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RESEARCH PAPERS

A New Boundary Element Method Formulation for Linear Elasticity

[+] Author and Article Information
N. Ghosh

Department of Mathematics, Pennsylvania State University, University Park, PA

H. Rajiyah, S. Mukherjee

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY

S. Ghosh

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI

J. Appl. Mech 53(1), 69-76 (Mar 01, 1986) (8 pages) doi:10.1115/1.3171741 History: Received February 21, 1985; Revised June 29, 1985; Online July 21, 2009

Abstract

A new boundary element formulation for linear elasticity problems is presented in this paper. The standard formulation for planar problems uses two kernels — one of which is logarithmic singular and the other is 1/r singular, where r is the distance between a source and a field point. The new formulation avoids the use of the strongly singular kernel so that both kernels are now only logarithmic singular. The new formulation has several potential advantages over the standard one, the most significant of which is that it delivers stresses accurately at internal points which are extremely close to the boundary of a body. Numerical results for sample problems, from each of the formulations, are presented and compared here.

Copyright © 1986 by ASME
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