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Method of Singular Integral Equations in Application to Problems of the Theory of Elasticity

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Stress Concentration at Notches

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Abstract

This chapter outlines the method of singular integral equations in application to two-dimensional problems of elasticity theory for multiply connected regions with holes and/or cracks. Basics of quadrature method for numerical solution of the singular integral equations on either open or closed contours are considered. This method is illustrated by elasticity theory problem for a plane weakened by either curvilinear crack laying along a parabolic arc or elliptical hole.

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  1. Bialystok University of Technology, Wiejska45C,15-351, Bialystok, Poland

    Mykhaylo P. Savruk & Andrzej Kazberuk

  2. Karpenko Physico-Mechanical Institute of the National Academy of Sciences of Ukraine, 5 Naukova street, Lviv, 79060, Ukraine

    Mykhaylo P. Savruk

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  1. Mykhaylo P. Savruk
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Savruk, M.P., Kazberuk, A. (2017). Method of Singular Integral Equations in Application to Problems of the Theory of Elasticity. In: Stress Concentration at Notches. Springer, Cham. https://doi.org/10.1007/978-3-319-44555-7_1

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