Interaction of the bicial-periodic system and right linear breakout cracks in a composite during a longitudinal shift

An antiregular deformation is considered for an in-equal elastic material consisting of an infinite system of parallel identical circular fiber cylinders covered with a homogeneous cylindrical film uniformly covering the surface of each fiber and a binding medium weakened by a doubly periodic system of rectilinear cracks. The boundaries of the destruction of the composite are determined, which occur by the detachment of the fiber from the matrix, at the fiber-matrix interface. By varying the rigidity of the fiber with respect to the stiffness of the binder medium, the degree of viscosity of the composite as a whole can be controlled. The viscosity fracture equations for the stress intensity factor of a fibrous composite are obtained as a function of the nature of internal structural defects. A mathematical description is given of the strength of the composite both in detachment and in share. As a result, the stress-strain state of the fiber composite weakened by periodic linear cracks is determined.