【摘要】 应用边界元法 ,并结合一种特殊的复变函数基本解 ,研究了压电介质的断裂问题。由于该基本解完全遵循本构方程没有对电位移边界作任何假设 ,所以结论同非穿透性裂纹假设的结果有较大差异。通过计算表明 ,外加力载荷不但会引起裂纹尖端应力奇异性 ,也会引起电场奇异性 ,同样 ,外加电压也会引起裂纹尖端应力奇异性更多还原

【Abstract】 A boundary element formulation, incorporating a derived fundamental as its kernels, is developed. This Green′s function is got under constitutive relations without assuming that the electric displacement on the hole is zero.An exact electric boundary condition is proposed,in which the electric permeability of air in a crack gap is considered. Examples are given in which the stress intensity factors are obtained with the procedure compiled by this paper. The results show that the applied electric load leads to the singularity of stress in the crack tip.On the other hand,applied stress load also leads to singularity of electric field in the crack tip.更多还原