticity based on the use of hyperelastic constitutive equations. Computer Methods in Applied Mechanics and Engineering 1985; 49:221-245.
    • (1985) Computer Methods in Applied Mechanics and Engineering , vol.49 , pp. 221-245
    • Simó, J.C.1    Ortiz, M.2
  • 17
    • 0023964056 scopus 로고
    • A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. Part I: Continuum formulation
    • Part II: Computational aspects. Computer Methods in Applied Mechanics and Engineering 1988; 68:1-31
    • Simó JC. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. Part I: continuum formulation. Computer Methods in Applied Mechanics and Engineering 1988; 66:199-219; Part II: computational aspects. Computer Methods in Applied Mechanics and Engineering 1988; 68:1-31.
    • (1988) Computer Methods in Applied Mechanics and Engineering , vol.66 , pp. 199-219
    • Simó, J.C.1
  • 18
    • 0026898028 scopus 로고
    • Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
    • Simó JC, Miehe C. Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation. Computer Methods in Applied Mechanics and Engineering 1992; 98:41-104.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.98 , pp. 41-104
    • Simó, J.C.1    Miehe, C.2
  • 20
    • 0025401322 scopus 로고
    • Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids
    • Weber G, Anand L. Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids. Computer Methods in Applied Mechanics and Engineering 1990; 79:173-202.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.79 , pp. 173-202
    • Weber, G.1    Anand, L.2
  • 21
    • 0025497179 scopus 로고
    • A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
    • Eterović AL, Bathe KJ. A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures. International Journal for Numerical Methods in Engineering 1990; 30:1099-1114.
    • (1990) International Journal for Numerical Methods in Engineering , vol.30 , pp. 1099-1114
    • Eterović, A.L.1    Bathe, K.J.2
  • 22
    • 0026910667 scopus 로고
    • Algorithms for multiplicative plasticity that preserve the form of the return mappings of the infinitesimal theory
    • Simó JC. Algorithms for multiplicative plasticity that preserve the form of the return mappings of the infinitesimal theory. Computer Methods in Applied Mechanics and Engineering 1992; 99:61-112.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.99 , pp. 61-112
    • Simó, J.C.1
  • 23
    • 0033116048 scopus 로고    scopus 로고
    • A new model for Tresca plasticity at finite strains with an optimal parametrization in the principal space
    • Perić D, de Souza EA. A new model for Tresca plasticity at finite strains with an optimal parametrization in the principal space. Computer Methods in Applied Mechanics and Engineering 1999; 171:463-489.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , pp. 463-489
    • Perić, D.1    de Souza, E.A.2
  • 24
    • 0026904029 scopus 로고
    • A material-independent method for extending stress update algorithms from small strain plasticity to finite plasticity with multiplicative kinematics
    • Cuitino A, Ortiz M. A material-independent method for extending stress update algorithms from small strain plasticity to finite plasticity with multiplicative kinematics. Engineering Computations 1992; 9:437-451.
    • (1992) Engineering Computations , vol.9 , pp. 437-451
    • Cuitino, A.1    Ortiz, M.2
  • 26
    • 0030102344 scopus 로고    scopus 로고
    • A computational framework for a class of fully coupled models for elastoplastic damage at finite strains with reference to the linearization aspects
    • de Souza EA, Perić D. A computational framework for a class of fully coupled models for elastoplastic damage at finite strains with reference to the linearization aspects. Computer Methods in Applied Mechanics and Engineering 1996; 130:179-193.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.130 , pp. 179-193
    • de Souza, E.A.1    Perić, D.2
  • 28
    • 0033115656 scopus 로고    scopus 로고
    • Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
    • Armero F. Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions. Computer Methods in Applied Mechanics and Engineering 1999; 171:205-241.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , pp. 205-241
    • Armero, F.1
  • 29
    • 0022603482 scopus 로고
    • Moderate deformations in extension-torsion of incompressible isotropic elastic materials
    • Anand L. Moderate deformations in extension-torsion of incompressible isotropic elastic materials. Journal of the Mechanics and Physics of Solids 1986; 34:293-304.
