Treatment of Body Forces in 2D Elastostatic BEM Using Particular Integrals

[+] Author and Article Information
D. A. Pape, P. K. Banerjee

Department of Civil Engineering, State University of New York at Buffalo, Buffalo, NY 14260

J. Appl. Mech 54(4), 866-871 (Dec 01, 1987) (6 pages) doi:10.1115/1.3173130 History: Received August 15, 1986; Revised April 02, 1987; Online July 21, 2009


A new set of direct and indirect boundary element formulations for two-dimensional elastostatics have been developed. These new formulations differ from currently popular formulations in the treatment of body forces. The method of particular integrals is used resulting in a formulation which requires neither volume nor surface integration to solve the most general body force problem. This formulation is implemented in both direct and indirect boundary element methods using quadratic isoparametric elements. The efficiency and accuracy of this formulation for these two methods are compared for a range of problems. Finally, a multi-region problem with complicated geometry is run in order to show the complete generality of the particular integral method.

Copyright © 1987 by ASME
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