Abstract
By adequate choice of a fundamental solution, the singular point of the solution is excluded from the integral equations. The use of a special differential operator yields a well-posed formulation of the system of two integral equations. Moreover, the application of the symmetry principle for biharmonic functions improves the efficiency of the method. Finally, the results are used to compute the coefficients of the William's series (stress intensity factors) which is the eigenfunction expansion of the solution around the singular point.
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The research was supported in part by the Technion VPR Fund-M. R. Saulson Research Fund.
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Rakotch, E., Steinberg, J. Regular and well-posed formulation of the boundary integral method for a singular biharmonic problem. Acta Appl Math 42, 223–247 (1996). https://doi.org/10.1007/BF01064167
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DOI: https://doi.org/10.1007/BF01064167