The multiple scattering effect of elastic waves propagation in an inhomogeneous medium

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-10-08 DOI:10.1016/j.enganabound.2024.105983

Lingyan Shen, Keyan Li , Yonggui Liu, Xiaofei Ji, Boyang Zhang, Zhibin Lin

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引用次数: 0

Abstract

Unraveling the elastic wave propagating in an inhomogeneous medium is critical from both scientific and engineering viewpoints. Here, we propose and validate a double defects model based on unified mechanics framework to study the multiple scattering effect induced by the interaction between elastic waves and defects. The governing equations describing the dispersion and attenuation in frequency space are derived. In order to describe the multiple scattering effect, the Green's function method is employed together with the discrete boundary element method to establish the relation of macroscopic defect density and microscopic defect structure. The results show that the multiple scattering effect originates from the interaction between adjacent defects, and the limit of the multiple scattering (strong interaction) is approximately 6 times the characteristic length of the defect, namely the affected area of a single defect. Due to the stronger interaction, wave velocity decays more seriously for higher defects density than those in the lower density, and there exists no strong coupling between multi-scattering effect and multi-scale effect. The present work provides an efficient way to understand the multi-scattering effect of elastic waves in an inhomogeneous medium.

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弹性波在非均质介质中传播的多重散射效应

从科学和工程的角度来看，揭示在非均质介质中传播的弹性波至关重要。在此，我们提出并验证了基于统一力学框架的双缺陷模型，以研究弹性波与缺陷之间的相互作用引起的多重散射效应。推导出了描述频率空间中的频散和衰减的支配方程。为了描述多重散射效应，采用了格林函数法和离散边界元法来建立宏观缺陷密度和微观缺陷结构的关系。结果表明，多重散射效应源于相邻缺陷之间的相互作用，多重散射的极限（强相互作用）约为缺陷特征长度的 6 倍，即单个缺陷的影响区域。由于强相互作用，高密度缺陷的波速衰减比低密度缺陷的波速衰减更严重，多重散射效应与多尺度效应之间不存在强耦合。本研究为理解非均质介质中弹性波的多重散射效应提供了一种有效的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.