Numerical Determination of the Strength of Nanomodified Ceramics

Abstract

This article is devoted to the issue of numerical modeling of the processes of nonlinear deformation and fracture of nanomodified ceramics. Deformation of an elementary volume with nanotube is carried out on the basis of a three-layer scheme “nanotube - contact layer - ceramic”. Integration of the resolving system of equilibrium equations “nanotube-ceramic” is carried out on the basis of the finite element method. On the basis of the energy approach, a technique has been developed for the efficient determination of the additional energy required to pull out a nanotube from a ceramic solid. The study of the dependence of the ultimate strength of nanomodified ceramics depending on the percentage of nanotubes in the ceramic is carried out. The numerical simulation results are in good agreement with the experimental results. The difference between numerically obtained ultimate strengths and experimental ultimate strengths does not exceed 5%. The developed methods can be used in the practice of designing structures made of nanomodified ceramics.