Simulation of propagation of longitudinal and bulk waves in HCP single crystal in a three-dimensional statement on the example of zinc crystals

摘要

This paper studies a mathematical model of anisotropic hydrostatic stress in the region of elastoplastic deformations in a 3-D formulation. The influence of this hypothesis on the results of numerical modeling of propagation velocity of bulk waves in the region of plastic deformations and the velocity of free surfaces of deformable bodies is determined. This can be demonstrated in the problem of loading by a hydrostatic compression of a spherical body made of an anisotropic material. The propagation velocities of bulk waves change under dynamic loading by hydrostatic compression, and under static loading. Therefore, the final shape of the initially spherical body made of an anisotropic material is determined by applying the hypothesis of bulk isotropy or bulk anisotropy of the stressed state.