Michael Basheleishvili
abstract:
In the paper, two-dimensional boundary value problems of statics
of elastic mixtures are investigated. Using the potential method and the
theory of singular integral equations, existence and uniqueness theorems
are proved. Parallelly, Fredholm type equations are obtained for
all the considered problems. By the aid of these equations, explicit
solutions are constructed for the half-plane, the disk and
the exterior to a disk.
Mathematics Subject Classification: 73C35.
Key words and phrases: Elasticity, elastic mixtures, potential method, integral equations.