Diagrams of statistical strength criterion for reinforced composite materials

Abstract

The model of a plate brittle material reinforced with randomly sized and placed rigid rectilinear inclusions that do not interact with each other is considered. The geometric parameters of inclusions (length and orientation) are statistically independent random variables, with certain given laws of probability distribution. Diagrams of statistical strength criterion for such plates are constructed under conditions of comprehensive tension-compression. The diagrams are constructed for plates using a material of a different structural inhomogeneity and Poisson's ratio of an elastic homogeneous matrix. The statistical nature of the scale effect is studied, the intensity of which depends on the type of stress state.

A Probable Approach to Reliability Assessment of Reinforced Plates

“…It should be noted that their nature is almost independent of the type of loading (from η). The revealed regularities were also observed for stochastically defective isotropic plates [22] and orthotropic composite materials [27].…”

“…Graphs were plotted using the Maple 7 computer mathematics package. According to expression (27), Figure 4 demonstrates diagrams of the failure probability under biaxial symmetric compression at a fixed value of Poisson's ratio for different numbers of inclusions. According to expression (27), Figure 4 demonstrates diagrams of the failure probability under biaxial symmetric compression at a fixed value of Poisson's ratio for different numbers of inclusions.…”

“…Figure 3. Probability of failure under uniaxial tension (N = 100 for blue line, N = 50 for red line).According to Expression(27), Figure4demonstrates diagrams of the failure probability under biaxial symmetric compression at a fixed value of Poisson's ratio for different numbers of inclusions.…”