Abstract
The weight function method is used to calculate stress intensity factors for a semi-elliptical surface crack in a plate exposed to stress gradients.
Starting from a reference load and stress intensity factor an approximate reference displacement field is calculated analytically. The present method allows to calculate stress intensity factors with minimal numerical effort at the deepest point and at the surface. Comparisons with FEM-results from the literature are presented to show satisfying agreement.
Résumé
On présente dans cette étude l'utilisation de la méthode de fonction pondérée pour le calcul des facteurs d'intensité de contraintes relatifs à une fissure semi-elliptique débouchant en surface d'une tôle soumise à des gradients de contrainte.
En partant d'une charge de référence et du facteur d'intensité de contrainte, on calcule par voie analytique un champ de développements moyens de référence.
La méthode proposée permet de calculer les facteurs d'intensité de contraintes avec un minimum de manipulations numériques au point le plus profond et en surface de la fissure. Les résultats auxquels elle conduit sont en accord satisfaisant avec des résultats FEM trouvés dans la littérature.
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Mattheck, C., Morawietz, P. & Munz, D. Stress intensity factor at the surface and at the deepest point of a semi-elliptical surface crack in plates under stress gradients. Int J Fract 23, 201–212 (1983). https://doi.org/10.1007/BF00028823
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DOI: https://doi.org/10.1007/BF00028823