Boundary Integral Equations For Plane Elastic Problems Posed On Orientations Of Principal Stresses And Displacements
Price
Free (open access)
Transaction
Volume
28
Pages
9
Published
2001
Size
705 kb
Paper DOI
10.2495/BE010011
Copyright
WIT Press
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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