Modeling of Failed Unidirectional Linear Bonded Fiber Composites under Transverse Shear

Abstract

The case of a transverse shear plane with rectilinear adhesion cracks collinear to the X and Y axes, weakened by two doubly periodic circular holes and reinforced fillers, was considered. In the process of solving the problem, the goal is to determine the stress intensity factor at the ends of the cracks. For this purpose, boundary conditions are specified along the contour of the circular holes and filling materials. In this case, the boundary conditions are specified at the edges of the cracks. In the process of solving the problem using functions with complex variables, a system of infinite linear equations is obtained along the contour of the circular holes. On the crack faces, singular integral equations are obtained for the specified boundary conditions. The Gaussian method is used to solve singular integral methods in the system of finite algebraic methods. At the same time, a 3D model was built. It was found that the stresses in the plane in a state of intense deformation have large values at the end of the cracks.