{"title":"Non-Classical Theories of Beams, Plates and Shells (A Review)","authors":"V. V. Vasiliev","doi":"10.1134/S0025654424700377","DOIUrl":null,"url":null,"abstract":"<p>The article is an analytical review and is devoted to the problem of constructing non-classical theories of beams, plates and shells, the demand for which is associated with the emergence of new structural materials with properties that do not fully correspond to the hypotheses adopted in constructing classical theories. The presentation is based on the analysis of the problem of reducing the order of elasticity theory equations for thin-walled structural elements and the mathematical and physical methods used for this purpose. The main attention is paid to the correctness and energy consistency of these methods. The presentation is illustrated by examples of specific theories.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3267 - 3281"},"PeriodicalIF":0.9000,"publicationDate":"2025-03-09","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/S0025654424700377","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 is an analytical review and is devoted to the problem of constructing non-classical theories of beams, plates and shells, the demand for which is associated with the emergence of new structural materials with properties that do not fully correspond to the hypotheses adopted in constructing classical theories. The presentation is based on the analysis of the problem of reducing the order of elasticity theory equations for thin-walled structural elements and the mathematical and physical methods used for this purpose. The main attention is paid to the correctness and energy consistency of these methods. The presentation is illustrated by examples of specific theories.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
