Abstract
An inclusive theory is developed for stresses and displacements due to arbitrarily distributed normal and tangential loads acting on a circular crack in an infinite body. The representation chosen for the boundary conditions leads to solutions expressed as series of Bessel-function integrals of a class quite susceptible to further analysis and to rapid evaluation on modern computers. The load coefficients which appear in all the solution series bear intelligible interpretation, and stress intensity factors are related to them by simple formulas. The inclusiveness and tractability of the solutions qualify this theory to be a useful part of analyses for cracks in finite bodies in which the effective crack loads can assume many patterns.
Résumé
On développe une théorie inclusive pour l'étude des déplacements associés à des charges distribuées de façon arbitraire normalement et tangentiellement sur une fissure circulaire dans un corps infini. La représentation choisie pour les conditions aux limites conduit à des solutions exprimées sous forme d'intégrales de fonction de Bessel d'une classe qui se prète à des analyses subséquentes et à une évaluation rapide par des calculatrices modernes. Les coefficients de charge qui apparaissent dans toutes les séries de solution permettent une interprétation compréhensible, et les facteurs d'intensité de contraintes y sont reliés par des formules simples. Les caractéristiques de ces solutions qualifient cette théorie pour un usage utile à l'analyse de fissures dans les corps finis pour lesquels les charges effectives appliquées aux fissures peuvent présenter diverses configurations.
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Bell, J.C. Stresses from arbitrary loads on a circular crack. Int J Fract 15, 85–104 (1979). https://doi.org/10.1007/BF00115911
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DOI: https://doi.org/10.1007/BF00115911