Dual reciprocity versus Bessel function fundamental solution boundary element methods for the plane strain deformation of a thin plate on an elastic foundation

Abstract

Abstract Two different direct boundary element methods are used to solve an interior Dirichlet problem for the Navier equations describing the plane strain deformation of a thin plate on an elastic foundation. One method uses dual reciprocity with the Kelvin fundamental solution. The other method develops a fundamental solution that takes into account the effective load term resulting from the elastic foundation. Both methods, related topics, and tradeoffs are described. Test problems and a numerical convergence study are included.