摘要
调控薄膜基底结构的表面不稳定性已被成功应用于制备可延展的新型电子设备中。然而,该类电子器件在工作中需要承受外部载荷作用,致使薄膜-基底结构界面处残余应力集中,容易诱发薄膜电子器件与基底脱粘与分层。该文将从理论分析和数值仿真角度,研究压电薄膜在柔性基底表面上的失稳特性。由于压电薄膜变形具有大位移小应变的特点,该文基于非线性Euler-Bernoulli梁理论与能量最小化原理,建立压电薄膜基底结构无屈曲、褶皱、局部屈曲及全脱层屈曲模式的理论分析模型;从能量角度定量分析了薄膜-基底结构4种模式相互演变的临界条件;通过数值仿真,验证了该文解析结的有效性,定量、定性的讨论了薄膜基底结构的材料、几何参数对4种模式演变的影响。研究结果表明:改变基底弹性模量、预应变、物理场强度和界面粘附系数能够调控压电薄膜基底结构的屈曲模式;通过调控温度变化量和电压的方式,能够实现对压电薄膜基底结构的失稳特性精细化调控。该文的研究结果将为提升薄膜基底型的电子器件的稳定性及优化设计提供理论支持。
Controlling the surface instability of the film/substrate structure has been utilized to fabricate stretchable electronic devices.However,because these devices undergo external loading,the residual stress is concentrated at the interface between the film and substrate,and the problem of interfacial debonding and delamination for film/substrate structure is induced.By means of theoretical analysis and numerical simulation,the buckling behaviour of the piezoelectric thin film/substrate structure is investigated.Due to the characteristics of larger displacement but small strain for the deformed film,the film is modelled as a nonlinear Bernoulli-Euler beam and the theoretical analytical model for this film/substrate structure with no buckling,wrinkling,partial delamination and total delamination is established via energy minimization principle.The critical strain expressions for the evolution between no buckling,wrinkling,partial delamination and total delamination are obtained;Numerical examples are carried out to verify the correctness of the proposed formulations and,to analyze the influences of geometrical and material parameters of this structure on wrinkling behaviour.From the results of this study,one can conclude that the wrinkling pattern of this structure can be controlled by changing the Young's modulus,pre-strain,physical fields,and interface adhesion coefficient.By modulating the temperature change and voltage,this structural wrinkling pattern can also be fine regulated.And the findings of this study are useful and helpful for the design of piezoelectric film/substrate-type stretchable electronics.
作者
周煜棠
王博
张博涵
毕皓皓
黄永安
王烁道
ZHOU Yu-tang;WANG Bo;ZHANG Bo-han;BI Hao-hao;HUANG Yong-an;WANG Shuo-dao(Department of Engineering Mechanics,Northwestern Polytechnical University,Xi’an 710072,China;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,China;State Key Laboratory of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China;School of Mechanical and Aerospace Engineering,Oklahoma State University,Oklahoma 74078,U.S.A)
出处
《工程力学》
EI
CSCD
北大核心
2024年第4期247-256,共10页
Engineering Mechanics
基金
国家自然科学基金项目(12172282)
机械结构力学及控制国家重点实验室开放课题项目(MCMS-E-0221K01)。
关键词
压电薄膜-柔性基底结构
脱粘
分层
表面失稳
临界应变
piezoelectric film-substrate structure
decohesion
delamination
surface instability
critical strain