{"title":"Une résolution des minimax discrets appliquée au calcul à la rupture","authors":"Sylvain Turgeman, Mohamed Guessasma","doi":"10.1016/S1251-8069(97)86945-X","DOIUrl":null,"url":null,"abstract":"<div><p>The static extreme-load approach, under certain conditions, appears to be the solution of an unconstrained discrete minimax problem. It is shown that it is possible to eliminate the operator Max in this problem. The subsequent problem involves minimizing a regularized function without constraints. An application to the determination of the macroscopic strength of a punched material exhibits the efficiency of this method.</p></div>","PeriodicalId":100304,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1998-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1251-8069(97)86945-X","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S125180699786945X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The static extreme-load approach, under certain conditions, appears to be the solution of an unconstrained discrete minimax problem. It is shown that it is possible to eliminate the operator Max in this problem. The subsequent problem involves minimizing a regularized function without constraints. An application to the determination of the macroscopic strength of a punched material exhibits the efficiency of this method.
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