The Simple Shear Oscillation and the Restrictions to Elastic-Plastic Constitutive Relations

Chen Liangsen; Zhao Xinghua; Fu Minfu

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(6): 559-568

Chen Liangsen, Zhao Xinghua, Fu Minfu. The Simple Shear Oscillation and the Restrictions to Elastic-Plastic Constitutive Relations[J]. Applied Mathematics and Mechanics, 1999, 20(6): 559-568.

Citation:

Chen Liangsen, Zhao Xinghua, Fu Minfu. The Simple Shear Oscillation and the Restrictions to Elastic-Plastic Constitutive Relations[J]. Applied Mathematics and Mechanics, 1999, 20(6): 559-568.

Citation:

Chen Liangsen, Zhao Xinghua, Fu Minfu. The Simple Shear Oscillation and the Restrictions to Elastic-Plastic Constitutive Relations[J]. Applied Mathematics and Mechanics, 1999, 20(6): 559-568.

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The Simple Shear Oscillation and the Restrictions to Elastic-Plastic Constitutive Relations

1.
Institute of Engineering Mechanics, University of Nanchang, Nanchang 330029, P R China;
2.
Shanghai Institute of Appl Math Mech, Shanghai University, Shanghai 200072, P R China

Received Date: 1998-04-14
Publish Date: 1999-06-15

Abstract

Abstract

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.
- objective rates,
- elastic-plastic constitutive relation,
- simple shear oscillation

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References(9)

References

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