Modification of singular integral equations of planar problems of elasticity theory for an arbitrary multiply connected domain with a rectilinear cut

Modified singular integral equations for a planar problem of elasticity theory are formulated for an arbitrary multiply connected domain with a rectilinear cut loaded by means of non-self-balancing stresses. Numerical studies are made for the case of a rectilinear boundary crack emanating from the contour of a curvilinear square symmetric relative to the crack.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 20, pp. 36–44, 1989.