{"title":"SOLUTION TO A PROBLEM OF STRESS-STRAIN STATE OF A PLATE WITH AN ELLIPTICAL CUT UNDER MECHANICAL AND TEMPERATURE LOADS IN A NONLOCAL FORMULATION","authors":"G. N. Kuvyrkin, A. A. Sokolov","doi":"10.1134/S0021894424040163","DOIUrl":null,"url":null,"abstract":"<p>Effect of the main parameters of a nonlocal continuum model on stress concentration is studied when solving a problem of tension of a plate with an elliptical cut at its center, also known as the Kirsch problem. The effect of thermal expansion of the medium on the stress-strain state of the plate is described. The results obtained in this study are compared with the classical results. It is shown that there is an decrease in maximum stress and heat flux density, as well as a decrease in the strain in the stress concentration regions.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 4","pages":"762 - 770"},"PeriodicalIF":0.5000,"publicationDate":"2025-02-17","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/S0021894424040163","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
Effect of the main parameters of a nonlocal continuum model on stress concentration is studied when solving a problem of tension of a plate with an elliptical cut at its center, also known as the Kirsch problem. The effect of thermal expansion of the medium on the stress-strain state of the plate is described. The results obtained in this study are compared with the classical results. It is shown that there is an decrease in maximum stress and heat flux density, as well as a decrease in the strain in the stress concentration regions.
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.