Dynamic Response of a Shallow Lined Tunnel to SH Waves in a Homogeneous Half Space

Ri, Song-Chol; Wang, Shuhong; Kim, Kyong-Chol

doi:10.3103/s0025654422060115

Cited by 3 publications

(4 citation statements)

References 32 publications

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“…A large number of scholars use the characteristics of wave to establish nondestructive testing method to study the defects of materials, and have achieved a lot of results [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Since Pao and Mow [1] used analyzed elastic wave in the whole space by separating time variable, elastic wave theory has been gradually improved and widely used in engineering.…”

Section: Introductionmentioning

confidence: 99%

“…These studies also include bi-material media and V-notch. Ri et al [2] presented scattering of plane SH waves by a lined tunnel buried in an inhomogeneous medium via the complex variable method. With the aid of the region matching method, Ri et al [3] investigated the dynamic behavior of a multi-layer inclusion embedded in right side of a bi-material half space subjected to SH waves.…”

Section: Introductionmentioning

confidence: 99%

“…Ri et al. [2] presented scattering of plane SH waves by a lined tunnel buried in an inhomogeneous medium via the complex variable method. With the aid of the region matching method, Ri et al.…”

Section: Introductionmentioning

confidence: 99%

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Anti‐plane stress analysis for V‐notch in a piezomagnetic half space under SH wave

Zhang,

2024

Z Angew Math Mech

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In this paper, the anti‐plane stress analysis of a V‐notch with complex boundary conditions in a piezomagnetic half space is studied. Firstly, SH wave is considered as an external load acting on piezomagnetic half space, on the basis of repeated image superposition, the analytical expression of scattering wave is conducted, which satisfies the boundary conditions on the boundary of the half space. Then, the analytical expression of standing wave is established, which satisfies the stress free and magnetic insulation conditions on the boundaries of V‐notch by the fractional Bessel function expansion method and Graf addition theorem. Finally, Green's function method is applied, the half space is divided into two parts along the vertical interface, a pair of in‐plane magnetic field and out‐plane forces are applied on the vertical interface, and the first kind of Fredholm integral equations are set up and solved by applying orthogonal function expansion technique and effective truncation. Results clarified the influence on the dynamic stress concentration factor and magnetic field intensity concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anti‐plane stress analysis for V‐notch in a piezomagnetic half space under SH wave

Zhang,

2024

Z Angew Math Mech

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“…The propagation and attenuation of the stress wave have been studied from a long time ago to now, especially in the application of rock mass engineering, such as seismic wave prevention [1][2], engineering blasting [3], impact vibration, and deeper mining protection [4][5]. However, due to the complexity of the actual rock mass environment and the internal structure of the rock mass itself, for example, the characteristics of local continuity or local discontinuity of rock mass, pore cracks, and multiphase media, [6][7][8] it is very difficult to study the propagation and attenuation of the stress waves in this kind of complex rock mass.…”

Section: Introductionmentioning

confidence: 99%

Propagation and attenuation of stress waves in heterogeneous elastic rods

Xie,

2023

J. Phys.: Conf. Ser.

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In this paper, the propagation and attenuation of stress waves induced by an integrable external load in an elastic rod with multiple inclusions are investigated. The traveling wave method is suggested for obtaining the reflection coefficient, transmission coefficient, and attenuation coefficient of the wave propagating from one media to another. Furthermore, the effects of wavelength and the size of inclusion on elastic wave propagation are calculated by the finite element method. The results show that the theoretical solution is fitted well with the finite element numerical results. The attenuation coefficient is influenced by material parameters, wavelength, and the number of inclusions. The smaller wavelength or more inclusions will incur the more obvious attenuation phenomenon. Moreover, the reflection coefficient and transmission coefficient are affected by the acoustic impedance ratio of the matrix and the inclusion. The results of this paper can be served as the theoretical basis for the study of wave propagation in heterogeneous materials.

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Dynamic response of shallow-buried circular composite lining tunnel with imperfect interface under SV waves

Cao

Fang

Zhu

et al. 2023

Waves in Random and Complex Media

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Dynamic Response of a Shallow Lined Tunnel to SH Waves in a Homogeneous Half Space

Cited by 3 publications

References 32 publications

Anti‐plane stress analysis for V‐notch in a piezomagnetic half space under SH wave

Anti‐plane stress analysis for V‐notch in a piezomagnetic half space under SH wave

Propagation and attenuation of stress waves in heterogeneous elastic rods

Dynamic response of shallow-buried circular composite lining tunnel with imperfect interface under SV waves

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