Kinematics of finite elastoplastic deformations |
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Authors: | A I Golovanov |
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Institution: | 1.Kazan State University,Kazan,Russia |
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Abstract: | In this paper we review various approaches to the decomposition of total strains into elastic and nonelastic (plastic) components
in the multiplicative representation of the deformation gradient tensor. We briefly describe the kinematics of finite deformations
and arbitrary plastic flows. We show that products of principal values of distortion tensors for elastic and plastic deformations
define principal values of the distortion tensor for total deformations. We describe two groups of methods for decomposing
deformations and their rates into elastic and nonelastic components. The methods of the first group additively decompose specially
built tensors defined in a common basis (initial, current, or “intermediate”). The second group implies a certain relation
connecting tensors that describe elastic and plastic deformations. We adduce an example of constructing constitutive relations
for elastoplastic continuums at large deformations from thermodynamic equations. |
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Keywords: | |
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