Boundary Element Method for Linear Elasticity with Conservative Body Forces

  • Heiko Andrä
  • Richards Grzhibovskis
  • Sergej Rjasanow
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 66)


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.


Boundary Value Problem Radial Basis Function Body Force Boundary Element Method Linear Elasticity 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Heiko Andrä
    • 1
  • Richards Grzhibovskis
    • 2
  • Sergej Rjasanow
    • 2
  1. 1.Fraunhofer ITWMKaiserslauternGermany
  2. 2.Institut für Angewandte MathematikUniversität des SaarlandesSaarbrückenGermany

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