Perevislov

Using a multi-scale homogenization method, a three-level model was developed for ceramic composite materials based on the reaction-bonded SiC. Numerical simulation was performed with the use of the finite-element method for solving a set of local problems over the periodicity cells of three structural levels. Tensor fields of stress concentration were computed in matrices and fillers. A new strength criterion of a matrix and fillers at multi-axis stress state was applied; this criterion takes into account a significant difference (more than ten times) between strength features of ceramics under tension and compression. A model that takes into account a scale effect of the strength of ceramic composites was proposed. Numerical investigation of sequential microstructural destruction of ceramic composites up to the final fracture was conducted. Computations demonstrated that at the presence of a polydisperse structure of ceramics, a change in concentrations of large-scale fractions plays less considerable role than in the case of small particles fraction.