{"title":"多层物理非线性混凝土杆横向弯曲极限荷载的确定","authors":"Yu. V. Nemirovskii, S. V. Tikhonov","doi":"10.1134/S0025654425601740","DOIUrl":null,"url":null,"abstract":"<p>In this paper, the problem of bending a multilayered concrete rod of constant cross-section under quasi-static loads is considered. It is assumed that if the strain is below the elastic limit, the rod is deformed elastically, and if the strain is above the elastic limit, the rod is deformed nonlinearly quasi-elastically. It is assumed that the rod is in a uniaxial stress state.</p><p>The calculations are obtained for a hinged rod in the case that the neutral line coincides with the axis of the rod. The analytical ratios are obtained to determine the limit loads for various locations of the boundary between the elastic and nonlinear quasi-elastic deformation areas in the case when the number of layers is two. The ratios are presented for determining the boundary between these areas.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"2100 - 2111"},"PeriodicalIF":0.9000,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Determination of Limit Loads for Transverse Bending of Multilayered Physically Nonlinear Concrete Rods\",\"authors\":\"Yu. V. Nemirovskii, S. V. Tikhonov\",\"doi\":\"10.1134/S0025654425601740\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, the problem of bending a multilayered concrete rod of constant cross-section under quasi-static loads is considered. It is assumed that if the strain is below the elastic limit, the rod is deformed elastically, and if the strain is above the elastic limit, the rod is deformed nonlinearly quasi-elastically. It is assumed that the rod is in a uniaxial stress state.</p><p>The calculations are obtained for a hinged rod in the case that the neutral line coincides with the axis of the rod. The analytical ratios are obtained to determine the limit loads for various locations of the boundary between the elastic and nonlinear quasi-elastic deformation areas in the case when the number of layers is two. The ratios are presented for determining the boundary between these areas.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"60 3\",\"pages\":\"2100 - 2111\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-07-31\",\"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/S0025654425601740\",\"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":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654425601740","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Determination of Limit Loads for Transverse Bending of Multilayered Physically Nonlinear Concrete Rods
In this paper, the problem of bending a multilayered concrete rod of constant cross-section under quasi-static loads is considered. It is assumed that if the strain is below the elastic limit, the rod is deformed elastically, and if the strain is above the elastic limit, the rod is deformed nonlinearly quasi-elastically. It is assumed that the rod is in a uniaxial stress state.
The calculations are obtained for a hinged rod in the case that the neutral line coincides with the axis of the rod. The analytical ratios are obtained to determine the limit loads for various locations of the boundary between the elastic and nonlinear quasi-elastic deformation areas in the case when the number of layers is two. The ratios are presented for determining the boundary between these areas.
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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