Abstract

The fundamental solution of an infinite three-dimensional, linear, elastic, orthotropic, homogeneous layer subjected to an arbitrary buried source is presented. Although a closed-form solution for the Green's functions (stress and displacement fields due to unit loads) would be of great interest, due to the complex expressions involved, a seminumerical method was used to evaluate the obtained equations. Numerical examples are given to verify the present formulation. These expressions could be used without difficulty as the kernel functions in the boundary integral equation method (BEM). The results are subsequently utilized in a former paper (Wideberg and Benitez, Engineering Analysis with Boundary Elements, 1995, 16, 19–27) to formulate the multilayered orthotropic medium problem by means of transfer matrices.

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