{"title":"Refined four-phase lag model for elasto-thermodiffusive interaction with harmonically varying heat sources","authors":"Debarghya Bhattacharya, Mridula Kanoria","doi":"10.1007/s11043-024-09719-y","DOIUrl":null,"url":null,"abstract":"<p>The present study explores generalized thermoelastic diffusion within the framework of refined four-phase lag models for an isotropic unbounded medium containing a cylindrical cavity, considering traction-free boundaries and heat sources that vary harmonically. Employing Laplace transform and later using the eigenvalue approach, we find the analytical formulations for various thermo-physical quantities in the transformed domain. Lastly, the Riemann-sum approximation method is employed to obtain the solutions in the real-time domain. We thoroughly examined the sensitivity of the various physical parameters across all investigated domain, and the findings are illustrated both graphically and in tabular formats.</p>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11043-024-09719-y","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
The present study explores generalized thermoelastic diffusion within the framework of refined four-phase lag models for an isotropic unbounded medium containing a cylindrical cavity, considering traction-free boundaries and heat sources that vary harmonically. Employing Laplace transform and later using the eigenvalue approach, we find the analytical formulations for various thermo-physical quantities in the transformed domain. Lastly, the Riemann-sum approximation method is employed to obtain the solutions in the real-time domain. We thoroughly examined the sensitivity of the various physical parameters across all investigated domain, and the findings are illustrated both graphically and in tabular formats.
期刊介绍：
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.
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