Research On Fracture Mechanics Of Cubic Piezoelectric Quasicrystals

The discovery of quasicrystal materials gives people a new understanding of the division of solid materials and promote the connection between various disciplines.Quasicrystal materials have many excellent properties because of their special quasi-periodic structure,and has broad prospects in practical engineering applications.However,quasicrystal materials are brittle at room temperature,and the existence of dislocation,crack and other defects makes the research of quasicrystal materials attract much attention.In this paper,the anti-plane elasticity of cubic quasicrystal piezoelectric materials is studied by using complex function method,and the fracture mechanical behavior is described accurately,which provides theoretical reference for the application of cubic quasicrystal piezoelectric materials.The fracture of cubic quasicrystal piezoelectric materials with screw dislocation is studied,the elastic field induced by dislocation is given,and the interaction force between two parallel dislocations is analyzed.The Griffith crack problem and the interaction between a dislocation and a semi-infinite crack are discussed under electrically impermeable boundary conditions.The elastic field at the tip of a semi-infinite crack is obtained under both electrically impermeable and electrically permeable boundary conditions.The half-space problem of a cubic quasicrystal piezoelectric material subjected to a concentrated linear force and containing a screw dislocation is studied.