Axisymmetric elasticity problem of cubic quasicrystalProject supported by the Research Fund of Doctoral Program of Higher Education and National Natural Science Foundation of China.

Abstract

A method for analyzing the elasticity problem of cubic quasicrystal is developed. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. As an example, the solutions of elastic field of cubic quasicrystal with a penny-shaped crack are obtained, and the stress intensity factor and strain energy release rate are determined.