New boundary integral equation method formulation for plate bending problems

The indirect Boundary Element Method is employed for static analysis of linear elastic Kirchhoffs bending problems for plates of arbitrary geometry. The objective of this paper is the construction and the numerical implementation of the new boundary integral equations for such boundary value problems. These equations, for unknown source functions continuously distributed over the plate boundary, have tremendous advantages associated with their numerical approximation. Numerical examples illustrate the method and demonstrate its advantages.