中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Flexoelectric and surface effects on bending deformation and vibration of piezoelectric nanolaminates: Analytical solutions

文献类型:期刊论文

作者Xiao, Junhua4,5; Lv, Jie4,5; Xia, Xiaodong3; Wang J(王杰)1,2
刊名APPLIED MATHEMATICAL MODELLING
出版日期2024-11-01
卷号135页码:541-558
关键词Piezoelectric nanolaminates Flexoelectricity Surface effect Bending deflection Vibration characteristic Size-dependent behaviors
ISSN号0307-904X
DOI10.1016/j.apm.2024.07.010
通讯作者Xiao, Junhua(xiaojunhua@ysu.edu.cn)
英文摘要In this paper, a model of double-layer rectangular piezoelectric nanolaminates with different upper and lower surface properties is established. The bending and vibration behavior of the piezoelectric nanolaminates are evaluated and analyzed, taking into consideration the flexoelectric and surface effects. Utilizing the surface piezoelectric model, flexoelectric theory, and Kirchhoff plate theory, this study provides analytical solutions for the bending deflection and natural frequency of rectangular piezoelectric nanolamination materials under various boundary conditions. The results indicate that the effects of flexoelectric and surface influences on piezoelectric nanolaminates are associated with residual surface stress and flexoelectric coefficients. These effects can enhance the bending stiffness and decrease the natural frequency of the piezoelectric nanolaminates. Furthermore, altering the residual stress on the upper and lower surfaces of the laminates separately will result in different trends in bending deflection, while causing a consistent trend in natural frequency change. When the electric potential direction of piezoelectric nanolaminates is different, the bending deflection of piezoelectric nanolaminates will change accordingly. The natural frequency of piezoelectric nanolaminates is determined by the absolute value of the flexoelectric coefficients, and is independent of their positive or negative values. Both the surface effect and the flexoelectric effect are influenced by size-dependent behaviors. When the thickness of the laminates is sufficiently large, both the surface effect and flexoelectric effect can be disregarded. This paper's research methods and results provide theoretical models and analytical methods for the microstructure design, multi-physical field characterization, and bending deformation behavior of intelligent components containing rectangular piezoelectric nanolaminates.
分类号一类
WOS关键词STRESS ; SIZE ; BEHAVIOR ; NANOPLATE
资助项目Hebei Natural Science Foundation[A2022203025] ; National Natural Science Foundation of China[12372158] ; Natural Science Foundation of Hunan Province[2024JJ4049]
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:001275735600001
资助机构Hebei Natural Science Foundation ; National Natural Science Foundation of China ; Natural Science Foundation of Hunan Province
其他责任者Xiao, Junhua
源URL[http://dspace.imech.ac.cn/handle/311007/96154]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China;
3.Cent South Univ, Sch Civil Engn, Changsha 410083, Peoples R China;
4.Yanshan Univ, Hebei Key Lab Mech Reliabil Heavy Equipments & Lar, Qinhuangdao 066004, Peoples R China;
5.Yanshan Univ, Dept Engn Mech, Qinhuangdao 066004, Peoples R China;
推荐引用方式
GB/T 7714
Xiao, Junhua,Lv, Jie,Xia, Xiaodong,et al. Flexoelectric and surface effects on bending deformation and vibration of piezoelectric nanolaminates: Analytical solutions[J]. APPLIED MATHEMATICAL MODELLING,2024,135:541-558.
APA Xiao, Junhua,Lv, Jie,Xia, Xiaodong,&王杰.(2024).Flexoelectric and surface effects on bending deformation and vibration of piezoelectric nanolaminates: Analytical solutions.APPLIED MATHEMATICAL MODELLING,135,541-558.
MLA Xiao, Junhua,et al."Flexoelectric and surface effects on bending deformation and vibration of piezoelectric nanolaminates: Analytical solutions".APPLIED MATHEMATICAL MODELLING 135(2024):541-558.

入库方式: OAI收割

来源:力学研究所

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