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Singular loadings in elasticity problems and singular solutions of the corresponding integral equations

โœ Scribed by N. I. Ioakimidis

Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
395 KB
Volume
15
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

The method of singular integral equations is an efficient method for the formulation and numerical solution of plane and antiplane, static and dynamic, isotropic and anisotropic elasticity problems. Here we consider three cases of singular loadings of the elastic medium: by a force, by a moment and by a loading distribution with a simple pole. These loadings cause corresponding singularities in the right-hand side function and in the unknown function of the integral equation. A method for the numerical solution of the singular integral equation under the above singular loadings is proposed and the validity of this equation at the singular points is investigated.

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