华中科技大学学报（自然科学版）2025，Vol.53Issue(6)：161-168,8.DOI:10.13245/j.hust.250623
基于近场动力学的含缺陷压电板力电耦合分析
Electro-mechanical coupling analysis of piezoelectric plate with defects based on peridynamics
摘要
Abstract
In the basics of peridynamics theory,a nonlocal electro-mechanical coupling model for piezoelectric materials with defects was developed using the peridynamics differential operator.The displacement-electric potential equations and the boundary conditions of the piezoelectric structure were reconstructed into a nonlocal integral form.The Lagrange multiplier method and variational theory were used to obtain the displacement and electric potential fields,and then the stress and electric displacement fields were obtained.The deformation of piezoelectric plate with and without hole under electro-mechanical coupling loads was studied,and the effectiveness of the model was verified by comparing theoretical and finite element solutions.Finally,the electroelastic problem of piezoelectric plate with hole edge crack was analyzed to demonstrate the advantages of the model in solving the deformation problem of discontinuous piezoelectric structures under electro-mechanical coupling loads.This model provides a new perspective for the electro-mechanical coupling analysis of piezoelectric structures with defects.关键词
压电材料/不连续结构/力电耦合/近场动力学微分算子/非局部模型Key words
piezoelectric materials/discontinuous structure/electro-mechanical coupling/peridynamics differential operator/nonlocal model分类
力学引用本文复制引用
信玉岩,李志远,黄丹..基于近场动力学的含缺陷压电板力电耦合分析[J].华中科技大学学报（自然科学版）,2025,53(6):161-168,8.基金项目
国家自然科学基金资助项目(12402236,12072104) （12402236,12072104）
江苏高校"青蓝工程"资助项目 （）
国家资助博士后研究人员计划项目(GZC20240376). （GZC20240376）
