Author(s)

G. S. A. Fam & Y. F. Rashed

Abstract

Treatment of body forces in the method of fundamental solutions for three dimensional elasticity G. S. A. ~ a r n ' , & Y. F. ~ a s h e d ~ I Wessex Institute of Technology, Southampton 2 Dept. of Structural Engineering, Cairo University, Giza, Egypt. Abstract This paper presents a technique to treat gravitational body loading in three dimensional elasticity problems using the Method of Fundamental Solution. The presented method is based on deriving new set of particular solution corresponding to such loading. The expressions for these particular solutions are derived and given explicitly. Two examples are tested using this formulationand their results confirm the validity of the presented technique. 1 Introduction Among the numerical methods used nowadays, the BEM proved to be efficient and less expensive in the computing lime. Meanwhile, one of its main drawbacks is the complicated mathematics and numerical integrations that it involves. However, an indirect discrete boundary method, which

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