On one method of constructing the cauchy kernel of the singular integral equation for clarifie the stress-strain state of the wedge system under anti-plane deformation

An analytical approach to the construction of a singular integral equation (SIE) with Cauchy kernel is proposed, which makes it possible clarify stress-strain state multi-wedge system loaded radial cracks. This based on use theory residues and clarification solutions periodicity characteristic equation. It illustrated example SIE for two-wedge interfacial crack under conditions anti-plane deformation. For particular cases geometric mechanical parameters system, values necessary constructing such an were calculated.