Abstract
The quarter-point quadrilateral element is employed with various methods for calculating the stress intensity factor in order to provide guidelines for a “best” method. These methods include displacement extrapolation, J-integral and Griffith's energy calculations, and the stiffness derivative technique. Three geometries are considered: a central crack, a single edge crack and double edge cracks in a rectangular sheet. For these cases, it is observed that the stiffness derivative method yields the most accurate results, whereas displacement extrapolation is the easiest method to implement and still yields reasonable accuracy.
Résumé
On utilise les éléments en quadrilatère quart point dans diverses méthodes de calcul du facteur d'intensité de contrainte, afin de servir de guide pour le choix de la meilleure méthode. Il s'agit notamment des méthodes par extrapolation des déplacements, par calcul d'intégrale J ou d'énergie de Griffith, et par dérivée de la raideur. On considère trois géométries: une fissure centrale, une fissure de bord simple et deux fissures de bord dans une feuille rectangulaire. On observe pour ces trois cas que la méthode de la dérivée de la raideur conduit aux résultats les plus précis; par ailleurs, la méthode d'extrapolation des déplacements est la plus aisée à mettre en oeuvre et conduit néanmoins à une raisonnable exactitude.
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Banks-Sills, L., Sherman, D. Comparison of methods for calculating stress intensity factors with quarter-point elements. Int J Fract 32, 127–140 (1986). https://doi.org/10.1007/BF00019788
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DOI: https://doi.org/10.1007/BF00019788