{"title":"Thermoelastic analysis of a Moore–Gibson–Thompson plate with internal heat source loaded with viscous fluid layers","authors":"Praveen Ailawalia, Marin Marin, Jatinder Kaur","doi":"10.1007/s00707-025-04405-7","DOIUrl":null,"url":null,"abstract":"<div><p>In the present problem, the response of an infinite thermoelastic plate with an internal heat source under Moore–Gibson–Thompson (MGT) theory loaded with viscous fluid layers is discussed. The thickness of the plate is assumed to be 2<i>d</i>. The analytical expressions of displacement, stresses, and temperature field are obtained by the normal mode analysis technique. The numerical values of the expressions are evaluated using MATLAB. The graphical results are presented to show the effect of different theories of thermoelasticity, namely Biot Classical model, LS model, GN Type III model, and MGT model. The problem is new in the context of the presence of an internal heat source in the MGT theory of thermoelasticity loaded with viscous fluid layers. The problem finds its applications in Earthquake engineering, hydrology, petrochemical industries, etc.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4823 - 4835"},"PeriodicalIF":2.9000,"publicationDate":"2025-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04405-7.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04405-7","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
In the present problem, the response of an infinite thermoelastic plate with an internal heat source under Moore–Gibson–Thompson (MGT) theory loaded with viscous fluid layers is discussed. The thickness of the plate is assumed to be 2d. The analytical expressions of displacement, stresses, and temperature field are obtained by the normal mode analysis technique. The numerical values of the expressions are evaluated using MATLAB. The graphical results are presented to show the effect of different theories of thermoelasticity, namely Biot Classical model, LS model, GN Type III model, and MGT model. The problem is new in the context of the presence of an internal heat source in the MGT theory of thermoelasticity loaded with viscous fluid layers. The problem finds its applications in Earthquake engineering, hydrology, petrochemical industries, etc.
在摩尔-吉布森-汤普森（MGT）理论下，讨论了具有内热源的无限热弹性板加载粘性流体层的响应问题。假定板的厚度为2d。利用正模态分析技术得到了位移、应力和温度场的解析表达式。利用MATLAB对表达式的数值进行求值。图解结果显示了不同热弹性理论（Biot classic模型、LS模型、GN Type III模型和MGT模型）的影响。这个问题是在粘性流体层加载热弹性的MGT理论中存在内部热源的背景下出现的新问题。该问题在地震工程、水文、石油化工等领域均有应用。
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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