{"title":"圆形刚性板非对称压痕作用下非均质土工材料介质的弹性场","authors":"Sha Xiao , Zhongqi Quentin Yue","doi":"10.1016/j.enganabound.2024.106098","DOIUrl":null,"url":null,"abstract":"<div><div>This paper examines the contact problem of a heterogeneous geo-material medium indented by a circular rigid plate. The rigid plate is subjected to an applied moment about a horizontal axis. An <em>n</em>-layered half-space model is employed to analyze a heterogeneous geo-material half-space. The mathematical formulation of the <em>n</em>-layered half-space model is derived using classical integral transforms and a Fredholm integral equation of the second kind. Numerical methods are developed to solve the proposed analytical model. Numerical verification demonstrates that the layered approach can provide accurate solutions for the contact problem of the heterogeneous half-space with arbitrarily variable elastic constants in depth. Numerical results reveal the influence of geo-material heterogeneity on the elastic field of a heterogeneous medium under antisymmetric loading on a circular rigid plate.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106098"},"PeriodicalIF":4.2000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elastic fields for a heterogeneous geo-material medium under antisymmetric indentation of a circular rigid plate\",\"authors\":\"Sha Xiao , Zhongqi Quentin Yue\",\"doi\":\"10.1016/j.enganabound.2024.106098\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper examines the contact problem of a heterogeneous geo-material medium indented by a circular rigid plate. The rigid plate is subjected to an applied moment about a horizontal axis. An <em>n</em>-layered half-space model is employed to analyze a heterogeneous geo-material half-space. The mathematical formulation of the <em>n</em>-layered half-space model is derived using classical integral transforms and a Fredholm integral equation of the second kind. Numerical methods are developed to solve the proposed analytical model. Numerical verification demonstrates that the layered approach can provide accurate solutions for the contact problem of the heterogeneous half-space with arbitrarily variable elastic constants in depth. Numerical results reveal the influence of geo-material heterogeneity on the elastic field of a heterogeneous medium under antisymmetric loading on a circular rigid plate.</div></div>\",\"PeriodicalId\":51039,\"journal\":{\"name\":\"Engineering Analysis with Boundary Elements\",\"volume\":\"171 \",\"pages\":\"Article 106098\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2025-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Analysis with Boundary Elements\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S095579972400571X\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S095579972400571X","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
Elastic fields for a heterogeneous geo-material medium under antisymmetric indentation of a circular rigid plate
This paper examines the contact problem of a heterogeneous geo-material medium indented by a circular rigid plate. The rigid plate is subjected to an applied moment about a horizontal axis. An n-layered half-space model is employed to analyze a heterogeneous geo-material half-space. The mathematical formulation of the n-layered half-space model is derived using classical integral transforms and a Fredholm integral equation of the second kind. Numerical methods are developed to solve the proposed analytical model. Numerical verification demonstrates that the layered approach can provide accurate solutions for the contact problem of the heterogeneous half-space with arbitrarily variable elastic constants in depth. Numerical results reveal the influence of geo-material heterogeneity on the elastic field of a heterogeneous medium under antisymmetric loading on a circular rigid plate.
期刊介绍:
This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods.
Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness.
The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields.
In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research.
The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods
Fields Covered:
• Boundary Element Methods (BEM)
• Mesh Reduction Methods (MRM)
• Meshless Methods
• Integral Equations
• Applications of BEM/MRM in Engineering
• Numerical Methods related to BEM/MRM
• Computational Techniques
• Combination of Different Methods
• Advanced Formulations.