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An explicit tensor expression for the fundamental solutions of a bimaterial space problem

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Abstract

In this paper, by using the method of tensor operation, the fundamental solutions, given in the refernces listed, for a concentrated force in a three-dimensional biphase-infinite solid were expressed in the tensor form, which enables them to be directly applied to the boundary integral equation and the boundary element method for solving elastic mechanics problems of the bimaterial space. The fundamental solutions for Mindlin's problem, Lorentz's problem and homogeneous space problem are involved in the present results.

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Project supported by the National Natural Science Foundation and National P. H. D. Foundation of China

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Mengcheng, C., Renji, T. An explicit tensor expression for the fundamental solutions of a bimaterial space problem. Appl Math Mech 18, 331–340 (1997). https://doi.org/10.1007/BF02457547

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  • DOI: https://doi.org/10.1007/BF02457547

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