{"title":"Characteristic features of the process of wear of a punch and a thin elastic strip with non-uniform friction and wear parameters","authors":"I.A. Soldatenkov","doi":"10.1016/j.jappmathmech.2018.03.019","DOIUrl":null,"url":null,"abstract":"<div><p>An analytical solution of the problem on the wear of a punch sliding on a thin elastic strip under the condition that they are in complete contact is given for variable friction and wear coefficients. The particular case of a wavy punch (periodic problem) is considered. Some distinguishing features of the process of wear in the transient regime are revealed. It is established, for example, that the contact pressure distribution curve can have a narrow local maximum (peak), significantly exceeding the average level of the contact pressure in magnitude.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 6","pages":"Pages 492-498"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.019","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892818300297","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
An analytical solution of the problem on the wear of a punch sliding on a thin elastic strip under the condition that they are in complete contact is given for variable friction and wear coefficients. The particular case of a wavy punch (periodic problem) is considered. Some distinguishing features of the process of wear in the transient regime are revealed. It is established, for example, that the contact pressure distribution curve can have a narrow local maximum (peak), significantly exceeding the average level of the contact pressure in magnitude.
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.
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