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- W1973581088 abstract "Cauchy-type singular integral equations (SIEs) frequently appear in a variety of elasticity problems and, most often, in crack problems. Here we extend the classical direct numerical methods for the approximate solution of these equations to the semi-analytical/numerical (SAN) environment offered by modern computer algebra systems (CAS). The idea is simply to use Taylor-Maclaurin series in the approximate SAN solution and to reduce the problem to a purely numerical set of systems of linear equations. The approach is illustrated in the classical Lobatto-Chebyshev method with an application to the problem of a periodic array of collinear cracks. Extensive displayed SAN results for the stress intensity factors show the convergence and efficiency of the proposed SAN approach. The cases of other direct methods for SIEs are also directly applicable." @default.
- W1973581088 created "2016-06-24" @default.
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- W1973581088 date "1992-10-01" @default.
- W1973581088 modified "2023-10-14" @default.
- W1973581088 title "Direct Taylor-series solution of singular integral equations with MAPLE" @default.
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- W1973581088 doi "https://doi.org/10.1016/0045-7949(92)90446-7" @default.
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