{"title":"Theory of Torsion of Nonuniform Prismatic Rods Subjected to External Pressure","authors":"B. G. Mironov","doi":"10.1134/S0025654424606670","DOIUrl":null,"url":null,"abstract":"<p>The article studies the limit state of rods made of ideal rigid-plastic nonuniform material under the action of variable external pressure linearly changing along the generatrix of the rod. The main relations describing the limit state of nonuniform rods are considered. The characteristics of the studied relations and relations along the characteristics are determined. Integrals of the main relations have been obtained under various conditions of the limiting state of the rod. The problem of the limit state of a nonuniform prismatic rod with a rectangular cross-section under external pressure is considered under the assumption that the yield strength depends linearly on the ordinate of the point.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3798 - 3802"},"PeriodicalIF":0.9000,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424606670","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
The article studies the limit state of rods made of ideal rigid-plastic nonuniform material under the action of variable external pressure linearly changing along the generatrix of the rod. The main relations describing the limit state of nonuniform rods are considered. The characteristics of the studied relations and relations along the characteristics are determined. Integrals of the main relations have been obtained under various conditions of the limiting state of the rod. The problem of the limit state of a nonuniform prismatic rod with a rectangular cross-section under external pressure is considered under the assumption that the yield strength depends linearly on the ordinate of the point.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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