Evaluating orthotropic continuum analysis of stress wave propagation through a jointed rock mass

Babanouri, Nima; Fattahi, Hadi

doi:10.1007/s10064-016-0989-9

Cited by 11 publications

(5 citation statements)

References 19 publications

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“…Material properties of the layer and the half-space are given in Table 1 . 1 The layer thickness is chosen as

1000

. In order to obtain the phase and group velocity dispersion curves of Rayleigh waves in the joint structure via Eq.…”

Section: Resultsmentioning

confidence: 99%

“…A numerical analysis of stress wave propagation through a joint rock mass, including three orthogonal sets, was explored. 1 It used orthotropic continua to replace the discontinuous media and transferred the problem into an equivalent continuous model. The dynamic response agreed with the in-situ records and the response obtained by discrete modeling.…”

Section: Introductionmentioning

confidence: 99%

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Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Nguyen

Quy

et al. 2022

Science Progress

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The elastodynamics of an orthotropic half-space coated by a thin orthotropic layer is theoretically investigated in this article. We newly propose explicit expressions of free Rayleigh waves in a layered half-space that are dependent on only one unknown constant representing amplitude. The main contribution is on deriving, in a simple manner, the theoretical predictions of far-field Rayleigh wave motion arising from time-harmonic loads using elastodynamic reciprocity theorems. These are the very first closed-form exact solutions found for the forced motion of Rayleigh waves in a layered half-space of orthotropic materials. To demonstrate the theoretical results, computation of Rayleigh wave motion in a jointed rock, including a layer of quartz-schist and a half-space of soil, is considered. We present the phase and group dispersion curves superimposed with the amplitude spectra that provide useful information on wave modes, frequencies, and displacement amplitudes. The inclusion of the amplitude spectra in the dispersion curves is a significant improvement over other dispersion curves currently available in the literature. The analytical predictions are compared with numerical results found by finite element analysis, and they show excellent agreement for the cases of a uniform distributed load and a varying distributed load both applied over a strip on the layer surface. The calculations obtained in the current study could generally be very useful for applications in seismology and materials characterization of coated structures.

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“…Material properties of the layer and the half-space are given in Table 1 . 1 The layer thickness is chosen as

1000

. In order to obtain the phase and group velocity dispersion curves of Rayleigh waves in the joint structure via Eq.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Nguyen

Quy

et al. 2022

Science Progress

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“…where W d is the energy dissipation and σ i (t), σ r (t), and σ t (t) are incident, re ected, and transmitted waves, respectively. According to (5) and 7, the computing programs of incident, re ected, and transmitted wave energies and energy dissipation were compiled by using MATLAB2015. Stress wave data of 18 sandstone samples were input into the programs, thus calculating the energy value and dissipation of the stress wave.…”

Section: Quantitative Analysis Of E Ects Of Porosity On Stress Wavementioning

confidence: 99%

“…Some studies neglected some secondary factors or focused on influences of some parameters. eoretically, the effects of pores and joints on the stress wave propagation can be deduced [3][4][5][6]. e transmission and reflection coefficients of the stress wave after passing through a single joint were deduced with considerations to the effect of rough joint surface, based on fractal theory [7].…”

Section: Introductionmentioning

confidence: 99%

Effects of Porosity of Dry and Saturated Sandstone on the Energy Dissipation of Stress Wave

Wang

2019

Advances in Civil Engineering

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A SHPB experiment of porous sandstone was conducted to discuss the influencing principle of porosity on the energy dissipation of stress wave across dry and saturated porous sandstones. Changes in porosity before and after the SHPB experiment were analyzed by nuclear magnetic resonance. Results show that the number of wave peaks in the T2 spectrum before and after the impact test of sandstone is unchanged, but the wave peak value corresponding to small pores increases. This result indicates that the sandstone structure remains in the microcrack formation stage because the stress wave energy is adequate only for forming new microcracks but not for tearing pores and increasing pore diameter. Results further show that, at the same porosity, saturated sandstone consumes less energy than dry sandstone. With increased porosity, the energy dissipation of saturated sandstone decreases, whereas that of dry sandstone increases. This phenomenon can be explained based on three aspects. First, according to the fracture mechanics theory, the surface tension of water and Stefan effect significantly hinder crack expansion. Therefore, generating a new surface to dissipate stress wave energy of saturated sandstone is more difficult than that of dry sandstone under the same porosity. Second, during impact loading, saturated sandstone is in a nondrainage state, and its deformation can be viewed approximately as the sum of compressive deformation of sandstone and water. Water has smaller comprehensive deformation than sandstone. The deformation of saturated sandstone decreases with increased porosity, i.e., water content. Plastic deformation and the probability of new cracks decrease, so energy dissipation of saturated sandstone decreases. Third, with increased porosity, the dynamic strength of dry sandstone declines accordingly. Developing new cracks during loading to dissipate stress wave energy as surface energy is easy. Therefore, high porosity causes great energy dissipation.

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“…Based on the discrete element method (DEM) proposed by Cundall [20], the universal distinct element code (UDEC) has been widely used to calculate the propagation problems of stress waves in a jointed rock mass [21][22][23]. Furthermore, other numerical methods and software have been adopted to solve the problems involving the stress wave propagation in a rock mass, e.g., the particle manifold method (PMM) [24,25], the numerical manifold method (NMM) [26,27], the particle flow code (PFC) [28,29], and the three-dimensional element code (3DEC) [30]. However, the above theoretical, experimental, and numerical methods have mainly focused on the effect of the parameters of the joints, e.g., joint stiffness, joint spacing, joint number, and the parameters of the stress wave, e.g., waveform, amplitude, frequency, and the incident angle of stress wave on the stress wave propagation pattern, and have proposed that the attenuation of the stress wave only occurs at the joints, while it has been assumed that the intact rock is elastic.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Simulation of Blasting Stress Wave Propagation in a Jointed Rock Mass under Initial Stresses

Dong

Ying

et al. 2021

Applied Sciences

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The initial stresses have a strong effect on the mechanical behavior of underground rock masses, and the initial stressed rock masses are usually under strong dynamic disturbances such as blasting and earthquakes. The influence mechanism of a blasting excavation on underground rock masses can be revealed by studying the propagation of stress waves in them. In this paper, the improved Mohr-Coulomb elasto-plastic constitutive model of the intact rock considering the initial damage was first established and numerically implemented in Universal Distinct Element Code (UDEC) based on the variation of the experimental stress wave velocity in the initial stressed intact rock, and the feasibility of combining the established rock constitutive model and the BB (Bandis-Barton) model which characterizes the nonlinear deformation of the joints to simulate stress waves across jointed rock masses under initial stress was validated by comparing the numerical and model test results subsequently. Finally, further parameter studies were carried out through the UDEC to investigate the effect of the initial stress, angle, and number of joints on the transmission of the blasting stress wave in the jointed rock mass. The results showed that the initial stress significantly changed the propagation of the stress waves in the jointed rock mass. When the initial stress was small, the transmission coefficients of the stress waves in the jointed rock were vulnerable to be influenced by the variation of the angle and the number of joints, while the effect of the angle and the number of joints on the stress wave propagation gradually weakened as the initial stress increased.

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Evaluating orthotropic continuum analysis of stress wave propagation through a jointed rock mass

Cited by 11 publications

References 19 publications

Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Effects of Porosity of Dry and Saturated Sandstone on the Energy Dissipation of Stress Wave

A Numerical Simulation of Blasting Stress Wave Propagation in a Jointed Rock Mass under Initial Stresses

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