{"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.