Determination of the stress intensity factor during longitudinal displacement in a composite material reinforced with unidirectional fibers with linear cracks

Abstract

. This article considers a double periodic cage with round plane holes filled with unstressed washers made of an isotropic elastic material, the surface of which is uniformly covered with a homogeneous film. Each fiber and medium (binder) is stretched by two biperiodic linear cracks. Each washer has a centrally located crack, the length of which is less than the diameter of the washer. The introduced stresses and their displacements are expressed by an analytical function. In the process of solving the problem, boundary conditions are set along the contour of round holes, as well as along straight cracks. Thus, on the basis of the boundary conditions, a system of linear algebraic equations is obtained. Their solution is solved by the Gauss method. In the latter case, the stress intensity factor at the crack tips is determined.