A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. part II: computational aspects

[1]  J. Z. Zhu,et al.  The finite element method , 1977 .

[2]  J. C. Rice,et al.  On numerically accurate finite element solutions in the fully plastic range , 1990 .

[3]  N. Aravas.  On the numerical integration of a class of pressure-dependent plasticity models , 1987 .

[4]  J. C. Simo,et al.  On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects , 1987 .

[5]  Jean-Herve Prevost,et al.  Accurate numerical solutions for Drucker-Prager elastic-plastic models , 1986 .

[6]  J. C. Simo,et al.  A return mapping algorithm for plane stress elastoplasticity , 1986 .

[7]  Michael Ortiz,et al.  An analysis of a new class of integration algorithms for elastoplastic constitutive relations , 1986 .

[8]  J. C. Simo,et al.  Variational and projection methods for the volume constraint in finite deformation elasto-plasticity , 1985 .

[9]  E. P. Popov,et al.  Accuracy and stability of integration algorithms for elastoplastic constitutive relations , 1985 .

[10]  R. Glowinski,et al.  Numerical Methods for Nonlinear Variational Problems , 1985 .

[11]  Michael Ortiz,et al.  A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations , 1985 .

[12]  J. C. Simo,et al.  Consistent tangent operators for rate-independent elastoplasticity☆ , 1985 .

[13]  R. G. Whirley,et al.  On the Numerical Implementation of Elastoplastic Models , 1984 .

[14]  S. Nemat-Nasser.  On Finite Plastic Flow of Crystalline Solids and Geomaterials , 1983 .

[15]  L. M. Taylor,et al.  Some computational aspects of large deformation, rate-dependent plasticity problems , 1983 .

[16]  P. Pinsky,et al.  Numerical integration of rate constitutive equations in finite deformation analysis , 1983 .

[17]  Satya N. Atluri,et al.  Objectivity of incremental constitutive relations over finite time steps in computational finite deformation analyses , 1983 .

[18]  J. Nagtegaal.  On the implementation of inelastic constitutive equations with special reference to large deformation problems , 1982 .

[19]  R. D. Krieg,et al.  On the numerical implementation of inelastic time dependent and time independent, finite strain constitutive equations in structural mechanics☆ , 1982 .

[20]  T. Hughes,et al.  Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .

[21]  T. Hughes.  Generalization of selective integration procedures to anisotropic and nonlinear media , 1980 .

[22]  John Argyris,et al.  On the large strain inelastic analysis in natural formulation part I: Quasistatic problems , 1979 .

[23]  R. F. Kulak,et al.  Accurate Numerical Solutions for Elastic-Plastic Models , 1979 .

[24]  I. S. Sandler,et al.  An algorithm and a modular subroutine for the CAP model , 1979 .

[25]  R. D. Krieg,et al.  Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model , 1977 .

[26]  W. Murray.  Numerical Methods for Unconstrained Optimization , 1975 .

[27]  Samuel W. Key,et al.  A variational principle for incompressible and nearly-incompressible anisotropic elasticity , 1969 .

[28]  Karl S. Pister,et al.  On a variational theorem for incompressible and nearly-incompressible orthotropic elasticity , 1968 .

[29]  L. Herrmann.  Elasticity Equations for Incompressible and Nearly Incompressible Materials by a Variational Theorem , 1965 .

[30]  M. Wilkins.  Calculation of Elastic-Plastic Flow , 1963 .

[31]  Y. Ye,et al.  Linear and Nonlinear Programming , 2021, International Series in Operations Research & Management Science.

[32]  T. Hughes.  Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity , 1984 .

[33]  Fe Frans Veldpaus,et al.  On the implementation of finite strain plasticity equations in a numerical model , 1984 .

[34]  J. Nagtegaal,et al.  Some computational aspects of elastic-plastic large strain analysis , 1981 .

[35]  Samuel W. Key,et al.  Dynamic Relaxation Applied to the Quasi-Static, Large Deformation, Inelastic Response of Axisymmetric Solids , 1981 .

[36]  John Argyris,et al.  On the large strain inelastic analysis in natural formulation part II. Dynamic problems , 1980 .

[37]  G. Strang,et al.  The solution of nonlinear finite element equations , 1979 .

[38]  D. M. Tracey,et al.  Computational fracture mechanics , 1973 .