This article is cited in 1 paper

Solving some problems of elasticity theory by the integral equation method for a holomorphic vector

A. A. Shvab

Lavrent'ev Institute of Hydrodynamics SB RAS, Novosibirsk, RUSSIA

Abstract: Under study are some problems of elasticity theory with nonclassical boundary value conditions. We assume that the load and displacement vectors are given on a part of the boundary, while on the other parts of the boundary, the load vector or the displacement vector may be given separately, and no conditions are imposed on the remaining part of the surface (of some nonzero measure). We consider the questions of uniqueness for the solutions to these problems. Solving the nonclassical problems is reduced to a system of singular integral equations for a holomorphic vector.

Keywords: elasticity theory, inverse problems, integral equations.

UDC: 539.3

Received: 18.03.2010

 English version: Journal of Applied and Industrial Mathematics, 2012, 6:2, 248–255

Bibliographic databases:

•