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Singularités en élasticité. (Singularities in elasticity). (French) Zbl 0706.73013

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.
Reviewer: P.Podio-Guidugli

MSC:

74G70 Stress concentrations, singularities in solid mechanics
74B10 Linear elasticity with initial stresses
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