    • (1986) Journal of the Mechanics and Physics of Solids , vol.34 , pp. 293-304
    • Anand, L.1
  • 30
    • 0018446469 scopus 로고
    • On H. Hencky's approximate strain-energy function for moderate deformations
    • Anand L. On H. Hencky's approximate strain-energy function for moderate deformations. Journal of Applied Mechanics (ASME) 1979; 46:78-82.
    • (1979) Journal of Applied Mechanics (ASME) , vol.46 , pp. 78-82
    • Anand, L.1
  • 31
    • 0029344265 scopus 로고
    • Some computational issues in large strain elasto-plastic analysis
    • Gabriel G, Bathe KJ. Some computational issues in large strain elasto-plastic analysis. Computers and Structures 1995; 56:249-267.
    • (1995) Computers and Structures , vol.56 , pp. 249-267
    • Gabriel, G.1    Bathe, K.J.2
  • 34
    • 18544384328 scopus 로고    scopus 로고
    • On the theory and numerics of orthotropic elastoplasticity at finite plastic strains
    • Bathe KJ (ed.). Elsevier: Oxford
    • Eidel B, Gruttmann F. On the theory and numerics of orthotropic elastoplasticity at finite plastic strains. In Computational Fluid and Solid Mechanics 2003, Bathe KJ (ed.). Elsevier: Oxford, 2003; 246-248.
    • (2003) Computational Fluid and Solid Mechanics 2003 , pp. 246-248
    • Eidel, B.1    Gruttmann, F.2
  • 35
    • 0022218769 scopus 로고
    • Constitutive equations for hot-working of metals
    • Anand L. Constitutive equations for hot-working of metals. International Journal of Plasticity 1985; 1:213-231.
    • (1985) International Journal of Plasticity , vol.1 , pp. 213-231
    • Anand, L.1
  • 36
    • 0021563688 scopus 로고
    • On the computational significance of the intermediate configuration and hyperelastic relations in finite deformation elastoplasticity
    • Simó JC. On the computational significance of the intermediate configuration and hyperelastic relations in finite deformation elastoplasticity. Mechanics of Materials 1986; 4:439-451.
    • (1986) Mechanics of Materials , vol.4 , pp. 439-451
    • Simó, J.C.1
  • 37
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • Delgado JJ, Nina NR, Whitelaw JH, (eds). Macmillan: London
    • Mandel J. Thermodynamics and plasticity. In Foundations of Continuum Thermodynamics, Delgado JJ, Nina NR, Whitelaw JH, (eds). Macmillan: London, 1974; 283-304.
    • (1974) Foundations of Continuum Thermodynamics , pp. 283-304
    • Mandel, J.1
  • 38
    • 18544387253 scopus 로고    scopus 로고
    • A framework for computational large strain plasticity-anisotropic elasticity, anisotropic yield functions and mixed hardening
    • in preparation
    • Montáns FJ, Bathe KJ. A framework for computational large strain plasticity-anisotropic elasticity, anisotropic yield functions and mixed hardening, in preparation.
    • Montáns, F.J.1    Bathe, K.J.2
  • 39
    • 18544389178 scopus 로고    scopus 로고
    • On the stress integration in large strain elastoplasticity
    • Bathe KJ (ed.). Elsevier: Oxford
    • Montáns FJ, Bathe KJ. On the stress integration in large strain elastoplasticity. In Computational Fluid and Solid Mechanics 2003, Bathe KJ (ed.). Elsevier: Oxford, 2003; 494-497.
    • (2003) Computational Fluid and Solid Mechanics 2003 , pp. 494-497
    • Montáns, F.J.1    Bathe, K.J.2
  • 40
    • 27344447391 scopus 로고
    • Elasto-viscoplasticity: Constitutive modelling and deformation processing
    • Teodosiu C, Raphanel JL, Sidoroff F (eds). Balkerna: Rotterdam
    • Anand L. Elasto-viscoplasticity: constitutive modelling and deformation processing. In Large Plastic Deformations, Teodosiu C, Raphanel JL, Sidoroff F (eds). Balkerna: Rotterdam, 1993.
