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On the non-singular traction-BIE in elasticity. (English) Zbl 0832.73076
It is shown that the Cauchy principal value interpretations so commonly used in BIE developments are unnecessary. Starting with the Somigliana displacement identity and then continuing with the derivatives of these terms, the authors separate the singular parts of the integrands from the nonsingular ones and show that the integrals of the former type are either vanishing in the case of closed boundary contours or bounded in the case of open curves. Conforming boundary elements are employed, and the source points are located directly at the boundary nodes. In addition to smooth boundaries also corner points are considered, and the formulations with discontinuous boundary tractions and tangential derivatives of the boundary displacement are discussed, too.

74S15 Boundary element methods applied to problems in solid mechanics
74B10 Linear elasticity with initial stresses
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