Pascal Sansen , Philippe Dufrénoy , Dieter Weichert
{"title":"Indépendance de l'intégrale de contour pour une symétrie de dilatation","authors":"Pascal Sansen , Philippe Dufrénoy , Dieter Weichert","doi":"10.1016/S1287-4620(00)87503-1","DOIUrl":null,"url":null,"abstract":"<div><p>Knowles and Sternberg gave the definition of the M integral relative to the dilatational symmetry in the elasticity domain. The path domain independence of this integral correspond to some very restricted applications. We propose to enlarge the field of application in defining for every type of transformation a modified path domain independent M integral. The demonstration that this conservation law is associate to the transformation is considered.</p></div>","PeriodicalId":100303,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","volume":"327 14","pages":"Pages 1351-1354"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1287-4620(00)87503-1","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1287462000875031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Knowles and Sternberg gave the definition of the M integral relative to the dilatational symmetry in the elasticity domain. The path domain independence of this integral correspond to some very restricted applications. We propose to enlarge the field of application in defining for every type of transformation a modified path domain independent M integral. The demonstration that this conservation law is associate to the transformation is considered.