Abstract
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.
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© 1981 Springer-Verlag Berlin Heidelberg
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Pignolé, M. (1981). On the Construction of the Boundary Integral Representation and Connected Integral Equations for Homogeneous Problems of Plane Linear Elastostatics. In: Brebbia, C.A. (eds) Boundary Element Methods. Boundary Elements, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11270-0_6
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DOI: https://doi.org/10.1007/978-3-662-11270-0_6
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