Analytic calculation of integral-free terms from Somigliana identities

Authors
Gaul, L Schweizer, B
Citation
L. Gaul et B. Schweizer, Analytic calculation of integral-free terms from Somigliana identities, Z ANG MA ME, 78(12), 1998, pp. 823-832
Citations number
10
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
78
Issue
12
Year of publication
1998
Pages
823 - 832
Database
ISI
SICI code
0044-2267(1998)78:12<823:ACOITF>2.0.ZU;2-C
Abstract
New analytical formulas are derived for calculating the integral free terms of both the 3-D Somigliana displacement and the Somigliana stress identity with nan-smooth boundary. The basis of the approach is to incorporate sphe rical geometry. Computation of the formulas is easy because the integration is replaced by simple tensor-function transformations. It is possible to a pply the results to other problems associated with the Boundary Element Met hod.