A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining

This paper presents a closed-form series solution of cylindrical SH-wave scattering by the surrounding loose rock zone of underground tunnel lining in a uniform half-space based on the wave function expansion method and the mirror image method. The correctness of the series solution is verified thro...

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Autores principales:	Liguo Jin, Hongyang Sun, Shengnian Wang, Zhenghua Zhou
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	Underground tunnel Lining SH-wave Analytic solution Wave function expansion method Physics QC1-999
Acceso en línea:	https://doaj.org/article/0e36ab6f1eb241a7b95176b4973e2bf2
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spelling	oai:doaj.org-article:0e36ab6f1eb241a7b95176b4973e2bf22021-11-15T05:01:46ZA Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining2296-424X10.3389/fphy.2021.772823https://doaj.org/article/0e36ab6f1eb241a7b95176b4973e2bf22021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fphy.2021.772823/fullhttps://doaj.org/toc/2296-424XThis paper presents a closed-form series solution of cylindrical SH-wave scattering by the surrounding loose rock zone of underground tunnel lining in a uniform half-space based on the wave function expansion method and the mirror image method. The correctness of the series solution is verified through residual convergence and comparison with the published results. The influence of the frequency of the incident cylindrical SH-wave, the distance between the wave source and the lining, the lining buried depth, and the properties of the surrounding loose rock zone on the dynamic stress concentration of the tunnel lining is investigated. The results show that the incident wave with high frequency always makes the dynamic stress concentration of the tunnel lining obvious. With the increase of the distance between the wave source and the tunnel lining, the stress around the tunnel lining decreases, but the dynamic stress concentration factor around the tunnel lining does not decrease significantly but occasionally increases. The ground surface has a great influence on the stress concentration of the tunnel lining. The amplitude of the stress concentration factor of tunnel lining is highly related to the shear wave velocity of the surrounding loose rock zone. When the property of the surrounding rock (shear wave velocity) changes more, the amplitude of the stress concentration factor is larger, that is, the stress concentration is more significant.Liguo JinHongyang SunShengnian WangZhenghua ZhouZhenghua ZhouFrontiers Media S.A.articleUnderground tunnelLiningSH-waveAnalytic solutionWave function expansion methodPhysicsQC1-999ENFrontiers in Physics, Vol 9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Underground tunnel Lining SH-wave Analytic solution Wave function expansion method Physics QC1-999
spellingShingle	Underground tunnel Lining SH-wave Analytic solution Wave function expansion method Physics QC1-999 Liguo Jin Hongyang Sun Shengnian Wang Zhenghua Zhou Zhenghua Zhou A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining
description	This paper presents a closed-form series solution of cylindrical SH-wave scattering by the surrounding loose rock zone of underground tunnel lining in a uniform half-space based on the wave function expansion method and the mirror image method. The correctness of the series solution is verified through residual convergence and comparison with the published results. The influence of the frequency of the incident cylindrical SH-wave, the distance between the wave source and the lining, the lining buried depth, and the properties of the surrounding loose rock zone on the dynamic stress concentration of the tunnel lining is investigated. The results show that the incident wave with high frequency always makes the dynamic stress concentration of the tunnel lining obvious. With the increase of the distance between the wave source and the tunnel lining, the stress around the tunnel lining decreases, but the dynamic stress concentration factor around the tunnel lining does not decrease significantly but occasionally increases. The ground surface has a great influence on the stress concentration of the tunnel lining. The amplitude of the stress concentration factor of tunnel lining is highly related to the shear wave velocity of the surrounding loose rock zone. When the property of the surrounding rock (shear wave velocity) changes more, the amplitude of the stress concentration factor is larger, that is, the stress concentration is more significant.
format	article
author	Liguo Jin Hongyang Sun Shengnian Wang Zhenghua Zhou Zhenghua Zhou
author_facet	Liguo Jin Hongyang Sun Shengnian Wang Zhenghua Zhou Zhenghua Zhou
author_sort	Liguo Jin
title	A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining
title_short	A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining
title_full	A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining
title_fullStr	A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining
title_full_unstemmed	A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining
title_sort	series solution for 2d scattering of cylindrical sh-waves by surrounding loose rock zone of underground tunnel lining
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/0e36ab6f1eb241a7b95176b4973e2bf2
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A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining

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