Author(s)

A. N. Galybin

Abstract

Boundary value problems (BVPs) of the plane elasticity posed in terms of the orientation of stresses and displacements are considered. These BVPs can be reduced to a system of homogeneous singular integral equations. Few equivalent systems are presented. They may posses a number of linearly independent solutions. The paper discusses the solvability of these equations and outlines the approach for seeking the number of solutions for the general case of 2D simple- connected domains bounded by smooth closed contours. 1. Introduction A classical boundary value problem (B VP) of the plane elasticity requires one of the following surface conditions to be known on the entire boundary of a domain: (/') s

Keywords