DYNAMICAL ANALOGY OF THE SOMIGLIANA’S FORMULA FOR SOLUTION OF NONSTATIONARY BOUNDARY VALUE PROBLEMS FOR PIEZOELASTIC MEDIA

Abstract

Hyperbolic - elliptical systems, which for dynamic of piezoelastic media are typical, are considered. Dynamical analogy of the Somigliana’s formula for solution of nonstationary boundary value problems for piezoelastic media are constructed. This formula allowed to obtained displacements, tensions and electric field intensity if initial values and boundary displacements, surface forces, electric potential, charge flux density are known.