Three-dimensional dynamic responses of a layered transversely isotropic half-space with irregular interfaces using the thin layer method

IF 5.3 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
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引用次数: 0

Abstract

This paper proposes a thin layer method (TLM) for computing 3D dynamic responses in a layered transversely isotropic (TI) half-space with irregular interfaces. Utilizing Fourier transforms and modal superposition, stiffness matrices for semi-infinite and finite-length thin layer elements are derived, enabling the simulation of wave propagation in the finite-depth domain with irregular interfaces. The complex frequency shifted perfectly matched layer (CFSPML) within the TLM framework is developed to simulate wave attenuation in the underlying TI half-space, addressing the instability issues of the classical PML in the TI medium. The finite-length thin layer element can be of arbitrary length and is independent of the frequency, thus enhancing computational efficiency compared to discrete numerical methods like the FEM. The accuracy of the proposed method is verified with existing methodologies. The dynamic responses of a two-layered TI half-space with a Gaussian-shaped interface induced by either surface or buried dynamic point loads are investigated. The influences of the position and size of the irregular interface, as well as the transversely isotropy, are analyzed. Numerical results demonstrate that the presence of the irregular interface significantly changes the distribution of displacement fields. The influence of the irregular interface is highly dependent on the loading frequency and observation position.
使用薄层法测量具有不规则界面的分层横向各向同性半空间的三维动态响应
本文提出了一种薄层法(TLM),用于计算具有不规则界面的分层横向各向同性(TI)半空间的三维动态响应。利用傅立叶变换和模态叠加,推导出半无限和有限长度薄层元素的刚度矩阵,从而能够模拟具有不规则界面的波在有限深度域中的传播。在 TLM 框架内开发了复杂频率偏移完全匹配层 (CFSPML),用于模拟底层 TI 半空间中的波衰减,解决了经典 PML 在 TI 介质中的不稳定性问题。有限长度薄层元素可以是任意长度,并且与频率无关,因此与有限元等离散数值方法相比,提高了计算效率。所提方法的准确性与现有方法进行了验证。研究了具有高斯形状界面的双层 TI 半空间在表面或埋入式动点载荷诱导下的动态响应。分析了不规则界面的位置和大小以及横向各向同性的影响。数值结果表明,不规则界面的存在极大地改变了位移场的分布。不规则界面的影响与加载频率和观测位置密切相关。
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来源期刊
Computers and Geotechnics
Computers and Geotechnics 地学-地球科学综合
CiteScore
9.10
自引率
15.10%
发文量
438
审稿时长
45 days
期刊介绍: The use of computers is firmly established in geotechnical engineering and continues to grow rapidly in both engineering practice and academe. The development of advanced numerical techniques and constitutive modeling, in conjunction with rapid developments in computer hardware, enables problems to be tackled that were unthinkable even a few years ago. Computers and Geotechnics provides an up-to-date reference for engineers and researchers engaged in computer aided analysis and research in geotechnical engineering. The journal is intended for an expeditious dissemination of advanced computer applications across a broad range of geotechnical topics. Contributions on advances in numerical algorithms, computer implementation of new constitutive models and probabilistic methods are especially encouraged.
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