{"title":"用变形网格界面计算任意轴对称光滑轮廓刚性压头造成的不可压缩层压痕的方法","authors":"Young Ju Ahn","doi":"10.1007/s13367-024-00100-6","DOIUrl":null,"url":null,"abstract":"<div><p>The research introduces a numerical method for solving the problem of an axisymmetric rigid smooth body indenting an incompressible elastic layer. This study proposes a computational approach with the deformed mesh interface in the COMSOL Multiphysics software, which allows the discretized interior nodes to move by solving PDEs for the mesh displacements with the given <i>slope</i> boundary condition. The proposed method is applied to the indentation problems with spherical and conical smooth axisymmetric indenters. The results are in a good agreement with the analytical solutions, and the method shows rapid convergence.</p><h3>Graphical abstract</h3>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":683,"journal":{"name":"Korea-Australia Rheology Journal","volume":"36 3","pages":"169 - 177"},"PeriodicalIF":2.2000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The computational method with the deformed mesh interfaces for an incompressible layer indentation by rigid indenters with arbitrary axisymmetric smooth profiles\",\"authors\":\"Young Ju Ahn\",\"doi\":\"10.1007/s13367-024-00100-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The research introduces a numerical method for solving the problem of an axisymmetric rigid smooth body indenting an incompressible elastic layer. This study proposes a computational approach with the deformed mesh interface in the COMSOL Multiphysics software, which allows the discretized interior nodes to move by solving PDEs for the mesh displacements with the given <i>slope</i> boundary condition. The proposed method is applied to the indentation problems with spherical and conical smooth axisymmetric indenters. The results are in a good agreement with the analytical solutions, and the method shows rapid convergence.</p><h3>Graphical abstract</h3>\\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":683,\"journal\":{\"name\":\"Korea-Australia Rheology Journal\",\"volume\":\"36 3\",\"pages\":\"169 - 177\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Korea-Australia Rheology Journal\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13367-024-00100-6\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Korea-Australia Rheology Journal","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s13367-024-00100-6","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
The computational method with the deformed mesh interfaces for an incompressible layer indentation by rigid indenters with arbitrary axisymmetric smooth profiles
The research introduces a numerical method for solving the problem of an axisymmetric rigid smooth body indenting an incompressible elastic layer. This study proposes a computational approach with the deformed mesh interface in the COMSOL Multiphysics software, which allows the discretized interior nodes to move by solving PDEs for the mesh displacements with the given slope boundary condition. The proposed method is applied to the indentation problems with spherical and conical smooth axisymmetric indenters. The results are in a good agreement with the analytical solutions, and the method shows rapid convergence.
期刊介绍：
The Korea-Australia Rheology Journal is devoted to fundamental and applied research with immediate or potential value in rheology, covering the science of the deformation and flow of materials. Emphases are placed on experimental and numerical advances in the areas of complex fluids. The journal offers insight into characterization and understanding of technologically important materials with a wide range of practical applications.
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