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

Dongdong Liu, Xing Wei (), Chengbin Li, Chunguang Han, Xiaxi Cheng and Linlin Sun ()
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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

Mathematics, 2022, vol. 10, issue 22, 1-19

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.

Keywords: singular boundary method; meshless methods; exponential window method; saturated soil; transient dynamic response analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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