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Approximate analysis of axisymmetric problems in fracture mechanics with application to a flat toroidal crack

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Abstract

The solution technique of Mossakovskii And Rybka is used to formulate an approximate solution for axisymmetric problems in fracture mechanics. The procedure is then used to determine the stress intensity factor in a flat toroidal crack subjected to internal pressure. The maximum stress intensity factor exists at the inner edge of flat toroidal crack and therefore the crack will always tend to grow into a penny-shaped crack.

Résumé

On utilise la technique proposee par Mossakovskii et Rybba pour formuler une solution approchee aux problemes de mecanique de rupture ou intervient une symetrie axiale. La procedure est ensuite appliquee a la determination du facteur d'intensite des contraintes dans le cas d'une fissure plane et toroldale soumise a pression interne. On constate que le facteur d'intensite des contraintes passe par un maximum au bord interne de la fissure plane et toroidale, ce qui laisse entendre qu'une telle fissure aura toujours tendance a prendre la forme d'une fissure en forme de disque.

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Moss, L.W., Kobayashi, A.S. Approximate analysis of axisymmetric problems in fracture mechanics with application to a flat toroidal crack. Int J Fract 7, 89–99 (1971). https://doi.org/10.1007/BF00236485

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