Abstract
The mode I crack problem in plates under membrane loading and bending is reconsidered. The purpose is to examine certain analytical features of the problem further and to provide some new results. The formulation and the results given by the classical and the Reissner plate theories for through and part-through cracks are compared. For surface cracks the three-dimensional finite element solution is used as the basis of comparison. The solution is obtained and results are given for the crack/contact problem in a plate with a through crack under pure bending and for the crack interaction problem. Also, a procedure is developed to treat the problem of subcritical crack growth and to trace the evolution of the propagating crack.
Résumé
On considère la propagation dynamique en conditions stable de deux fissures parallèles semi-infinies de Mode III, dans un corps quelconque à visco-élasticité linéaire et à caractéristiques infinie, homogène et isotrope.
On suppose exister à l'extrémité de la fissure une zone de rupture de type Barenblatt et on tire une formulation pour la vitesse de relaxation de l'énergie, qui fournit des comparaisons immédiates avec le modèle correspondant pour une fissure simple.
On illustre par des calculs numériques l'influence de la vitesse de la fissure, de la distance séparant les fissures et des propriétés du matériau sur la vitesse de relaxation de l'énergie, dans le cas d'un matériau à comportement parabolique, et dans le cas d'un matériau linéaire standard.
Comme cas limites de l'analyse, on établit les résultats pour des problèmes élastiques et des problèmes visco-élastiques quasi-statiques.
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This work was supported by NSF under the Grant MSM-8613611 and by NASA-Langley under the Grant NAG-1-713.
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Joseph, P.F., Erdogan, F. Surface crack problems in plates. Int J Fract 41, 105–131 (1989). https://doi.org/10.1007/BF00018480
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DOI: https://doi.org/10.1007/BF00018480