In a composite material in which two dissimilar half-planes are bonded by a nonhomogeneous elastic layer, a crack is situated at the interface between the layer and one of the two dissimilar half-planes. The stress intensity factors under tension acting perpendicular to the crack are solved. The material properties of the bonding layer vary continuously from those of the lower half-plane to those of the upper half-plane. The stress intensity factors were calculated numerically for selected crack configurations.