増分弾塑性構成則に用いる亜弾性の応力速度の特性と変形の局所化

Characteristics of objective stress rates used in incremental elastoplastic constitutive law with hypoelasticity and Localization of deformation

荒川 淳平 (Junpei ARAKAWA)

In the framework of finite deformation, stress rates used incremental elastoplastic constitutive model need to be objective. The Jaumann rate of the Cauchy stress is extensively used. However, some problems resulting from the use of the Jaumann rate have been reported. On the other hand, it is known that the choice of the stress rates has no small effect on localization analysis results. In this paper, localization analyses with constitutive relations using several stress rates are conducted. Based on the results their characteristics and applicability are compared and classified, then appropriate stress rates for localization of deformation are proposed.

Key Words : hypoelasticity, objective stress rates, localization of deformation



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