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Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method

Author

Listed:
  • Dongdong Liu

    (Jiangxi Key Laboratory of Disaster Prevention, Mitigation and Emergency Management, School of Civil Engineering & Architecture, East China Jiaotong University, Nanchang 330013, China)

  • Xing Wei

    (Jiangxi Key Laboratory of Disaster Prevention, Mitigation and Emergency Management, School of Civil Engineering & Architecture, East China Jiaotong University, Nanchang 330013, China)

  • Chengbin Li

    (China Railway Construction Bridge Engineering Bureau Group Co., Ltd., Tianjin 300000, China)

  • Chunguang Han

    (China Railway Construction Bridge Engineering Bureau Group Co., Ltd., Tianjin 300000, China)

  • Xiaxi Cheng

    (Jiangxi Key Laboratory of Disaster Prevention, Mitigation and Emergency Management, School of Civil Engineering & Architecture, East China Jiaotong University, Nanchang 330013, China)

  • Linlin Sun

    (School of Science, Nantong University, Nantong 226019, China)

Abstract

In this paper, the singular boundary method (SBM) in conjunction with the exponential window method (EWM) is firstly extended to simulate the transient dynamic response of two-dimensional saturated soil. The frequency-domain (Fourier space) governing equations of Biot theory is solved by the SBM with a linear combination of the fundamental solutions. In order to avoid the perplexing fictitious boundary in the method of fundamental solution (MFS), the SBM places the source point on the physical boundary and eliminates the source singularity of the fundamental solution via the origin intensity factors (OIFs). The EWM is carried out for the inverse Fourier transform, which transforms the frequency-domain solutions into the time-domain solutions. The accuracy and feasibility of the SBM-EWM are verified by three numerical examples. The numerical comparison between the MFS and SBM indicates that the SBM takes a quarter of the time taken by the MFS.

Suggested Citation

  • Dongdong Liu & Xing Wei & Chengbin Li & Chunguang Han & Xiaxi Cheng & Linlin Sun, 2022. "Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method," Mathematics, MDPI, vol. 10(22), pages 1-19, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4323-:d:976151
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    References listed on IDEAS

    as
    1. Chai, Yingbin & Li, Wei & Liu, Zuyuan, 2022. "Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    2. Weiwei Li & Fajie Wang, 2022. "Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering," Mathematics, MDPI, vol. 10(2), pages 1-9, January.
    3. Sun, Linlin & Fu, Zhuojia & Chen, Zhikang, 2023. "A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis," Applied Mathematics and Computation, Elsevier, vol. 439(C).
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