Problem of stress concentration near two cracks crossing material interface in compound elastic plane (Q2759478)

An elastic plane compounded from different materials occupying domains \(x<0\) and \(x>0\) contains two parallel cracks \(y=-b\), \(-a\leq x\leq a\) and \(y=b\), \(-a\leq x\leq a\) crossing interface of materials. Cracks are under the action of normal pressure applied to their sides. The plane stress problem is considered. By the generalized scheme of integral transforms technique the formulated problem of elasticity is reduced to a system of four singular integral equations. This system is solved using biorthogonal basis systems of vector-functions and vector-polynomials. Effective approximations for stress intensity factors are derived.