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.


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