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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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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