Author(s)

Y. A. Melnikov

Abstract

Computable representations of influence functions for multiply connected Kirchoff plates Y .A. Melnikov Department of Mathematical Sciences Middle Tennessee State University, USA Abstract A modification is proposed of the method of functional equations which is known in solid mechanics for decades as the method of fictitious forces and, in recent days, often referred to as the method of fundamental solutions. The modification is designed to accurately compute influence functions of a point force for Kirchhoff plates containing apertures and rigid inclusions. The resolving potentials are built with the aid of the available Green's functions of the biharmonic equation for appropriate simply shaped regions. The observation and the source points of the potentials occupy different sets, resulting subsequently in functional (integral type) equations with smooth kernels. This approach allows one to obtain components of the stress tensor generated by a point force with the same accuracy level as that

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