Reflection and refraction laws of low amplitude stress wave on a 3D rock joint surface

被引：0
|
作者：
Liu C. [1 ,2 ]
Zhang J. [3 ]
Cui P. [1 ]
机构：
[1] Key Laboratory of Mountain Hazards and Earth Surface Processes, Institute of Mountain Hazards and Environment, Chinese Academy of Science, Chengdu
[2] School of Engineering Science, University of Chinese Academy of Science, Beijing
[3] School of Civil Engineering, Southwest Jiaotong University, Chengdu
来源：
| 2018年 / Chinese Vibration Engineering Society卷 / 37期
关键词：
3D rough rock joint; Displacement discontinue method(DDM); Stress wave;
D O I：
10.13465/j.cnki.jvs.2018.15.009
中图分类号：
学科分类号：
摘要：
Abstract: In dynamic rock engineering, the existence of rock joint has a large influence on stress wave propagation and energy transmission in rock, and it affects dynamic response characteristics of geotechnical engineering. In the past studies, effects of complex surface morphology of 3D rock joint on stress wave's propagation were rarely investigated theoretically. Here, the general form of a 3D rock joint surface's stress-deformation constitutive equation was analyzed based on the microscopic contact theory. The relationship between planar harmonic wave propagation and stress-deformation on a 3D rock joint surface was analyzed. Analytical solutions to P-wave, SV-one and SH-one' reflection and refraction laws on a 3D rock joint surface were derived using the displacement discontinue method (DDM). Based on the theoretical analysis and derivation, the parametric analysis was performed to analyze effects of stress wave's incident angle and rock joint's cross-coupled stiffness coefficients on stress wave's reflection and refraction. The study showed that on a 3D rock joint surface, P-wave, SV-one and SH-one can be transformed into each other when cross-coupled stiffness terms in rock joint surface's constitutive equation are nonzero; increasing cross-coupled stiffness terms can increase amplitude coefficients of transformed waves and isomorphic reflected ones, and decrease those of isomorphic refracted ones. © 2018, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：68 / 77
页数：9
相关论文
共 21 条
  • [1] Belem T., Homand-Etienne F., Souley M., Quantitative parameters for rock joint surface roughness, Rock Mechanics and Rock Engneering, 33, 4, pp. 217-242, (2000)
  • [2] Sun F., She C., Jiang Q., A new fractal description method for three-dimensional roughness surface of rock joint, Rock and Soil Mechanics, 34, 8, pp. 2238-2242, (2013)
  • [3] Jing L., Nordlund E., Stephansson O., An experimental study on the anisotropy and stress-dependency of the strengh and deformability of rock joint, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 29, 6, pp. 535-542, (1992)
  • [4] Jing L., Nordlund E., Stephansson O., A 3D constitutive model for rock joints with anisotropy friction and stress dependency in shear stiffness, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 31, 2, pp. 173-178, (1994)
  • [5] Wang G., Yin X., 3D constitutive relation for rockjoints during cyclic loading, Journal of Tsinghua University(Science & Technology), 45, 9, pp. 1193-1197, (2005)
  • [6] