On the Construction of the Boundary Integral Representation and Connected Integral Equations for Homogeneous Problems of Plane Linear Elastostatics

  • M. Pignolé
Conference paper
Part of the Boundary Elements book series (BOUNDARY, volume 3)


Four fundamental identities are established. They rest on addition to the interior problem (resp. exterior) of an exterior problem (resp. interior) and consideration of displacement and tension jumps across the boundary, connected with these two problems. Two of these identities express, according to these jumps, displacements and stresses everywhere in both the interior and exterior domains. The two others respectively connect the previous jumps to a boundary displacement or tension linear combination.

We obtain the true boundary integral equations by introducing boundary conditions into these identities.

Two ways of discretisation are shown.


Lution Reso Pentech 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • M. Pignolé
    • 1
  1. 1.Laboratoire de Mécanique PhysiqueUniversité de Bordeaux IFrance

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