Abstract
A homogeneous infinite isotropic elastic plate contains two symmetrical circular arc cracks of equal radii and a concentric inhomogeneity. The radius of the inhomogeneity is less than that of the circular arc cracks. The plate is subjected to a traction at infinity. The stresses are found within the circular region bounded by the circular arcs, including the inhomogeneity. The problem is solved as a two-dimensional using the complex variable technique. Some numerical results are given to show the effects of the inhomogeneity.
Résumé
Soit une tôle infinie élastique et isotrope comportant deux fissures en arc de cercle symétriques de rayons égaux, ainsi qu'une inhomogénéité concentrique, de rayon moindre que celui des fissures en arc de cercle. La tôle est sujette à traction à l'infini. On détermine les tensions dans la région circulaire, limitée par les arcs de cercle et qui comporte l'inhomogénéité.
Le problème est solutionné en tant que problème à deux dimensions, en recourant à la technique des variables complexes.
Quelques résultats numériques, qui montrent l'influence de l'inhomogénéité, sont fournis.
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Bhargava, R.D., Narayan, R. Circular inhomogeneity and two concentric symmetric circular arc cracks problem in an infinite isotropic elastic plate under tension. Int J Fract 11, 509–520 (1975). https://doi.org/10.1007/BF00033537
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DOI: https://doi.org/10.1007/BF00033537