Material Symmetry Conjugated Spin and Deformation Tensors for Orthotropic Media.
Autor: | Zubko, I. Yu. |
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Předmět: | |
Zdroj: | AIP Conference Proceedings; 2019, Vol. 2164 Issue 1, p090007-1-090007-6, 6p |
Abstrakt: | A constitutive material spin tensor in the case of purely elastic finite-strain deformation is introduced for a three-dimensional orthotropic media using the minimizing principle applied to obtain the reloaded configuration of the material volume. This material spin explains the rotation of the orthonormal vector frame which coincides with the set of material symmetry axes in the initial configuration of the material volume and uniquely corresponds to a set of these axes in the current configuration although it does not coincide with the latter. This definition allows obtaining a new variant of decomposing any elastic finite-strain motion onto rigid and deformational parts and introducing the corotational rate associated with the material anisotropy. The latter is used for the formulation of the anisotropic rate-type elastic law in the current configuration based on the strain measure which does not belong to the Seth-Hill family. The several exact expressions are obtained for some particular cases of material symmetry and applied motion. [ABSTRACT FROM AUTHOR] |
Databáze: | Complementary Index |
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