压电薄板切口尖端前沿力电损伤场分析

Mechanical and Electrical Damage Ahead of Notch-Tip in Thin Piezoelectric Plate

基于Yang等建立的三维各向异性压电损伤本构模型,给出了广义平面应力压电损伤问题的本构方程和有限元平衡方程,运用有限元方法分析了张开角和深度对切口前沿力电损伤分布的影响规律。结果表明,张开角对力损伤的影响较小,并且几乎不改变力电损伤的区域尺寸,但是深度对力电损伤的大小和区域尺寸都有很大的影响。

Based on the three-dimensional anisotropic piezoelectric damage constitutive model proposed by Yang etc.,the constitutive equation and equilibrium equation for extended plane stress piezoelectric damage problems are obtained,and then effects of opening angle and depth on the mechanical and electrical damages ahead of a piezoelectric notch are investigated with finite element method.It is shown from the numerical results that the opening angle has little effect on the mechanical damage and hardly changes the sizes of the mechanical and electrical damage regions,but the notch depth has obvious influence on the damage level and the size of the electrical damage regions.