{"title":"Investigation of Quasi-Static Deflection of an Elastic Plate Made of Ingomogeneous Material under Compression","authors":"M. M. Korotkov, N. V. Minaeva, A. I. Shashkin","doi":"10.1134/S0025654424606578","DOIUrl":null,"url":null,"abstract":"<p>The quasi-static behavior of an elastically reinforced ingomogeneous plate under compression is investigated. The problem of the existence of a quasi-static deformation process is considered based on the solution of an extremal problem. A condition is obtained, upon violation of which, it is not necessary to study the plate bending based on the selected mathematical model. For two particular cases of changes in the material properties, an analysis of the influence of non-homogeneity parameters on the region of quasi-static deformation described by the solution of a variational problem is carried out.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3811 - 3817"},"PeriodicalIF":0.6000,"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/S0025654424606578","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 quasi-static behavior of an elastically reinforced ingomogeneous plate under compression is investigated. The problem of the existence of a quasi-static deformation process is considered based on the solution of an extremal problem. A condition is obtained, upon violation of which, it is not necessary to study the plate bending based on the selected mathematical model. For two particular cases of changes in the material properties, an analysis of the influence of non-homogeneity parameters on the region of quasi-static deformation described by the solution of a variational problem is carried out.
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.