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Equations of state in materials beyond the assumption of isotropy of volume compressibility

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, , Citation M N Krivosheina and E V Tuch 2018 J. Phys.: Conf. Ser. 1128 012102 DOI 10.1088/1742-6596/1128/1/012102

1742-6596/1128/1/012102

Abstract

The process of elastoplastic deformation is considered for materials whose symmetry of elastic properties is modeled by means of five or more independent elastic constants. In the simulation of shock loading of a zinc single crystal characterized by a transversal isotropy of elastic and plastic properties, it was assumed that there is no volume isotropy of compressibility. Different equations of state are applied in a three-dimensional arrangement in the condition of plastic deformation in the direction of each axis. They reflect the relationship of hydrostatic stress to the degree of compression of the material. It is shown that the application of various equations of state changes the propagation velocity of volume waves and introduces a change in the wave pattern of deformation in anisotropic materials.

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10.1088/1742-6596/1128/1/012102