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Caractérisation des fonctions singulières duales, et calcul du coefficient de singularité de la solution de l’équation de Laplace 3- D dans un domaine fissuré. (Stress intensity factor computation for Laplace equation in a three-dimensional body with a crack). (French. Abridged English version) Zbl 0752.73057
Summary: This note deals with the singular part of the solution of the Laplace equation posed in an axisymmetric cracked body in $$\mathbb{R}^ 3$$. Firstly, the dual singular functions are investigated. They are products of the two-dimensional singular function by solution of another equation. There is an isomorphism between the space of these functions and a trace function space. Secondly, a computational method for the calculation of the stress intensity factor is described.

##### MSC:
 74R99 Fracture and damage 74G70 Stress concentrations, singularities in solid mechanics 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation