Volume 1, Issue 1 — Year 2024 — Article e100011

ISSN (Online): 3115-8129 Biannually

Enhanced Analysis of Non-Homogeneous Unbounded Soil Media using SBFE Method

Article Type: Research
Pages: e100011
DOI: https://doi.org/10.22034/CGEL.1.1.e100011
Crossmark
Open Access
Authors
Affiliations
  1. Department of Civil Engineering, University of Tabriz, Tabriz 5166616471, Iran
  2. Department of Civil Engineering, University of Tabriz, Tabriz 5166616471, Iran
Corresponding author
Email: kamyab.abd@yahoo.com
Received: 12 July 2024 / Accepted: 22 July 2024 / Published: 25 August 2024
Abstract

Modeling radiation damping effects in wave propagation is complex, and various numerical, analytical, and semi-analytical methods have been proposed to address the problem. The scaled boundary method (SBM) is an efficient semi-analytical approach for analyzing dynamic wave propagation in non-homogeneous, unbounded media. While previous studies often focused on acceleration or displacement unit impulse response-based techniques, this paper introduces a velocity unit impulse response (VUIR)-based SBM for more efficient computation. The authors modified the original VUIRbased SBM formulation to directly derive the dynamic interaction force for non-homogeneous infinite media, bypassing the need to convert velocity responses into displacements. To validate the method, several benchmark numerical examples are solved. The method is shown to be effective in analyzing dynamic wave propagation in both homogeneous and nonhomogeneous unbounded media, including full and half-plane wave propagation scenarios. In these cases, Young’s modulus is treated as a function of radius, and results are compared with those from the extended mesh method and analytical solutions (where available). The results demonstrate that the VUIR-based SBM significantly reduces computational effort, particularly by reducing cut-off time. For example, choosing a cut-off time of 300 can lead to up to a 91% reduction in computational effort. This makes the VUIR-based SBM a highly efficient tool for solving dynamic wave propagation problems.

Keywords

Scaled boundary method; Velocity; Semi-analytical method; Unbounded domains; Non-homogeneous; Cut-off time.

Data availability statement

The data supporting the findings of this study are available within article. No publicly archived dataset was generated.

Funding

This research received no external funding.

Highlights
  • VUIR-based SBM models wave propagation efficiently
  • Method reduces computation time significantly
  • Accurate for homogeneous and non-homogeneous media
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How to cite
Abdolnajaghi, K., & Abbaspour, Z. (2024). Enhanced Analysis of Non-Homogeneous Unbounded Soil Media using SBFE Method. Civil and Geoengineering Letters, 1(1), e100011. https://doi.org/10.22034/CGEL.1.1.e100011
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