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Analytical integrations of hypersingular kernel in 3D BEM problems

โœ Scribed by Alberto Salvadori

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
231 KB
Volume
190
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

For 3D symmetric Galerkin boundary element method, some results on the analytical integration of the hypersingular kernel in potential problems are presented here. Adopting linear shape functions, inner integrations are performed both for the ยฎnite part of Hadamard and for Lebesgue integrals, working in a local coordinate system; a study on the singularity of the external integral is ยฎnally conducted.

๐Ÿ“œ SIMILAR VOLUMES

Analysis of 3D crack problems by mapping
Analysis of 3D crack problems by mapping semi-analytical BEM
โœ Tao, W. M. ;Cao, Z. Y. ;Ji, X. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 133 KB

By continuous transformation for a domain, this paper develops a new boundary element technique, mapping semi-analytical BEM. Applied to static/dynamic analysis of 3D embedded arbitrarily shaped crack problems, it only needs one-dimensional discretization, so the computational work can be considerab