Abstract
Stress-intensity factors, K I and K II, are obtained for a point loaded crack emanating from a circular hole in an infinite plate. A series approach and the Muskhelishvili formulation in the two-dimensional theory of elasticity are used to derive the solution. The applicability of the solution is demonstrated by using it as a Green's function to obtain K I and K II in the case of (1) biaxial tension of an infinite plate and (2) bending of a wide strip.
Résumé
Les facteurs d'intensité de contrainte K I et K II sont obtenus dans le cas d'une fissure émanant d'un trou circulaire dans une plaque infinie et soumis à une charge ponctuelle. On utilise une approche par développement en série et une formulation de Muskhelishvili dans la théorie bi-dimensionnelle de l'élasticité afin de dériver une solution. La possibilité d'appliquer la solution est démontrée en l'utilisant comme une fonction de Green pour obtenir des valeurs de K I et K II dans la cas de: (1) une tension biaxiale sur une plaque infinie et (2) la flexion d'une bande de largeur suffisante.
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Shivakumar, V., Forman, R.G. Green's function for a crack emanating from a circular hole in an infinite sheet. Int J Fract 16, 305–316 (1980). https://doi.org/10.1007/BF00018234
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DOI: https://doi.org/10.1007/BF00018234