M. Basheleishvili and K. Svanadze
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