{"title":"具有箱形截面的两层弹性杆的扭力","authors":"S. I. Senashov, I. L. Savostyanova, A. Yu. Vlasov","doi":"10.1134/S0021894424030155","DOIUrl":null,"url":null,"abstract":"<p>A two-layer rod with a box section twisted by angle <span>\\(\\theta\\)</span> under the action of shear stresses is considered. It is assumed that the rod deformations are elastic and its lateral surface is stress-free. The layers have different elastic properties and different thicknesses. The contact line between the layers is assumed to be rigid, i.e., the stresses on it are the same. An exact solution describing the stress state of this structure is constructed using conservation laws. The stress state is determined at each point of the cross section using outer contour integrals.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 3","pages":"536 - 542"},"PeriodicalIF":0.5000,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"TORSION OF A TWO-LAYER ELASTIC ROD WITH A BOX SECTION\",\"authors\":\"S. I. Senashov, I. L. Savostyanova, A. Yu. Vlasov\",\"doi\":\"10.1134/S0021894424030155\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A two-layer rod with a box section twisted by angle <span>\\\\(\\\\theta\\\\)</span> under the action of shear stresses is considered. It is assumed that the rod deformations are elastic and its lateral surface is stress-free. The layers have different elastic properties and different thicknesses. The contact line between the layers is assumed to be rigid, i.e., the stresses on it are the same. An exact solution describing the stress state of this structure is constructed using conservation laws. The stress state is determined at each point of the cross section using outer contour integrals.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":\"65 3\",\"pages\":\"536 - 542\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-12-09\",\"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/S0021894424030155\",\"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":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894424030155","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
TORSION OF A TWO-LAYER ELASTIC ROD WITH A BOX SECTION
A two-layer rod with a box section twisted by angle \(\theta\) under the action of shear stresses is considered. It is assumed that the rod deformations are elastic and its lateral surface is stress-free. The layers have different elastic properties and different thicknesses. The contact line between the layers is assumed to be rigid, i.e., the stresses on it are the same. An exact solution describing the stress state of this structure is constructed using conservation laws. The stress state is determined at each point of the cross section using outer contour integrals.
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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