Abstract
In this paper some fundamental concentrated loading solutions are derived for a transversely isotropic full space. As a starting point the potential function representation for the elastic field is re-examined in light of a recent result derived by the author. It is shown that expressions for two of the stress components need to be modified from what is given in some of the existing literature. The use of these new expressions is first demonstrated by considering two point loading cases. Subsequent analysis integrates these two point force solutions over finite line segments to obtain solutions for various cases of partial line loading. The ramifications of the two modified stress equations on the partial line loading solutions are also discussed.
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Hanson, M.T. Elastic Fields for Point and Partial Line Loading in Transversely Isotropic Linear Elasticity. Journal of Elasticity 55, 143–162 (1999). https://doi.org/10.1023/A:1007683009120
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DOI: https://doi.org/10.1023/A:1007683009120