Realization of the Characteristics Method with Reference to System of the Movement's Equations of Anisotropic Piezoactive Elastic Medium

Abstract

The present work presents the obtained equation of character- istics (equation of removable discontinuities) for the system of equations of the anisotropic elastic medium motion with consideration of piezoelectric ef- fect. The system of bicharacteristics is built on the basis of the characteristic equation's solution, and this system determines the coordinates of the elastic medium's points, which were reached by the energy of wave perturbation, which is spread from a point nonstationary source, up to an unde¯ned moment of time. There are examples of the construction of the three-dimensional fronts of quasilongitudinal and quasitransversal waves for the piezoelectric crystals, which belong to the cubic and trigonal systems of symmetry.