A multi-domain singular boundary method for dynamic analysis of multilayered saturated porous media

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-09-20 DOI:10.1016/j.enganabound.2024.105967

Xinhui Chen , Xiaxi Cheng , Mingcan Liu , Xing Wei , Yang Yu , Shenshen Chen

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Abstract

The singular boundary method (SBM) is a boundary-only meshless collocation method, but it is not applicable to solve multi-material cases directly with closed-form fundamental solutions. In this study, a semi-analytical boundary-only approach, multi-domain SBM (MD-SBM), is firstly formulated to study the dynamic analysis of multilayered saturated porous media. Firstly, the domain is divided into several subdomains with the consistent material. Then, the singular boundary method (SBM) simulates the dynamic response in each subdomain via a linear combination of fundamental solutions. The source singularity issue is removed by the origin intensity factors (OIFs) rather than singular integrals in the BEM. Finally, the SBM solutions in each layer are coupled by the continuity and compatibility conditions on the interface boundaries between adjacent layers. The SBM does not require domain discretization and desingularizes the source singularity with simple formulas. Thus, it is easy to implement. The MD-SBM is tested to both finite and semi-infinite cases to illustrate its accuracy and feasibility. It is worthnoting that the closed-form fundamental solutions can be directly applied to the semi-infinite cases without requiring additional modifications.

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用于多层饱和多孔介质动态分析的多域奇异边界法

奇异边界法（SBM）是一种仅边界的无网格配准方法，但它并不适用于直接求解多材料情况下的闭式基本解。本研究首先提出了一种半解析唯边界方法，即多域 SBM（MD-SBM），用于研究多层饱和多孔介质的动力学分析。首先，用一致的材料将域划分为多个子域。然后，奇异边界法（SBM）通过基本解的线性组合模拟每个子域的动态响应。通过原点强度因子（OIF）而不是 BEM 中的奇异积分，可以消除源奇异性问题。最后，相邻层之间界面边界上的连续性和兼容性条件将各层中的 SBM 解耦合在一起。SBM 不要求域离散化，并通过简单的公式对源奇异性进行去奇异化。因此，它很容易实现。为了说明 MD-SBM 的准确性和可行性，对有限和半无限情况都进行了测试。值得注意的是，闭式基本解可以直接应用于半无限情况，无需额外修改。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

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.