Development of the statistical model failure of orthotropic composite materials

A composite plate (matrix and reinforcing elements) under conditions of plane deformation is considered. According to the elastic properties, the material of the plate is considered orthotropic with uniformly distributed defects-cracks that do not interact with each other. The geometric characteristics of defects are statistically independent random variables – the half-length and the orientation angle between the defect line and the axis of orthotropy with a larger Young’s modulus. The ratio for the failure loading integral probability distribution function of the composite was obtained. The dependencies of the researched composite probability of failure (reliability) for the different number of cracks (plate sizes), different types of loading and various values of the exponential distribution parameter are calculated and investigated graphically.