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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Objectivity, and Objective and Corotational Rate Tensors
verfasst von : Koichi Hashiguchi
Erschienen in: Elastoplasticity Theory
Verlag: Springer Berlin Heidelberg
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Constitutive property of material is independent of observers. Therefore, constitutive equation has to be described by variables obeying the common objective transformation rule described in Section 1.3. State variables, e. g. stress, strain and back stress tensors in the same configuration obey the common coordinate transformation rule. However, the material-time derivatives of tensors in the current configuration do not obey the objective transformation rule, which is influenced by the rigid-body rotation. Then, instead of the material-time derivative of tensors, particular time-derivatives of tensors obeying the objective transformation rule have to be adopted in constitutive equations.