Dynamic response of a lined tunnel to plane SH waves in a bi-material space

In this paper, an analytical solution for the scattering of plane SH waves by a lined tunnel buried in an inhomogeneous medium is presented via the complex variable method. The problem model is a bi-material with a homogeneous medium containing a circular cavity and an inhomogeneous one embedding a...

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Bibliographic Details
Published in:Meccanica (Milan) 2023-07, Vol.58 (7), p.1427-1441
Main Authors: Ri, Song-Chol, Wang, Shuhong, Jin, Hak-Son
Format: Article
Language:English
Subjects:
Automotive Engineering
Boundary conditions
Civil Engineering
Classical Mechanics
Complex variables
Conformal mapping
Dynamic response
Engineering
Exact solutions
Inhomogeneous media
Mechanical Engineering
SH waves
Stress concentration
Tunnels
Wave functions
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Summary:In this paper, an analytical solution for the scattering of plane SH waves by a lined tunnel buried in an inhomogeneous medium is presented via the complex variable method. The problem model is a bi-material with a homogeneous medium containing a circular cavity and an inhomogeneous one embedding a lined tunnel. For the convenience of calculation, the physical domain including straight and circular interfaces is transformed into the image plane with four concentric circles by introducing the conformal mapping functions. The boundary conditions are applied to find the unknown coefficients of the wave functions. Then, the factors affecting the dynamic response to SH wave are investigated through the calculation results for the dynamic stress concentration factor (DSCF) at several boundary surfaces.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-023-01680-3