FEM-implementation for two-surface cyclic plastic constitutive model with non-hardening region

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

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  • Hai Qing
  • Xiaoming Liu
  • Wei Yang
  • Jian Lu


Original languageEnglish
Pages (from-to)693-697
Journal / PublicationYingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
Issue number4
Publication statusPublished - Dec 2008
Externally publishedYes


This paper presents a generalized return mapping algorithm for two-surface cyclic plastic constitutive model with a non-hardening region in the framework of the finite element method (FEM). A complete algorithm of the above rate-independent constitutive model is presented under the assumption of small deformation. The use of implicit backward Euler method enables us to integrate the constitutive equations to the form of a single nonlinear algebraic equation, which is solved by the Pegasus method. The consistent tangent operator is obtained by linearizing the return mapping algorithm. Two numerical examples demonstrate the cyclic hardening and softening behavior, as well as the accuracy and robustness of the present algorithm.

Research Area(s)

  • Consistent tangent operator, Cyclic plasticity model, Numerical integration, Return mapping algorithms, Strain nonhardening region