{"title":"Nonlinear dynamic behaviors of perovskite membranes under opto-electro-thermo-mechanical fields","authors":"Zhi Ni, Shaoyu Zhao, Jie Yang","doi":"10.1016/j.apm.2025.116062","DOIUrl":null,"url":null,"abstract":"<div><div>Perovskite membranes show significant promise for solar cells and optoelectronic devices due to their exceptional optoelectronic properties and mechanical flexibility. Understanding their vibration characteristics and dynamic responses under opto-electro-thermo-mechanical fields is crucial for their practical optoelectronic applications. This paper develops an opto-electro-thermo-mechanical model for lead halide perovskite membranes, considering photostriction, photothermal effect, photodielectric effect, electrostriction and piezoelectricity, and investigates their nonlinear dynamic behaviors. The governing equations are derived based on strain energy density function and dielectric coupling theory, and then numerically solved using Taylor series expansion, the differential quadrature method, incremental harmonic balance, and arc-length continuation techniques. Comprehensive parametric studies are performed to examine the influences of multi-physics fields on the nonlinear dynamic behaviors of the perovskite membranes. Numerical results reveal that light illumination and applied electric field lead to a reduction in the nonlinear frequency of the perovskite membrane, while the nonlinear frequency ratio and dimensionless amplitude increase. Additionally, under higher light intensity, the membrane exhibits multiple subharmonic and superharmonic resonance phenomena, highlighting the complexity of its dynamic behaviors in multi-physics environments.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116062"},"PeriodicalIF":4.4000,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25001374","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Perovskite membranes show significant promise for solar cells and optoelectronic devices due to their exceptional optoelectronic properties and mechanical flexibility. Understanding their vibration characteristics and dynamic responses under opto-electro-thermo-mechanical fields is crucial for their practical optoelectronic applications. This paper develops an opto-electro-thermo-mechanical model for lead halide perovskite membranes, considering photostriction, photothermal effect, photodielectric effect, electrostriction and piezoelectricity, and investigates their nonlinear dynamic behaviors. The governing equations are derived based on strain energy density function and dielectric coupling theory, and then numerically solved using Taylor series expansion, the differential quadrature method, incremental harmonic balance, and arc-length continuation techniques. Comprehensive parametric studies are performed to examine the influences of multi-physics fields on the nonlinear dynamic behaviors of the perovskite membranes. Numerical results reveal that light illumination and applied electric field lead to a reduction in the nonlinear frequency of the perovskite membrane, while the nonlinear frequency ratio and dimensionless amplitude increase. Additionally, under higher light intensity, the membrane exhibits multiple subharmonic and superharmonic resonance phenomena, highlighting the complexity of its dynamic behaviors in multi-physics environments.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.