CONTACT PROBLEMS OF PLANE ELASTICITY THEORY AND RELATED BOUNDARY VALUE PROBLEMS OF FUNCTION THEORY

In the work the boundary value problems of the theory of analytic functions with displacement are considered, namely: Carle man type problems with continuous and unbounded coefficients for strip and circular ring, the Riemann Hilbert problems for doubly connected domains and discontinuous coefficients for ring. The contact problems of the elasticity theory for unbounded (isotropic, anisotropic and piecewisehomogeneous) domains with rectilinear boundaries with elastic fastening are investigated. The boundary value problems of plane theory of elasticity for anisotropic domains with cracks and inclusions are studied as well as the third basic and mixed boundary value problems for doubly-connected domains. The methods of analytic functions, integral transformations and theory of integral equations are applied. The solvability conditions of problems are formulated and proved. New methods of factorization are developed and the solutions of problems are represented in explicit form.