Efficient evaluation of plate-half space interaction using contour integrals

摘要

In this paper, the domain integrals resulting from plate -half space interaction are transformed to contour integrals along the plate internal cells' boundaries. The half space sub grade tractions are assumed to have cell-wise constant variation underneath the plate domain. The plate can be modeled using either the thin or the thick plate theory. Whereas, the half space is modeled using the Boussinesq-Cerruti model. Two new sets of equivalent contour integrals Are derived. The first formulation is based on Green's first identity (GFI). Whereas, the second formulation is based on The multiple reciprocity method (MRM). The necessary kernels and the relevant particular solutions are derived and Listed. Two numerical examples are presented to show the accuracy of the present formulation.