Deformation and Damage of Composites with Anisotropic Components (Review)

Method of the reliability calculation of orthotropic composite materials with random defects

“…In paper [4] a numerical simulation and analytical probabilistic methods for the reliability evaluation of composite structures [4] are considered. A statistical model describing the associated deformation and damage of composites with porous transverse isotropic and orthotropic components is proposed [5], and the mechanism of micro-damage of composites is considered, provided that the microstructure of the material is non-uniform. The method of the composite materials reliability predicting under tensile conditions is investigated and a statistical analysis of experimental data has been carried out [6].…”

Measures of discontinuities for crystal damaging

“…The scalar parameter with the values within the interval [0;1] can serve as such a measure, whose exact physical and mechanical sense is controversial. Some authors introduce tensor measures of damage which are given by averaging according to the ensemble of microdefects [2][3][4][5][6][7]. In particular, in [7] the microcracks tensor parameter is introduced as the tensor product of two the same unit normal vectors for the microcrack, and the magnitude is supposed to be equal to the volume of the microcrack.…”

Stress State of a Nonthin Transversely Isotropic Plate with a Curved Hole

“…Therefore, following [3,4], we represent the solution of the problem as series in positive powers of the small parameter e: where L p are operators such that modulus ¢ G equal to 5. The problem of determining the effective elastic moduli of composites is addressed, for example, in [14,15]. Table 1 summarizes the values of the hoop stress s JJ / p on the boundary r =1of the hole at the point J = 0, x = 0 for different values of the aspect ratio a b / and relative thickness ( / ... ) b h = 1 5 of the plate.…”