Abstract
This paper presents a double layer potential approach of elastodynamic BIE crack analysis. Our method regularizes the conventional strongly singular expressions for the traction of double layer potential into forms including integrable kernels and 0th, 1st and 2nd order derivatives of the double layer density. The manipulation is systematized by the use of the stress function representation of the differentiated double layer kernel functions. This regularization, together with the use of B-spline functions, is shown to provide accurate numerical methods of crack analysis in 3D time harmonic elastodynamics.
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Nishimura, N., Kobayashi, S. A regularized boundary integral equation method for elastodynamic crack problems. Computational Mechanics 4, 319–328 (1989). https://doi.org/10.1007/BF00301390
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DOI: https://doi.org/10.1007/BF00301390