    • (1993) Large Plastic Deformations
    • Anand, L.1
  • 44
    • 1442291168 scopus 로고    scopus 로고
    • Implicit plane stress algorithm for multilayer J2-plasticity using the Prager-Ziegler translation rule
    • Montáns FJ. Implicit plane stress algorithm for multilayer J2-plasticity using the Prager-Ziegler translation rule. International Journal for Numerical Methods in Engineering 2004; 59:409-418.
    • (2004) International Journal for Numerical Methods in Engineering , vol.59 , pp. 409-418
    • Montáns, F.J.1
  • 47
    • 0030218264 scopus 로고    scopus 로고
    • Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity
    • Miehe C. Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Computer Methods in Applied Mechanics and Engineering 1996; 134:223-240.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.134 , pp. 223-240
    • Miehe, C.1
  • 48
    • 0023170746 scopus 로고
    • A finite element formulation for nonlinear incompressible elastic and inelastic analysis
    • Sussman T, Bathe KJ. A finite element formulation for nonlinear incompressible elastic and inelastic analysis. Computers and Structures 1987; 26:57-409.
    • (1987) Computers and Structures , vol.26 , pp. 57-409
    • Sussman, T.1    Bathe, K.J.2
  • 49
    • 0026867998 scopus 로고
    • Geometrically nonlinear enhanced strain mixed methods and the method of incompatible modes
    • Simó JC, Armero F. Geometrically nonlinear enhanced strain mixed methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering 1992; 33:1413-1449.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1413-1449
    • Simó, J.C.1    Armero, F.2
  • 51
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches: Continuum basis and numerical algorithms
    • Simó JC, Taylor RL. Quasi-incompressible finite elasticity in principal stretches: Continuum basis and numerical algorithms. Computer Methods in Applied Mechanics and Engineering 1991; 85:273-310.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.85 , pp. 273-310
    • Simó, J.C.1    Taylor, R.L.2
  • 54
    • 0020940831 scopus 로고
    • On the effects of plastic rotation in the finite deformation of anisotropic elastoplastic materials
    • Loret B. On the effects of plastic rotation in the finite deformation of anisotropic elastoplastic materials. Mechanics of Materials 1983; 2:287-304.
    • (1983) Mechanics of Materials , vol.2 , pp. 287-304
    • Loret, B.1
  • 56
    • 0025260213 scopus 로고
    • On the microscopic origin of the plastic spin
    • Dafalias YE On the microscopic origin of the plastic spin. Acta Mechanica 1990; 82:31-48.
    • (1990) Acta Mechanica , vol.82 , pp. 31-48
    • Dafalias, Y.E.1
  • 57
    • 0035508257 scopus 로고    scopus 로고
    • Plastic spin associated with a non-normality theory of plasticity
    • Kuroda M, Tvergaard V. Plastic spin associated with a non-normality theory of plasticity. European Journal of Mechanics - A/Solids 2001; 20:893-905.
    • (2001) European Journal of Mechanics - A/Solids , vol.20 , pp. 893-905
    • Kuroda, M.1    Tvergaard, V.2
  • 59
    • 0742307253 scopus 로고    scopus 로고
    • On modelling mixed hardening in computational plasticity
    • Bathe KJ, Montáns FJ. On modelling mixed hardening in computational plasticity. Computers and Structures 2004; 82(6):535-539.
    • (2004) Computers and Structures , vol.82 , Issue.6 , pp. 535-539
    • Bathe, K.J.1    Montáns, F.J.2
  • 61
    • 0000581714 scopus 로고
    • The use of flat ended projectiles for determining yield stress, I: Theoretical considerations
    • Taylor GI. The use of flat ended projectiles for determining yield stress, I: theoretical considerations. Proceedings of the Royal Society of London Series A 1948; 194:289-299.
    • (1948) Proceedings of the Royal Society of London Series A , vol.194 , pp. 289-299
    • Taylor, G.I.1
  • 62
    • 0003874996 scopus 로고
    • The use of flat ended projectiles for determining yield stress, II: Tests on various metallic materials
    • Whiffin AC. The use of flat ended projectiles for determining yield stress, II: tests on various metallic materials. Proceedings of the Royal Society of London Series A 1948; 194:300-322.
    • (1948) Proceedings of the Royal Society of London Series A , vol.194 , pp. 300-322
    • Whiffin, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.