Dynamic analogues of Green and Gauss’s formulas for unsteady dynamics of anisotropic elastic medium at antiplane deformation

Gulmira K. Zakiryanova

2016

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DOI 10.1063/1.4959764
Data confidence 70 medium
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Abstract

The paper is devoted to the solution of non-stationary boundary value problems (BVP) for an anisotropic elastic medium at antiplane deformation. The solutions in class of shock wave are considered for strong hyperbolic equation which describes the motion of the considered medium. The statement of two initial boundary problems are given. The conditions on the wave fronts are obtained. The energy conservation law and questions of the uniqueness of the solutions in the class of shock waves are considered. Dynamic analogues of Green and Gauss’s formulas constructed and their integral representations obtained.