【作者】 张建； 李显方；

【Author】 Zhang Jian;Li Xianfang;School of Civil Engineering, Central South University;

【机构】 中南大学土木工程学院；

【摘要】 挠曲电效应是指应变梯度和极化梯度以及它们之间的耦合对结构性能的影响。在宏观尺度下,挠曲电对于材料和结构性能的影响微弱,通常不予考虑。当结构尺寸降至纳米时,挠曲电效应对其性能产生显著影响,不能忽略。本文考虑两个方向应变梯度的细长欧拉梁,挠曲电效应对微纳米梁静态弯曲性能的影响。通过变分原理推导梁的控制方程,在不同边界条件下获得了梁挠度、电场强度、极化强度的精确表达式,通过具体算例表明挠曲电效应对梁的挠度、电场强度、极化强度的影响。更多还原

【Abstract】 The flexoelectric effect is the effect of the strain gradient and the polarization gradient and the coupling between them on the flexoelectric electrical material. At macro scales, the effect of flexoelectric on material and structural properties is weak and is usually ignored. When the structure size drops to nanometer, flexoelectric effect have a significant effect on its performance,and can not be ignored. In this paper, the flexoelectric effect with strain gradient in different directions on the mechanical and electrical properties of bending piezoelectric nanobeam with different boundary conditions is investigated based on a continuum framework and the Euler beam hypothesis. The control equation of beam is deduced by variational principle, And then under different boundary conditions to obtain the precise expression of the beam deflection, electric field and polarization.更多还原