Analysis of the singularity for the vertical contact problem of line crack-inclusion

Taking the short-fiber composite materials as engineering back-ground, util izing the existing basic solutions of single inclusion and single crack, th e plane problem of vertical contact interactions between line crack and rig id line inclusion in infinite plane (matrix) from the viewpoint of crack fr acture mechanics is studied. According to boundary conditions, a set of sta ndard Cauchy-type singular integral equations of the problem is obtainable. Besides, singular indexes, stresses and stress intensity factors around th e contact point are expressed. Numerical examples are given to provide refe rences to engineering.