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Title of Journal: Acta Mechanica

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Abbravation: Acta Mechanica

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Springer Vienna

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DOI

10.1007/bf02171773

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1619-6937

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The general type of finitepart singular integrals

Authors: E G Ladopoulos
Publish Date: 2016/06/11
Volume: 75, Issue: 1-4, Pages: 275-285
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Abstract

A new method is proposed by using some special quadrature rules for the numerical evaluation of the general type of finitepart singular integrals and integral equations with logarithmic singularities In this way the system of such equations can be numerically solved by reduction to a system of linear equations For this reduction the singular integral equation is applied to a number of appropriately selected collocation points on the integration interval and then a numerical integration rule is used for the approximation of the integrals in this equation An application is given to the determination of the intensity of the logarithmic singularity in a simple crack inside an infinite isotropic solid

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