Search

In this work, the hypersingular boundary element formulation for plate bending analysis based on Reissner theory is presented. First order Taylor expansion are used to deal with the strong singularity O(1/r), whereas, rigid body considerations together with the Taylor expansion are used to compute the hypersingular kernels O(1/r2). The plate boundary is discretised into quadratic isoparametric discontinuous boundary elements to satisfy the continuity requirements for the boundary unknowns. Several examples are tested, including thin and thick plates. The results show a good agreement with both the analytical solutions and the corresponding results for the standard displacement boundary element formulation.

The complete fundamental solution due to unit point loads within the half-plane is presented together with its application to the boundary element method. This solution procedure has proved to be highly accurate and computationally more efficient than the analogue implementation of Kelvin fundamental solution for problems concerning the half-plane.