L. Bitsadze

Application of Singular Integral Equations in the Boundary Value Problems of Electroelasticity

The purpose of this paper is to consider the three-dimensional versions of the theory of electroelasticity for a transversally isotropic body. Applying the potential method and the theory of singular integral equations, the normality of singular integral equations corresponding to the boundary value problems of electroelasticity are proved and the symbolic matrix is calculated. The uniqueness and existence theorem for the basic BVPs of electroelasticity are given.