Abstract：Based on the fundamental equations of peizoelasticity of quasicrystal materials, by using the symmetry operations of point groups, the linear piezoelasticity behavior of one-dimensional hexagonal quasicrystals is investigated, the control equations of anti-plane problems are derived, variable function method and the technique of conformal mapping in the anti-plane problem of a lip shape cracks of piezoelectricity of one-dimensional hexagonal quasicrystals is adopted. By using Cauchy integral formula, the analytical expressions of the field intensity factors and the mechanical strain energy release rate were presented with the assumption that the crack were electrically impermeable.
2015, Vol. 36 
