Abstract
A boundary element approach based on the traction boundary integral equation for elastic problems is presented. The hypersingular and strongly singular integrals appearing in the integral equation are analytically transformed to yield regular or weakly singular integrals which can be numerically evaluated. Regularization of the boundary integrals is done prior to discretization and this process does not require any change of coordinates. In order to satisfy the continuity requirements over the primary variables, collocation points are shifted towards the interior of the elements which are standard continuous quadratic elements. Numerical results obtained for a 3-D fracture mechanics problem show the simplicity and accuracy of the approach.
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References
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© 2001 Springer Science+Business Media Dordrecht
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Dominguez, J., Ariza, M.P. (2001). Hypersingular Formulation for 3-D Fracture Mechanics. A Simple Numerical Approach. In: Burczynski, T. (eds) IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9793-7_8
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DOI: https://doi.org/10.1007/978-94-015-9793-7_8
Publisher Name: Springer, Dordrecht
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