Study on the transmission and reflection of stress waves across joints

Li, Yexue; Zhu, Zhixue; Li, Bixiong; Deng, Jianhui; Xie, Heping

doi:10.1016/j.ijrmms.2011.01.002

Cited by 52 publications

(20 citation statements)

References 22 publications

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“…The decreasing amplitude of the impactinduced vibration from 9 m to 2 m above the roof is basically the same as that in Scheme 1. The impact-induced vibration energy near the roadway is approximately 2 kJ, which is far smaller than the threshold value (25 kJ) for the occurrence of a rock burst [18].…”

Section: Establishment Of the Model And Simulation Schemesmentioning

confidence: 72%

Dissipation of Impact Stress Waves within the Artificial Blasting Damage Zone in the Surrounding Rocks of Deep Roadway

Ning

Wang

Tan

et al. 2016

Shock and Vibration

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Artificial explosions are commonly used to prevent rockburst in deep roadways. However, the dissipation of the impact stress wave within the artificial blasting damage zone (ABDZ) of the rocks surrounding a deep roadway has not yet been clarified. The surrounding rocks were divided into the elastic zone, blasting damage zone, plastic zone, and anchorage zone in this research. Meanwhile, the ABDZ was divided into the pulverizing area, fractured area, and cracked area from the inside out. Besides, the model of the normal incidence of the impact stress waves in the ABDZ was established; the attenuation coefficient of the amplitude of the impact stress waves was obtained after it passed through the intact rock mass, and ABDZ, to the anchorage zone. In addition, a numerical simulation was used to study the dynamic response of the vertical stress and impact-induced vibration energy in the surrounding rocks. By doing so, the dissipation of the impact stress waves within the ABDZ of the surrounding rocks was revealed. As demonstrated in the field application, the establishment of the ABDZ in the surrounding rocks reduced the effect of the impactinduced vibration energy on the anchorage support system of the roadway.

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Section: Establishment Of the Model And Simulation Schemesmentioning

confidence: 72%

Dissipation of Impact Stress Waves within the Artificial Blasting Damage Zone in the Surrounding Rocks of Deep Roadway

Ning

Wang

Tan

et al. 2016

Shock and Vibration

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“…In this paper, considering a coupled joint (0 < λ < 1), a normal deformation constitutive model of the joint (g-λ model) under static or quasi-static loading is introduced first and then extended to dynamic loading. Second, the finite difference formula suitable for transmitted wave's particle velocity is obtained found on the method of characteristics (MC) [5,19,22,28] and the displacement discontinuity method (DDM) [29][30][31][32][33]. e approximate analytic solutions of the transmission and reflection coefficients are deduced theoretically based on damage mechanics.…”

Section: Introductionmentioning

confidence: 99%

Transmission of Normal P‐Waves across a Single Joint Based on g‐λ Model

Fan

Zhang

et al. 2019

Shock and Vibration

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This paper investigates the wave transmission and reflection of an elastic P-wave at a single joint for normal incidence. First, considering a coupled joint (correction parameter λ, 0<λ<1), a normal deformation constitutive model of the joint (g‐λ model) under static or quasi-static loading is introduced and then extended to dynamic loading. The nonlinearity of the joint stress-deformation curve increases with increasing λ. Second, the interaction between the P-wave and the joint is investigated by using the method of characteristics and the displacement discontinuity method to deduce the differential expression of the transmitted wave’s particle velocity. The approximate analytical expressions of the transmission and reflection coefficients are obtained according to the Lemaitre equivalent strain assumption. Third, parametric studies are conducted to evaluate the effects of λ on transmission characteristics for a normally incident P-wave at a single joint. The results show that the particle velocity of the transmitted wave depends on λ. When λ takes the limit values 0 and 1, the transmitted wave’s particle velocities are then consistent with the conclusions of the classical exponential model and the Barton–Bandis model. In addition, the transmission and reflection coefficients are discussed with respect to λ and also to the ratio of the joint closure to the maximum allowable joint closure.

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“…It could demonstrate that, after several reflections from and transmission across the bends, energy is progressively smeared throughout the entire beam and does not concentrate at any particular segment. Li et al [12] developed a fractal damage joint model based on the fractal damage theory to investigate the transmission and reflection of stress waves across joints. e fractal geometrical characteristics of joint surfaces are investigated by using a laser profilometer to scan the joint surfaces in their study.…”

Section: Introductionmentioning

confidence: 99%

The Analysis of Stress Waves at a Junction of Beam and String

Chen

Wang

et al. 2018

Advances in Civil Engineering

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In the bridge engineering, there are some problems about the dynamics that traditional theory cannot solve. So, the theory about stress waves is introduced to solve the related problems. This is a new attempt that the mechanic theory is applied to practical engineering. The stress wave at a junction of the structure composed of beams and strings is investigated in this paper. The structure is studied because the existence of a soft rope makes the transmission of the force in the bridge structure different from the traditional theory, and it is the basis for further research. The equilibrium equations of the displacement and the internal force are built based on the hypothesis. The fast Fourier transform (FFT) numerical algorithm is used to express an incident pulse of arbitrary shape. The analytical solutions are substantiated by comparing with the finite element programs. The conclusion that if the cross section of the string is relatively small, then the energy density of the structure is relatively large, which is disadvantageous to the structure, can be obtained from this paper.

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Study on the transmission and reflection of stress waves across joints

Cited by 52 publications

References 22 publications

Dissipation of Impact Stress Waves within the Artificial Blasting Damage Zone in the Surrounding Rocks of Deep Roadway

Dissipation of Impact Stress Waves within the Artificial Blasting Damage Zone in the Surrounding Rocks of Deep Roadway

Transmission of Normal P‐Waves across a Single Joint Based on g‐λ Model

The Analysis of Stress Waves at a Junction of Beam and String

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