Summary
Green's functions for an infinite three-dimensional elastic solid containing a circular crack are derived in terms of integrals of elementary functions. The solid is assumed to be either isotropic or transversely isotropic (with the crack being parallel to the plane isotropy).
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References
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Karapetian, E., Kachanov, M. Green's functions for the isotropic or transversely isotropic space containing a circular crack. Acta Mechanica 126, 169–187 (1998). https://doi.org/10.1007/BF01172806
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DOI: https://doi.org/10.1007/BF01172806