{"title":"由于边界摩擦而加热的圆管内弹塑性介质的运动","authors":"A.A. Burenin , L.V. Kovtanyuk , G.L. Panchenko","doi":"10.1016/j.jappmathmech.2016.06.013","DOIUrl":null,"url":null,"abstract":"<div><p><span>The solution of a sequence of related problems in thermoelastoplasticity, concerning the origin and development of the flow of a medium in a cylindrical tube with a varying pressure drop and heating of the material due to friction at the tube wall with the subsequent flow deceleration when the load is slowly removed and the layer material cools off, is presented. The thermophysical and </span>deformation processes<span> are interconnected when the yield stress is temperature dependent. The conditions for the generation of a viscoplastic flow and the relations for the advancement of the elastoplastic boundaries through the layer are indicated, and the flow rates and both irreversible and reversible large deformations are calculated.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"80 2","pages":"Pages 190-197"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2016.06.013","citationCount":"4","resultStr":"{\"title\":\"The motion of an elastoplastic medium in a circular tube heated due to boundary friction\",\"authors\":\"A.A. Burenin , L.V. Kovtanyuk , G.L. Panchenko\",\"doi\":\"10.1016/j.jappmathmech.2016.06.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p><span>The solution of a sequence of related problems in thermoelastoplasticity, concerning the origin and development of the flow of a medium in a cylindrical tube with a varying pressure drop and heating of the material due to friction at the tube wall with the subsequent flow deceleration when the load is slowly removed and the layer material cools off, is presented. The thermophysical and </span>deformation processes<span> are interconnected when the yield stress is temperature dependent. The conditions for the generation of a viscoplastic flow and the relations for the advancement of the elastoplastic boundaries through the layer are indicated, and the flow rates and both irreversible and reversible large deformations are calculated.</span></p></div>\",\"PeriodicalId\":49686,\"journal\":{\"name\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"volume\":\"80 2\",\"pages\":\"Pages 190-197\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2016.06.013\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021892816300879\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892816300879","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
The motion of an elastoplastic medium in a circular tube heated due to boundary friction
The solution of a sequence of related problems in thermoelastoplasticity, concerning the origin and development of the flow of a medium in a cylindrical tube with a varying pressure drop and heating of the material due to friction at the tube wall with the subsequent flow deceleration when the load is slowly removed and the layer material cools off, is presented. The thermophysical and deformation processes are interconnected when the yield stress is temperature dependent. The conditions for the generation of a viscoplastic flow and the relations for the advancement of the elastoplastic boundaries through the layer are indicated, and the flow rates and both irreversible and reversible large deformations are calculated.
期刊介绍:
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.