{"title":"材料非椭圆性条件下冯米塞斯桁架的稳定性","authors":"V. A. Eremeyev","doi":"10.1134/s0021894424020196","DOIUrl":null,"url":null,"abstract":"<p>The process of buckling of the von Mises truss in the case of material instability, i.e., with allowance for material non-ellipticity, is considered. Force-displacement diagrams are constructed. Results that allow one to study buckling of thin-walled structures (arches or shells) made of materials for which the loss of ellipticity of equilibrium equations is possible are obtained.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"28 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of the Von Mises Truss Under the Condition of Material Non-Ellipticity\",\"authors\":\"V. A. Eremeyev\",\"doi\":\"10.1134/s0021894424020196\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The process of buckling of the von Mises truss in the case of material instability, i.e., with allowance for material non-ellipticity, is considered. Force-displacement diagrams are constructed. Results that allow one to study buckling of thin-walled structures (arches or shells) made of materials for which the loss of ellipticity of equilibrium equations is possible are obtained.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-06-25\",\"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://doi.org/10.1134/s0021894424020196\",\"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://doi.org/10.1134/s0021894424020196","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Stability of the Von Mises Truss Under the Condition of Material Non-Ellipticity
The process of buckling of the von Mises truss in the case of material instability, i.e., with allowance for material non-ellipticity, is considered. Force-displacement diagrams are constructed. Results that allow one to study buckling of thin-walled structures (arches or shells) made of materials for which the loss of ellipticity of equilibrium equations is possible are obtained.
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.