Abstract
An exact closed form solution in terms of elementary functions has been obtained to the governing integral equation of an external circular crack in a transversely isotropic elastic body. The crack is subjected to arbitrary tangential loading applied antisymmetrically to its faces. The recently discovered method of continuity solutions was used here. The solution to the governing integral equation gives the direct relationship between the tangential displacements of the crack faces and the applied loading. Now a complete solution to the problem, with formulae for the field of all stresses and displacements, is possible.
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References
V. I. Fabrikant,Applications of potential theory in mechanics. Selection of new results. Kluwer, Dordrecht 1989.
V. I. Fabrikant, Continuation of some solutions in potential theory and their applications to elastic contact and crack problems.Z. angew. Math. Phys. 44 (1993), 909–922.
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Fabrikant, V.I. External circular crack under arbitrary shear loading. Z. angew. Math. Phys. 47, 717–729 (1996). https://doi.org/10.1007/BF00915271
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DOI: https://doi.org/10.1007/BF00915271