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General Corotational Rate Tensor and Replacement of Material-time Derivative to Corotational Derivative of Yield Function

K. Hashiguchi1
Kyushu Univ., Hakozaki 6-10-1, Higashi-ku, Fukuoka, JAPAN.

Computer Modeling in Engineering & Sciences 2007, 17(1), 55-62. https://doi.org/10.3970/cmes.2007.017.055

Abstract

Constitutive equation describing the mechanical properties of material has to be formulated in an identical form independent of coordinate systems by which it is described even if there exist any mutual configuration and/or mutual rotation between the material and coordinate systems. This mechanical requirement is attained by describing rate variables as corotational rate tensors with objectivity in constitutive equations in rate form. Besides, in order to use the material-time derivative of yield condition as a consistency condition it has to be replaced to the corotational derivative. In this note a general corotational rate for tensors in arbitrary order having the objectivity is shown first, and further it is verified that the material-derivative of yield condition can be replaced generally to the corotational derivative, i.e. the consistency condition.

Keywords

constitutive equation, corotational rate, elastoplasticity, objectivity.

Cite This Article

Hashiguchi, K. (2007). General Corotational Rate Tensor and Replacement of Material-time Derivative to Corotational Derivative of Yield Function. CMES-Computer Modeling in Engineering & Sciences, 17(1), 55–62.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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