Applied Mathematics and Mechanics

, Volume 20, Issue 6, pp 593–603 | Cite as

The simple shear oscillation and the restrictions to elastic-plastic constitutive relations

  • Chen Liangsen
  • Zhao Xinghua
  • Fu Minfu


Based on the definitions of hardening, softening and ideal plastic behavior of elastic-plastic materials in the true stress tensor space, the phenomena of simple shear oscillation are shown to be relative to the oscillatory occurrence of hardening and softening behavior of elastic-plastic materials, namely the oscillation of hardening behavior, by analyzing a simple model of rigid-plastic materials with kinematical hardening under simple shear deformation. To make the models of elastic-plastic materials realistic, must be satisfied the following conditions: for any constitutive model, its response stresses to any continuous plastic deformation must be non-oscillatory, and there is no oscillation of hardening behavior during the plastic deformation.

Key words

objective rates elastic-plastic constitutive relation simple shear oscillation 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1999

Authors and Affiliations

  • Chen Liangsen
    • 1
  • Zhao Xinghua
    • 2
  • Fu Minfu
    • 1
  1. 1.Institute of Engineering MechanicsUniversity of NanchangNanchangP R China
  2. 2.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiP R China

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