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Numerical implementation and analysis of a class of metal plasticity models coupled with ductile damage
Author(s) -
Doghri Issam
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620382004
Subject(s) - plasticity , finite element method , class (philosophy) , structural engineering , materials science , computer science , engineering , composite material , artificial intelligence
Abstract This paper deals with a class of rate‐independent metal plasticity models which exhibit non‐linear isotropic hardening, non‐linear kinematic hardening (Chaboche‐Marquis model) and ductile damage (Lemaitre‐Chaboche model). The backward Euler scheme is used to integrate the rate constitutive relations. The non‐linear equations obtained are solved by the Newton method. The consistent tangent operator is obtained by exact linearization of the algorithm. Despite the complexity of the constitutive equations, closed‐form expressions are derived, without any approximations. Analytical, numerical and experimental results are presented and discussed.