{"title":"薄板在高压场中的弯曲","authors":"M. A. Ilgamov","doi":"10.1134/S0021894423060214","DOIUrl":null,"url":null,"abstract":"<p>A linear theory of static cylindrical bending of a thin plate is constructed without using the Kirchhoff hypotheses. Transverse shear, thickness compression, and the resulting longitudinal force are taken into account. In view of changes in the areas of both surfaces during bending, the transverse distributed force is determined. It is assumed that the average pressure on the plate is several orders of magnitude greater than the pressure difference. Bending is considered under the conditions of a plane strain state and a stress state.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 6","pages":"1100 - 1107"},"PeriodicalIF":0.5000,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"BENDING OF A THIN PLATE IN A HIGH PRESSURE FIELD\",\"authors\":\"M. A. Ilgamov\",\"doi\":\"10.1134/S0021894423060214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A linear theory of static cylindrical bending of a thin plate is constructed without using the Kirchhoff hypotheses. Transverse shear, thickness compression, and the resulting longitudinal force are taken into account. In view of changes in the areas of both surfaces during bending, the transverse distributed force is determined. It is assumed that the average pressure on the plate is several orders of magnitude greater than the pressure difference. Bending is considered under the conditions of a plane strain state and a stress state.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":\"64 6\",\"pages\":\"1100 - 1107\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-02-13\",\"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/S0021894423060214\",\"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/S0021894423060214","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
A linear theory of static cylindrical bending of a thin plate is constructed without using the Kirchhoff hypotheses. Transverse shear, thickness compression, and the resulting longitudinal force are taken into account. In view of changes in the areas of both surfaces during bending, the transverse distributed force is determined. It is assumed that the average pressure on the plate is several orders of magnitude greater than the pressure difference. Bending is considered under the conditions of a plane strain state and a stress state.
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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