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Boundary Element Method for Linear Elasticity with Conservative Body Forces

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Advanced Finite Element Methods and Applications

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 66))

Abstract

A boundary integral formulation for a mixed boundary value problem in linear elastostatics with a conservative right hand side is considered. A meshless interpolant of the scalar potential of the volume force density is constructed by means of radial basis functions. An exact particular solution to the Lamé system with the gradient of this interpolant as the right hand side is found. Thus, the need of approximating the Newton potential is eliminated. The procedure is illustrated on numerical examples.

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Author information

Authors and Affiliations

  1. Fraunhofer ITWM, Fraunhofer–Platz 1, 67663, Kaiserslautern, Germany

    Heiko Andrä

  2. Institut für Angewandte Mathematik, Universität des Saarlandes, 66041, Saarbrücken, Germany

    Richards Grzhibovskis & Sergej Rjasanow

Authors
  1. Heiko Andrä
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  2. Richards Grzhibovskis
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  3. Sergej Rjasanow
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Correspondence to Heiko Andrä .

Editor information

Editors and Affiliations

  1. Inst. Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, 85579, Germany

    Thomas Apel

  2. Institut für Numerische Mathematik, Technische Universität Graz, Steyrergasse 30, Graz, 8010, Austria

    Olaf Steinbach

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Andrä, H., Grzhibovskis, R., Rjasanow, S. (2013). Boundary Element Method for Linear Elasticity with Conservative Body Forces. In: Apel, T., Steinbach, O. (eds) Advanced Finite Element Methods and Applications. Lecture Notes in Applied and Computational Mechanics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30316-6_13

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  • DOI: https://doi.org/10.1007/978-3-642-30316-6_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30315-9

  • Online ISBN: 978-3-642-30316-6

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