Abstract
The approximate energy release rate for a crack which extends, or “kinks”, away from its original direction has been computed by finite element analysis using three different methods: stiffness derivative procedure, J integral method and crack closure integral procedure. A case study is presented to compare the computational accuracies. It suggests that a satisfactory approximation can be obtained provided that the ratio of kink length to original crack length, l(0)/a⩽0.04, despite the interaction of the crack tip and knee stress singularities.
Résumé
En utilisant trois méthodes différentes (dérivation de la raideur, intégrale J et intégrale de fermeture de la fissure), on a calculé par éléments finis la vitesse approchée de relaxation de l'energie dans le cas d'une fissure qui diverge ou qui part en arborescence par rapport à sa direction initiale.
On présente une étude de cas de manière à comparer les précisions respectives obtenus dans les calculs.
Cette étude suggère qu'une approximation satisfaisante peut être obtenue, pour autant que le rapport de la longueur déviée à la longueur initiale de la fissure soit inférieure ou égale à 0,04, en dépit de l'interaction entre l'extrémité de la fissure et la singularité de la contrainte.
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Maiti, S.K. Finite element computation of the strain energy release rate for kinking of a crack. Int J Fract 43, 161–174 (1990). https://doi.org/10.1007/BF00018339
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DOI: https://doi.org/10.1007/BF00018339