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

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 require...

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Bibliographic Details
Published in:Journal of applied mechanics 1987-12, Vol.54 (4), p.866-871
Main Authors: Pape, D. A, Banerjee, P. K
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary: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.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.3173130