{"title":"弹性力学中静态和准静态摩擦接触问题的理论综述","authors":"L. Andersson, A. Klarbring","doi":"10.1098/rsta.2001.0908","DOIUrl":null,"url":null,"abstract":"This paper gives a review of mathematical results of existence and uniqueness of solutions to problems of linear elasticity involving friction. Static, steady sliding and quasi-static problems are discussed. Both the case of a continuum body and that of a space-discrete one are treated. The intention is to describe the state of the art for these problems.","PeriodicalId":20023,"journal":{"name":"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":"{\"title\":\"A review of the theory of static and quasi-static frictional contact problems in elasticity\",\"authors\":\"L. Andersson, A. Klarbring\",\"doi\":\"10.1098/rsta.2001.0908\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper gives a review of mathematical results of existence and uniqueness of solutions to problems of linear elasticity involving friction. Static, steady sliding and quasi-static problems are discussed. Both the case of a continuum body and that of a space-discrete one are treated. The intention is to describe the state of the art for these problems.\",\"PeriodicalId\":20023,\"journal\":{\"name\":\"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"29\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rsta.2001.0908\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rsta.2001.0908","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A review of the theory of static and quasi-static frictional contact problems in elasticity
This paper gives a review of mathematical results of existence and uniqueness of solutions to problems of linear elasticity involving friction. Static, steady sliding and quasi-static problems are discussed. Both the case of a continuum body and that of a space-discrete one are treated. The intention is to describe the state of the art for these problems.
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