Interface cracks bridged by nanofibers

The model of different materials joint with bridged interface crack is considered. It is assumed that between the crack faces there are nanofibers constraining the crack opening. The size of the zone filled with nanofibers (the bridged zone) can be comparable to the whole crack length. The bond tractions depend on the crack opening at the bridged zone according to the prescribed nonlinear bond deformation law. The system of two singular integral-differential equations with Cauchy-type kernel is used for evaluation of bond tractions for the interface crack bridged by nanofibers. A phenomenological description of the bond deformation law in the crack bridged zone is used. Numerical experiments have been performed to analyze the influence of the bilinear bond deformation law parameters, the size of the crack bridged zone and also the magnitude of the external load on the convergence of the numerical iteration solution of the integral-differential equations system.