{"title":"基于非局部修正耦合应力理论的压热弹性纳米梁谐振腔双相位滞后","authors":"Arti, Ravinder Kumar Sahrawat, Krishan Kumar","doi":"10.1134/S0025654425602083","DOIUrl":null,"url":null,"abstract":"<p>Thermoelastic damping (TED) is an important factor in modeling and designing of micro-/nanoscale devices. The present study proposes to study thermoelastic damping in piezothermoelastic beam at nanoscale using nonlocal modified couple stress theory (NMCST) which is a combination of Eringen’s nonlocal elasticity theory and modified couple stress theory. Coupled thermoelastic equations are derived using NMCST based on Euler-Bernoulli beam theory. The complex frequency approach has been used to solve the coupled equations and thermoelastic damping has been obtained for piezothermoelastic nanobeam under simply suppoted-simply supported (SS) boundary condition. The results obtained are compared to those obtained from classical continuum and heat conduction theories. MATLAB software has been used to discuss the results graphically.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"3095 - 3117"},"PeriodicalIF":0.9000,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dual Phase Lagging in Piezothermoelastic Nanobeam Resonator Utilizing Nonlocal Modified Couple Stress Theory\",\"authors\":\"Arti, Ravinder Kumar Sahrawat, Krishan Kumar\",\"doi\":\"10.1134/S0025654425602083\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Thermoelastic damping (TED) is an important factor in modeling and designing of micro-/nanoscale devices. The present study proposes to study thermoelastic damping in piezothermoelastic beam at nanoscale using nonlocal modified couple stress theory (NMCST) which is a combination of Eringen’s nonlocal elasticity theory and modified couple stress theory. Coupled thermoelastic equations are derived using NMCST based on Euler-Bernoulli beam theory. The complex frequency approach has been used to solve the coupled equations and thermoelastic damping has been obtained for piezothermoelastic nanobeam under simply suppoted-simply supported (SS) boundary condition. The results obtained are compared to those obtained from classical continuum and heat conduction theories. MATLAB software has been used to discuss the results graphically.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"60 4\",\"pages\":\"3095 - 3117\"},\"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/S0025654425602083\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654425602083","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Dual Phase Lagging in Piezothermoelastic Nanobeam Resonator Utilizing Nonlocal Modified Couple Stress Theory
Thermoelastic damping (TED) is an important factor in modeling and designing of micro-/nanoscale devices. The present study proposes to study thermoelastic damping in piezothermoelastic beam at nanoscale using nonlocal modified couple stress theory (NMCST) which is a combination of Eringen’s nonlocal elasticity theory and modified couple stress theory. Coupled thermoelastic equations are derived using NMCST based on Euler-Bernoulli beam theory. The complex frequency approach has been used to solve the coupled equations and thermoelastic damping has been obtained for piezothermoelastic nanobeam under simply suppoted-simply supported (SS) boundary condition. The results obtained are compared to those obtained from classical continuum and heat conduction theories. MATLAB software has been used to discuss the results graphically.
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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