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Investigation of the stochastically defective plates with strength anisotropy limit state

Kvit Roman

Journal of Applied Mathematics and Computational Mechanics

2024

Vol. 23, nr 4

42--55

The algorithm for finding the probability of failure of stochastically defective plates in a flat stress field based on a certain idea about structural rearrangement due to technological deformation processing (extraction) is considered. The plate is isotropic before technological processing, in which defects-cracks, which do not interact with each other, are evenly distributed. Cracks are characterized by the length and angle of orientation relative to the extraction direction, which are statistically independent random variables. The relationship for the failure loading integral probability distribution function of plates with extraction was obtained. The probability of plate failure with strength anisotropy was investigated.