Anisotropy of the Grüneisen Coefficient Determining the "Thermal" Part of the Pressure in the Equations of State of a Deformable Solid Body.

Modeling of deformation processes under shock loading of a barrier made of single-crystal of zinc is carried out taking into account the anisotropy of the thermal and cold parts of pressure. The anisotropy of the cold part of pressure is determined by different values of the linear compression moduli depending on the direction. The anisotropy of the thermal part of pressure is determined by the anisotropy of the Grüneisen coefficients. Using the example of a single-crystal zinc barrier, it is shown that the use of anisotropic pressure in the mathematical model makes it possible to explain the effect of the absence of the emergence of an elastic precursor earlier than a plastic compression wave on the rear surface of the barrier in the [0001] direction under the conditions of full-scale experiments. Numerical simulation of shock loading of a barrier, made of a single crystal of zinc, by an aluminum impactor was carried out by the dynamic finite element method in a three-dimensional formulation at the Debye temperature. [ABSTRACT FROM AUTHOR]