The Boundary Element Method applied in Mindlin Plate Bending Analysis

The present report describes the boundery element method established through Betti's reciprocal teorem for plate bending analysis.

The problem of evaluating the fundamental solution for the Mindlin plate theory is an essential subject in this report. The fundamental solution for a concentrated transverse force and a concentrated bending moment is formulated and solved.

The boundary element method is formulated based on a four node boundary element and tested on some plate bending problems. Furthermore, the boundary element formulation is expanded to include inplane forces in the plate leading to a iterative boundary element scheme.

Finally, the expanded boundary element formulation is tested on some examples including compressional and tensile inplane forces.