Abstract
Path-independent integrals of linear plane elasticity are treated analytically and numerically. The application of the integrals and their physical significance in terms of energy-release rates are illustrated with a closed-form solution of the hole-dislocation-interaction problem. It is shown that the use of the L and M integrals, desides J 1 and J 2, is beneficial to the numerical investigation of cracks under mixed-mode conditions.
Résumé
On traite par voie analytique et par voie numérique les intégrales indépendantes du parcours relatives à Relasticité plane et linéaire.
L'application des intégrales et leur signification physique par rapport aux vitesses de relaxation de l'énergie, sont allistrées par une solution sous forme fermée du problème de l'interaction entre une lacune et une dislocation.
On montre que l'emploi des intégrales L et M en plus de J 1 et J 2 est propice à l'étude numérique des fissures allistrées sous des conditions de mode mixte de sollicitation.
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Kienzler, R., Kordisch, H. Calculation of J 1 and J 2 using the L and M integrals. Int J Fract 43, 213–225 (1990). https://doi.org/10.1007/BF00018343
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DOI: https://doi.org/10.1007/BF00018343