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Arbitrary point force in arbitrarily oriented transversely isotropic body

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Abstract

The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches.

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  1. Prisoner #167932D, Archambault jail, Ste-Anne-des-Plaines, QC, J0N 1H0, Canada

    V. I. Fabrikant

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  1. V. I. Fabrikant
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Correspondence to V. I. Fabrikant.

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Fabrikant, V.I. Arbitrary point force in arbitrarily oriented transversely isotropic body. Arch Appl Mech 83, 533–548 (2013). https://doi.org/10.1007/s00419-012-0702-9

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  • DOI: https://doi.org/10.1007/s00419-012-0702-9

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