WIT Press


Boundary Integral Equations For Plane Elastic Problems Posed On Orientations Of Principal Stresses And Displacements

Price

Free (open access)

Paper DOI

10.2495/BE010011

Volume

28

Pages

9

Published

2001

Size

705 kb

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

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