压电复合材料中正六边形孔边裂纹反平面问题

基于压电复合材料力学,通过引入合适的数值保角映射函数,运用Stroh公式和复变函数方法,研究了压电复合材料中含正六边形孔边两不对称裂纹的反平面问题.首先由压电复合材料反平面问题的本构方程和力-电平衡方程推导出其控制方程,结合留数定理和Cauchy积分公式,求解出电不可通和电可通边界条件下裂纹尖端场强度因子和能量释放率的...

The Anti-Plane Problem of Regular Hexagonal Hole Edge Crack in Piezoelectric Composites

By using Stroh-type formulism and complex variable function theory and by introducing an appropriate numerical conformal mapping function , the antiplane problem of double cracks originnating from a regular hexagonal hole in piezoelectric composites was investigated in this paper. Based on the governing equation of the two-dimensional antiplane problem of piezoelectric elastomers, the analytical expressions of the field intensity factor and energy release rate at the crack tip under the condition of electrically impermeable and electrically permeable boundary were determined by using the residue theorem and Cauchy integral formula.The effects of the side length, crack length, mechanical load and electrical load on crack propagation and energy release rate were analyzed by numerical examples.