Frontiers of Structural and Civil Engineering
>> 2021,
Volume 15,
Issue 4
doi:
10.1007/s11709-021-0740-x
On subsurface box-shaped lined tunnel under incident SH-wave propagation
Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan 45156-58145, Iran;Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan 45156-58145, Iran
Received: 2021-04-11
Accepted: 2021-08-03
Available online: 2021-08-15
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Abstract
In this paper, a half-plane time-domain boundary element method is applied to obtain the seismic ground response, including a subsurface box-shaped lined tunnel deployed in a linear homogenous elastic medium exposed to obliquely incident SH-waves. Only the boundary around the tunnel is required to be discretized. To prepare an appropriate model by quadratic elements, a double-node procedure is used to receive dual boundary fields at corners as well as change the direction of the normal vector. After encoding the method in a previously confirmed computer program, a numerical study is carried out to sensitize some effective parameters, including frequency content and incident wave angle for obtaining a surface response. The depth and impedance ratio of the lining are assumed to be unvaried. The responses are illustrated in the time and frequency domains as two/three-dimensional graphs. The results showed that subsurface openings with sharp corners distorted the propagation path of the anti-plane waves to achieve the critical states on the ground surface. The present approach can be proposed to civil engineers for preparing simple underground box-shaped models with angular boundaries.
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