Abstract
The basis of any boundary integral equation (BIE) formulation is rooted in classical elasticity theory as the reciprocal work theorem of Betti (1872) and the application of elastic potentials to satisfy equilibrium by Somigliana (1885). Much of the literature in the past ten years of BIE formulations has made use of the method of weighted residuals. While simple to apply, especially by those who have a finite element background, the method of weighted residuals masks much of the essentials to a full understanding of the strengths and weaknesses of the BIE method. We shall thus take the high road of the classical approach to the BIE method in what follows.
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References
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© 1988 Kluwer Academic Publishers
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Cruse, T.A. (1988). Boundary-Integral Equation Formulation and Solution. In: Boundary Element Analysis in Computational Fracture Mechanics. Mechanics: Computational Mechanics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1385-1_3
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DOI: https://doi.org/10.1007/978-94-009-1385-1_3
Publisher Name: Springer, Dordrecht
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