基于非均匀光滑有限元法的含圆孔功能梯度压电板应力和电场集中因子分析

摘要

为提高含圆孔功能梯度压电板应力和电场集中因子的求解精度,提出含圆孔功能梯度压电板的力电耦合非均匀基于单元的光滑有限元法.采用高斯点处的真实材料属性进行计算,分析材料属性按某一方向呈指数函数梯度变化时含孔功能梯度压电板应力和电场集中因子,并与非均匀有限元求解结果进行对比.研究结果表明:该方法求解力电耦合作用下功能梯度压电板的应力集中因子和电场集中因子具有较高的精度.%In order to improve the calculation precision of stress and electric field concentration factor for the functionally graded piezoelectric plate with a circular hole, electromechanical coupling nonhomogeneous cell-based smoothed finite element method was proposed. Real material properties of Gaussian point were used to calculate. Stress and electric field concentration factor of functionally graded piezoelectric plate with a hole was studied, in which material properties of the piezoelectric plate was changing exponentially in a certain direction. The results show that this method has high precision in calculating stress and electric field concentration factor for the functionally graded piezoelectric plate.