Abstract
The problem of a slightly non-collinear, quasi-static crack growth in a finite brittle solid is examined. A solution method which accounts for the finite geometry and the applied boundary conditions is presented. The approach uses the results of the first order perturbation solution for non-collinear crack extension from the tip of a semi-infinite straight crack, in an alternating solution scheme which takes into account the effect of the finite geometry and the boundary conditions in an iterative manner. For illustration, a slightly slanted Griffith crack under biaxial loading is examined.
Résumé
On examine le problème de la croissance d'une fissure quasi statique et légèrement non-colinéaire dans un solide fragile fini. On présente une solution qui tient compte de la géométrie finie et des conditions appliquées aux limites. L'approche utilise les résultats d'une solution de perturbation de premier ordre pour l'extension d'une fissure non-colinéaire à partir de l'extrémité d'une fissure droite semi-infinie, suivant le schéma d'une solution alternative qui tient compte de l'effet d'une géométrie finie et des conditions aux limites dans une approche itérative. A titre d'illustration, on examine le cas d'une fissure de Griffith légèrement inclinée et soumise à contrainte biaxiale.
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Sumi, Y., Nemat-Nasser, S. & Keer, L.M. On crack branching and curving in a finite body. Int J Fract 21, 67–79 (1983). https://doi.org/10.1007/BF01134200
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DOI: https://doi.org/10.1007/BF01134200