{"title":"Two Dimensional Non-Local Couple Stress Micropolar Thermoelasticity in Orthotropic Medium with Void using Eigen Value Approach","authors":"Meenu Rani, Ravinder Kumar Sahrawat, Sonam Rani, Krishan Kumar","doi":"10.1134/S0025654425601284","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we deal with boundary value problem in two-dimensional medium based on non-local couple stress orthotropic micropolar thermoelastic solid with voids. A traction-free insulated and isothermal boundary of a non-local thermoelastic solid are considered. The governing equations for two-dimensional problem of the medium are obtained as a vector matrix differential equation which are then solved by using eigenvalue approach. The effect of non-local, couple stress and void parameter on the displacements and temperature are computed numerically and presented graphically. Particular cases are also established and compared with the known results.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2946 - 2961"},"PeriodicalIF":0.9000,"publicationDate":"2025-08-26","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/S0025654425601284","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 deal with boundary value problem in two-dimensional medium based on non-local couple stress orthotropic micropolar thermoelastic solid with voids. A traction-free insulated and isothermal boundary of a non-local thermoelastic solid are considered. The governing equations for two-dimensional problem of the medium are obtained as a vector matrix differential equation which are then solved by using eigenvalue approach. The effect of non-local, couple stress and void parameter on the displacements and temperature are computed numerically and presented graphically. Particular cases are also established and compared with the known results.
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.