{"title":"A Dual-Phase-Lag Model of an Infinite Plate of a Thermoelastic Medium with Double-Porosity and Fractional Time Derivative","authors":"Aseem Miglani, Rajneesh Kumar, Amarjyot Kaur, Monika Kalra","doi":"10.1134/S0025654425600576","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we talked about the fractional thermoelastic deformation of double-porous material with two-phase-lag by using a mathematical model of an infinite plate that is being acted upon by a normal thermomechanical force. We have used the eigen-value method by applying the Laplace and Fourier transforms to solve the problem, which led to the finding of the transformed form of the solution. A computer program in MATLAB is used for the numerical inversion of the integral transforms to get the solution numerically for a certain model. We considered the numerical results and made graphs to show how the fractional order parameter and the double porous parameter changed the stress and temperature patterns. It is identified that the fractional order parameter and the medium’s double porosity have a substantial effect on the stress and temperature distribution in the plate.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"2000 - 2017"},"PeriodicalIF":0.9000,"publicationDate":"2025-07-31","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/S0025654425600576","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
In this paper, we talked about the fractional thermoelastic deformation of double-porous material with two-phase-lag by using a mathematical model of an infinite plate that is being acted upon by a normal thermomechanical force. We have used the eigen-value method by applying the Laplace and Fourier transforms to solve the problem, which led to the finding of the transformed form of the solution. A computer program in MATLAB is used for the numerical inversion of the integral transforms to get the solution numerically for a certain model. We considered the numerical results and made graphs to show how the fractional order parameter and the double porous parameter changed the stress and temperature patterns. It is identified that the fractional order parameter and the medium’s double porosity have a substantial effect on the stress and temperature distribution in the plate.
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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