{"title":"Non-Axisymmetric Coupled Unsteady Thermoelectroelasticity Problem for a Long Piezoceramic Cylinder","authors":"D. A. Shlyakhin, V. A. Yurin","doi":"10.1134/S002565442360232X","DOIUrl":null,"url":null,"abstract":"<p>A new closed solution of the non-axisymmetric coupled unsteady problem of thermoelectroelasticity for a long piezoceramic cylinder is constructed while satisfying the boundary conditions of thermal conductivity of the 1st and 3rd kind. The cylindrical surfaces of the element are electroded and connected to a measuring device with a high input resistance. Limiting the rate of change of the temperature field on the inner surface of the cylinder allows us to include the equations of equilibrium, electrostatics and thermal conductivity in the mathematical formulation of the problem. To study the resulting non-self-adjoint system of equations and construct a closed solution, a generalized biorthogonal finite integral transformation is used. The obtained dependencies make it possible to determine the temperature, electric and elastic fields in the piezoceramic cylinder, as well as the potential difference between its electrode surfaces under the action of a non-stationary non-axisymmetric temperature “exposure”.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S002565442360232X","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
A new closed solution of the non-axisymmetric coupled unsteady problem of thermoelectroelasticity for a long piezoceramic cylinder is constructed while satisfying the boundary conditions of thermal conductivity of the 1st and 3rd kind. The cylindrical surfaces of the element are electroded and connected to a measuring device with a high input resistance. Limiting the rate of change of the temperature field on the inner surface of the cylinder allows us to include the equations of equilibrium, electrostatics and thermal conductivity in the mathematical formulation of the problem. To study the resulting non-self-adjoint system of equations and construct a closed solution, a generalized biorthogonal finite integral transformation is used. The obtained dependencies make it possible to determine the temperature, electric and elastic fields in the piezoceramic cylinder, as well as the potential difference between its electrode surfaces under the action of a non-stationary non-axisymmetric temperature “exposure”.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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