Isogeometric Analysis (IGA)-Based Topology Optimization for 3D Flexoelectric Structures  

作　　者：Yao Meng Xiaoye Yan Weisheng Zhang 

机构地区：[1]State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian,116023,China [2]Ningbo Institute of Dalian University of Technology,Jiangbei District,No.26 Yucai Road,Ningbo,315016,China

出　　处：《Acta Mechanica Solida Sinica》2024年第4期580-589,共10页固体力学学报（英文版）

基　　金：support from the National Natural Science Foundation of China(12272075);Liao Ning Revitalization Talents Program(XLYC2001003,XLYC1907119);Fundamental Research Funds for the Central Universities(DUT22QN238);Program for Changjiang Scholars,Innovative Research Team in University(PCSIRT)and 111 Project(B14013)is gratefully acknowledged.

摘　　要：This paper presents isogeometric analysis(IGA)-based topology optimization for electrical performance of three-dimensional(3D)flexoelectric structures.IGA is employed to provide{C}^{1}continuity in shape function,which is required in treating high-order electromechanical coupling equations.To improve the computational efficiency in treating 3D problems,the redundant degrees of freedom removal technique is introduced.Regularization treatments are also implemented to avoid the numerical singularity induced by flexoelectricity.Both virtual loads and strain energy constraints are taken into consideration to prevent unexpected structural disconnection.Numerical examples and experiments on optimized structures demonstrate that the flexoelectric performance can be effectively improved using the proposed approach.

关 键 词：Topology optimization FLEXOELECTRICITY Isogeometric analysis(IGA) Degrees of freedom removal 

分 类 号：O18[理学—数学]