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

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Abstract

A new method of direct numerical evaluation of hypersingular 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 illustrate the accuracy of the proposed method.

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Authors and Affiliations

  1. Lehrstuhl für Technische Mechanik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Egerlandstr. 5, 8520, Erlangen, Germany

    O. Huber, A. Lang & G. Kuhn

Authors
  1. O. Huber
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  2. A. Lang
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  3. G. Kuhn
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Communicated by S. N. Atluri, December 9, 1992

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Huber, O., Lang, A. & Kuhn, G. Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals. Computational Mechanics 12, 39–50 (1993). https://doi.org/10.1007/BF00370484

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  • DOI: https://doi.org/10.1007/BF00370484

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