Singularités en élasticité. (Singularities in elasticity) (Q918766)
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scientific article; zbMATH DE number 4160218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularités en élasticité. (Singularities in elasticity) |
scientific article; zbMATH DE number 4160218 |
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Singularités en élasticité. (Singularities in elasticity) (English)
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1989
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The main concern of this paper is to prove that the author's methods for the description of singular solutions of Laplace equation in a polygonal domain with inward corners can be extended to equilibrium problems in classical plane elasticity with prescribed body forces and prescribed tractions all over the boundary. The main tool is an explicit representation formula for the singular part of the displacement field. Thus, elegance apart, the method is in some sense ``constructive'', and one wonders whether this might have some computational use.
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solution near corners of a plane polygon
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prescribed traction on boundary
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polyhedron
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singular solutions of Laplace equation
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