One-block method for computing the generalized stress intensity factors for Laplace’s equation on a square with a slit and on an L-shaped domain

A.A. Dosiyev ^[1] ; S.C. Buranay ^[1]
1. [1] Eastern Mediterranean University, Turkey
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 289, Nº 1 (1 December 2015), 2015, págs. 400-411
Idioma: inglés
DOI: 10.1016/j.cam.2014.11.029
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Resumen
- A highly accurate approximation for the coefficients of the series expansion of the solution of Laplace’s equation around the singular vertex, which are called the generalized stress intensity factors (GSIFs), is obtained by One-Block Method. The method is demonstrated for the slit problem, which has a strong singularity, and for the popular problem on an L-shaped domain. Furthermore, the extremely accurate series segment solution for each of the problems is obtained by taking an appropriate number of calculated GSIFs. Numerical results are presented through tables and figures.