Аннотация:An analytical solution has been obtained for a problem of an edge crack between a wedge and half-plane of different elastic isotropic materials with the zero second Dundurs parameter of elastic mismatch. The solution has been obtained with the help of the Mellin transform and by reducing the problem to the matrix Wiener-Hopf problem. The kernel of the problem allowed factorization by Khrapkov’s technique, however for zero second Dundurs parameter only. A particular case of uniform loading applied to the crack faces is considered in detail. Expressions for stress intensity factors for both opening and shear modes are obtained in terms of combinations of three single integrals of algebraic functions.