基于C1型Bell三角形单元的挠曲电效应分析

Analysis of Flexoelectricity Based on C1 Bell Triangular Element

摘要:

采用C¹连续性Bell三角形单元，进行了挠曲电效应的机理研究，求解了厚壁筒的平面应变边值问题，并利用挠曲电结构的非对称性产生压电效应。通过算例分析，验证了Bell单元的准确性和收敛性，研究了梯度弹性理论中内禀尺度对挠曲电结构变形的影响，分析了挠曲电的尺寸效应。该工作为挠曲电效应分析和结构设计提供了基础和依据。

Abstract:

The C¹ continuous Bell triangular element is adopted in this paper to investigate the mechanism of flexoelectricity. The plane strain boundary value problem of a cylindrical tube is solved， and the asymmetry of flexoelectric structure is used for creating piezoelectricity without using piezoelectric materials. In the numerical examples， the accuracy and convergence of the Bell element are verified， the influence of the intrinsic length on the response of the flexoelectric structure in gradient elasticity theory is then studied， and the size effect of flexoelectricity is also analyzed. This paper can provide a basis for the analysis of flexoelectricity and the design of flexoelectric structures.