{"title":"Nonlocal thermoelastic response of functionally graded piezoelectric rod with memory-dependent effects","authors":"Zheng Wan, Yixin Zhang, Lixu Chen, Yongbin Ma","doi":"10.1007/s00419-025-02908-2","DOIUrl":null,"url":null,"abstract":"<div><p>This paper investigates the thermoelastic dynamic response of a functionally graded piezoelectric rod, accounting for thermal conduction memory and size-dependent effects. Unlike conventional models, this one permits thermal waves to propagate at a finite speed, with the Moore–Gibson–Thompson equation being a key component. By incorporating two additional relaxation times into the thermal conduction equation and introducing Klein–Gordon-type nonlocal elastic theory in the constitutive equation, the model effectively captures small-scale interactions. Using this model, the one-dimensional thermo-mechanical response of a piezoelectric rod was analyzed. Analytical expressions for the transformed thermophysical fields were derived in the Laplace transform domain. Numerical inversion methods were then applied to obtain solutions in the physical domain, elucidating the effects of various physical parameters. These findings are applicable to the development of various pyro/piezoelectric devices, such as sensors and gyroscopes with piezoelectric components.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02908-2","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the thermoelastic dynamic response of a functionally graded piezoelectric rod, accounting for thermal conduction memory and size-dependent effects. Unlike conventional models, this one permits thermal waves to propagate at a finite speed, with the Moore–Gibson–Thompson equation being a key component. By incorporating two additional relaxation times into the thermal conduction equation and introducing Klein–Gordon-type nonlocal elastic theory in the constitutive equation, the model effectively captures small-scale interactions. Using this model, the one-dimensional thermo-mechanical response of a piezoelectric rod was analyzed. Analytical expressions for the transformed thermophysical fields were derived in the Laplace transform domain. Numerical inversion methods were then applied to obtain solutions in the physical domain, elucidating the effects of various physical parameters. These findings are applicable to the development of various pyro/piezoelectric devices, such as sensors and gyroscopes with piezoelectric components.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.