A. A. Osipov, N. V. Semenova, M. V. Smirnov, L. V. Solov’ova-Gogoleva
{"title":"Mathematical Description of the Deformation Zone for Rolling in Simple-Shaped Grooves","authors":"A. A. Osipov, N. V. Semenova, M. V. Smirnov, L. V. Solov’ova-Gogoleva","doi":"10.1134/S0036029526600239","DOIUrl":null,"url":null,"abstract":"<p>The use of cubic β-splines is considered to simplify the computation the deformation zone surface during steady flow and to calculate the components of strain rate tensor ξ<sub><i>ij</i></sub> on rolling alloy steels in simple grooves. The method of rolling grids is used as a basis for studying the state of stress on the free and contact surfaces of a strip. The coordinates of the deformed mesh serve as the initial information for calculating and describing the deformation zone surface.</p>","PeriodicalId":769,"journal":{"name":"Russian Metallurgy (Metally)","volume":"2026 4","pages":"652 - 657"},"PeriodicalIF":0.3000,"publicationDate":"2026-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Metallurgy (Metally)","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0036029526600239","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"METALLURGY & METALLURGICAL ENGINEERING","Score":null,"Total":0}
引用次数: 0
Abstract
The use of cubic β-splines is considered to simplify the computation the deformation zone surface during steady flow and to calculate the components of strain rate tensor ξij on rolling alloy steels in simple grooves. The method of rolling grids is used as a basis for studying the state of stress on the free and contact surfaces of a strip. The coordinates of the deformed mesh serve as the initial information for calculating and describing the deformation zone surface.
期刊介绍:
Russian Metallurgy (Metally) publishes results of original experimental and theoretical research in the form of reviews and regular articles devoted to topical problems of metallurgy, physical metallurgy, and treatment of ferrous, nonferrous, rare, and other metals and alloys, intermetallic compounds, and metallic composite materials. The journal focuses on physicochemical properties of metallurgical materials (ores, slags, matters, and melts of metals and alloys); physicochemical processes (thermodynamics and kinetics of pyrometallurgical, hydrometallurgical, electrochemical, and other processes); theoretical metallurgy; metal forming; thermoplastic and thermochemical treatment; computation and experimental determination of phase diagrams and thermokinetic diagrams; mechanisms and kinetics of phase transitions in metallic materials; relations between the chemical composition, phase and structural states of materials and their physicochemical and service properties; interaction between metallic materials and external media; and effects of radiation on these materials.