{"title":"The vibration of a nanobeam under generalized thermoviscoelasticity theory based on thermomass motion subjected to ramp-type heat","authors":"Hamdy M. Youssef, Nawaf H. Alharbi","doi":"10.1007/s11043-023-09625-9","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a new model of a nanobeam of silicon nitride based on thermomass motion and the generalized thermoviscoelasticity theory is used. Ramp-type heat conduction has thermally loaded a simply supported thermoviscoelastic nanobeam. The governing equations have been constructed and solved in the Laplace transform domain. The numerical results have been represented in figures to show the effects of the thermoviscoelastic, drift velocity, and ramp-time heat parameters. Mechanical relaxation time has a significant impact on the mechanical wave. Moreover, the drift velocity and ramp-time heat parameters significantly affect all the studied functions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-023-09625-9","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, a new model of a nanobeam of silicon nitride based on thermomass motion and the generalized thermoviscoelasticity theory is used. Ramp-type heat conduction has thermally loaded a simply supported thermoviscoelastic nanobeam. The governing equations have been constructed and solved in the Laplace transform domain. The numerical results have been represented in figures to show the effects of the thermoviscoelastic, drift velocity, and ramp-time heat parameters. Mechanical relaxation time has a significant impact on the mechanical wave. Moreover, the drift velocity and ramp-time heat parameters significantly affect all the studied functions.
期刊介绍:
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.