A model for elastoplastic damage at finite strains: algorithmic issues and applications

This work addresses the computational aspects of a model for elastoplastic damage at finite strains. The model is a modification of a previously established model for large strain elastoplasticity described by Peric et al. which is here extended to include isotropic damage and kinematic hardening. Within the computational scheme, the constitutive equations are numerically integrated by an algorithm based on operator split methodology (elastic predictor—plastic corrector). The Newton—Raphson method is used to solve the discretized evolution equations in the plastic corrector stage. A numerical assessment of accuracy and stability of the integration algorithm is carried out based on iso‐error maps. To improve the stability of the local N—R scheme, the standard elastic predictor is replaced by improvedinitial estimates ensuring convergence for large increments. Several possibilities are explored and their effect on the stability of the N—R scheme is investigated. The finite element method is used in the appr...

[1]  M. Gurtin,et al.  Thermodynamics with Internal State Variables , 1967 .

[2]  J. Rice.  A path-independent integral and the approximate analysis of strain , 1968 .

[3]  En-Jui Lee.  Elastic-Plastic Deformation at Finite Strains , 1969 .

[4]  Sumio Murakami,et al.  A Continuum Theory of Creep and Creep Damage , 1981 .

[5]  Frederick A. Leckie,et al.  Tensorial Nature of Damage Measuring Internal Variables , 1981 .

[6]  Dusan Krajcinovic,et al.  The Continuous Damage Theory of Brittle Materials, Part 1: General Theory , 1981 .

[7]  S. Nemat-Nasser.  On finite deformation elasto-plasticity , 1982 .

[8]  Jean-Louis Chaboche,et al.  Anisotropic creep damage in the framework of continuum damage mechanics , 1984 .

[9]  Jean Lemaitre,et al.  Coupled elasto-plasticity and damage constitutive equations , 1985 .

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

[11]  J. Lemaître.  A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

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

[13]  Anne Hoger,et al.  The stress conjugate to logarithmic strain , 1987 .

[14]  Ahmed Benallal,et al.  An integration algorithm and the corresponding consistent tangent operator for fully coupled elastoplastic and damage equations , 1988 .

[15]  Eugenio Oñate,et al.  Plastic and viscoplastic flow of void‐containing metals. Applications to axisymmetric sheet forming problems , 1988 .

[16]  Klaus-Jürgen Bathe,et al.  A hyperelastic‐based large strain elasto‐plastic constitutive formulation with combined isotropic‐kinematic hardening using the logarithmic stress and strain measures , 1990 .

[17]  L. Anand,et al.  Finite deformation constitutive equations and a time integrated procedure for isotropic hyperelastic—viscoplastic solids , 1990 .

[18]  Jean Lemaitre,et al.  Micro-mechanics of crack initiation , 1990 .

[19]  D. Owen,et al.  Computational model for 3‐D contact problems with friction based on the penalty method , 1992 .

[20]  Djordje Peric,et al.  On consistent stress rates in solid mechanics: Computational implications , 1992 .

[21]  J. C. Simo,et al.  Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory , 1992 .

[22]  D. Owen,et al.  A model for finite strain elasto-plasticity based on logarithmic strains: computational issues , 1992 .

[23]  J. C. Simo,et al.  Associated coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation , 1992 .

[24]  David R. Owen,et al.  Universal anisotropic yield criterion based on superquadric functional representation: Part 1. Algorithmic issues and accuracy analysis , 1993 .

[25]  Djordje Peric,et al.  On a class of constitutive equations in viscoplasticity : formulation and computational issues , 1993 .