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Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals

โœ Scribed by O. Huber; A. Lang; G. Kuhn

Book ID
104744944
Publisher
Springer
Year
1993
Tongue
English
Weight
699 KB
Volume
12
Category
Article
ISSN
0178-7675

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โœฆ Synopsis

A new method of direct numerical evaluation of hypersmgular boundary integrals has been applied to the differentiated form of the Somigliana-identity (hypersingular identity) in 3D-elastostatics. Through this method it is possible to evaluate the stress tensor on the boundary of a complex 3D structure in a very accurate manner by employing the direct boundary element method (BEM). The geometry of the elements and their arrangements over the boundary of the structure are not subjected to any restrictions. Numerical examples allustrate the accuracy of the proposed method.

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