{"title":"The influence of the surface stress on the local buckling of a plate with a circular nanohole","authors":"A. Bochkarev, M. Grekov","doi":"10.1109/SCP.2015.7342150","DOIUrl":null,"url":null,"abstract":"The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn't get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn't get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.
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