{"title":"Instantaneous Heat Source Response in a Rotating Orthotropic Thermoelastic Medium Using Three-Phase-Lag Model","authors":"Subhadip Karmakar, Smita Pal Sarkar","doi":"10.1134/S0025654424600090","DOIUrl":null,"url":null,"abstract":"<p>This article highlights the study of thermoelastic interaction in a homogeneous, orthotropic, rotating medium due to the influence of an instantaneous heat source. This study employs the three-phase-lag model. A differential equation in vector-matrix form has been formulated with the help of combined Laplace–Fourier transformation and the solution is obtained by using the eigenvalue approach. The Gaussian quadrature formula and the Bellman method are employed to numerically estimate the displacement components, temperature, and thermal stress components. Finally, the numerical outcomes are depicted graphically and compared with those of the Lord–Shulman and Green–Naghdi type III models.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 3","pages":"1614 - 1634"},"PeriodicalIF":0.6000,"publicationDate":"2024-11-01","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/S0025654424600090","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
This article highlights the study of thermoelastic interaction in a homogeneous, orthotropic, rotating medium due to the influence of an instantaneous heat source. This study employs the three-phase-lag model. A differential equation in vector-matrix form has been formulated with the help of combined Laplace–Fourier transformation and the solution is obtained by using the eigenvalue approach. The Gaussian quadrature formula and the Bellman method are employed to numerically estimate the displacement components, temperature, and thermal stress components. Finally, the numerical outcomes are depicted graphically and compared with those of the Lord–Shulman and Green–Naghdi type III models.
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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