Abstract
In this paper a flat plate containing a relatively long and deep part-through crack and subjected to uniform membrane and bending loads is considered. It is assumed that the net ligament and the plate wall in some neighborhood of the crack are fully yielded. In analyzing the problem Reissner's Theory of plate bending is used. The plastic deformations are taken into account by using a plastic strip model. First some elastic results regarding the interaction of two collinear cracks are obtained. The crack opening displacement at various locations in the plate is then calculated for various crack sizes and stress ratios.
Résumé
Dans ce mémoire, on considère une tôle plate comportant une fissure relativement longue et profonde, partiellement tranversante et soumise à une contrainte de membrane uniforme et à des contraintes de flexion. On suppose que le ligament net et les parois de la tôle dans un certain voisinage de la fissure passent complètement en plasticité. On utilise pour l'analyse du problème la théorie de Reissner de la flexion des plaques. Des déformations plastiques sont prises en considération en utilisant un modèle de bande plastique. On obtient en premier lieu certains résultats élastiques concernant l'interaction de deux fissures colinéaires. Ensuite, on calcule le déplacement d'ouverture de la fissure en différents endroits de la plaque et pour diverses dimensions de la fissure et rapports de contrainte.
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This work was supported by the Department of Transportation under the Contract DCT-RC-82007.
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Civelek, M.B., Erdogan, F. Elastic-plastic problem for a plate with a part-through crack under extension and bending. Int J Fract 20, 33–46 (1982). https://doi.org/10.1007/BF00942163
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DOI: https://doi.org/10.1007/BF00942163