{"title":"GADOLIN PROBLEM OF ASSEMBLING A PRESTRESSED TWO-LAYER PIPE","authors":"A. A. Burenin, A. V. Tkacheva","doi":"10.1134/S002189442305022X","DOIUrl":null,"url":null,"abstract":"<p>This paper presents a solution to the Gadolin problem of the evolution of stressed states in the shrink-fit assembly of two cylindrical pipes. The materials of the assembly parts are described using the mathematical model of an ideal elastic-viscoplastic material. The friction law is specified on the contact surface of the materials of the assembly. The yield criterion is taken to be the maximum octahedral stress criterion (von Mises criterion) in which the yield stress depends significantly on the local temperature. Time-varying thermal stresses are calculated in successive time steps, depending on the temperature distribution reached by that time. The calculated residual stress and fit interference in the assembly are compared with the values obtained from a numerical-analytical solution of the one-dimensional problem. Differences in the behavior of the fit interference in the near-end region of the structure due to the neglect of the singularity in the boundary conditions are noted.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 5","pages":"929 - 942"},"PeriodicalIF":0.5000,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S002189442305022X","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
This paper presents a solution to the Gadolin problem of the evolution of stressed states in the shrink-fit assembly of two cylindrical pipes. The materials of the assembly parts are described using the mathematical model of an ideal elastic-viscoplastic material. The friction law is specified on the contact surface of the materials of the assembly. The yield criterion is taken to be the maximum octahedral stress criterion (von Mises criterion) in which the yield stress depends significantly on the local temperature. Time-varying thermal stresses are calculated in successive time steps, depending on the temperature distribution reached by that time. The calculated residual stress and fit interference in the assembly are compared with the values obtained from a numerical-analytical solution of the one-dimensional problem. Differences in the behavior of the fit interference in the near-end region of the structure due to the neglect of the singularity in the boundary conditions are noted.
期刊介绍：
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.
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