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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