M. Basheleishvili and K. Svanadze

Investigation of Basic Plane Boundary Value Problems of Statics of Elastic Mixtures for Piecewise Homogeneous Isotropic Media

abstract:
Using potentials with complex densities, we reduce solution of basic plane boundary-value and boundary-contact problems of
statics of elastic mixtures for piecewise homogeneous isotropic media to solution of systems of Fredholm linear integral equations of second kind.
The solvability of the integral equations is proved, and the uniqueness and existence theorems are proved for the above-mentioned boundary-contact problems.

Mathematics Subject Classification: 74G30

Key words and phrases: Plane boundary value problem, elastic mixture, Green's function, Fredholm integral equation