Dynamic Analysis for a Shallow Isosceles Trapezoid Depression Impacted by SH Waves
Publication: International Journal of Geomechanics
Volume 23, Issue 8
Abstract
This paper presents a series solution of shear horizontal (SH) wave scattering by a shallow isosceles trapezoid depression in half-space. An appropriate multiregion-matching technique was adopted to divide the analytical model into three parts, which is necessary to meet the conditions of applying the wave function expansion method. Based on the complex function method, the wave field expressions, satisfying stress-free boundary conditions, were constructed. In addition, introducing complex variables avoided the redundant formula derivation for the implementation of coordinate transformation. The unknown coefficients in the wave field expressions were solved by Fourier series expansion in a complex field, and the convergence analysis was carried out to determine the number of traction terms of the series solution. Frequency-domain and time-domain results were presented to analyze the wave motion amplification and propagation process. The proposed method not only provides a benchmark for numerical simulation results but also makes up for the limitations of the theoretical research method of trapezoidal depression topography.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is supported by the National Natural Science Foundation of China [Grant Number U2239252], the Natural Science Foundation of Heilongjiang Province of China [Grant Number ZD2021A001], and the Program for Innovative Research Team in China Earthquake Administration.
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Published In
International Journal of Geomechanics
Volume 23 • Issue 8 • August 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Oct 20, 2022
Accepted: Mar 25, 2023
Published online: Jun 13, 2023
Published in print: Aug 1, 2023
Discussion open until: Nov 13, 2023
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