ON HYPERELASTIC CONDITION OF RATE-FORM ELASTICPLASTIC CONSTITUTIVE LAW AT FINITE DEFORMATION

doi:10.6052/0459-1879-1991-2-1995-834

Article Contents

Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 1991 > 23(2): 248-251

ON HYPERELASTIC CONDITION OF RATE-FORM ELASTICPLASTIC CONSTITUTIVE LAW AT FINITE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(2): 248-251. doi: 10.6052/0459-1879-1991-2-1995-834

Citation:

ON HYPERELASTIC CONDITION OF RATE-FORM ELASTICPLASTIC CONSTITUTIVE LAW AT FINITE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(2): 248-251. doi: 10.6052/0459-1879-1991-2-1995-834

Citation:

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ON HYPERELASTIC CONDITION OF RATE-FORM ELASTICPLASTIC CONSTITUTIVE LAW AT FINITE DEFORMATION

doi: 10.6052/0459-1879-1991-2-1995-834

北京理工大学

Publish Date: 1991-03-25

Abstract

Abstract

It is proved that if the objective stress rate is taken as the Oldroyd rate of the Kirchhoff stress tensor, the integrability condition of the rate-form elastic constitutive law is λ=0, provided that the Lame parameters λ and μ are. constants. This fact renders the rate-form elastic-plastic constitutive law incompatible with the hyperelastic framework in the regime of finite deformation. Several particular situations in which the rate-form elastic con-stitutive laws can be approximately applied to the case ...
- finite deformation,
- constitutive law,
- objective stress rate,
- hyperelasticity