{"title":"Thermoelastic State of a Heterogeneous Orthotropic Cylindrical Shell with an Open Profile under Transient Heating","authors":"R. M. Kushnir, U. V. Zhydyk, V. M. Flyachok","doi":"10.1007/s11003-024-00759-w","DOIUrl":null,"url":null,"abstract":"<p>The thermoelastic state of a heterogeneous orthotropic circular cylindrical shell with an open profile under the condition of convective heat exchange between the surfaces of the shell and the environment is investigated. A generalized shear mathematical model of heterogeneous anisotropic shells of the first order and two-dimensional non-stationary heat conduction equations are used in this case. Using the methods of Fourier and Laplace integral transformations, an analytical solution to the non-stationary problem of thermal conductivity and the quasi-static problem of thermoelasticity for a finite hinged shell supported at the edges is found. The stress state and deflections of the shell are calculated for the case of material properties change in the radial direction according to the power law.</p>","PeriodicalId":18230,"journal":{"name":"Materials Science","volume":"34 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Materials Science","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11003-024-00759-w","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The thermoelastic state of a heterogeneous orthotropic circular cylindrical shell with an open profile under the condition of convective heat exchange between the surfaces of the shell and the environment is investigated. A generalized shear mathematical model of heterogeneous anisotropic shells of the first order and two-dimensional non-stationary heat conduction equations are used in this case. Using the methods of Fourier and Laplace integral transformations, an analytical solution to the non-stationary problem of thermal conductivity and the quasi-static problem of thermoelasticity for a finite hinged shell supported at the edges is found. The stress state and deflections of the shell are calculated for the case of material properties change in the radial direction according to the power law.
期刊介绍：
Materials Science reports on current research into such problems as cracking, fatigue and fracture, especially in active environments as well as corrosion and anticorrosion protection of structural metallic and polymer materials, and the development of new materials.
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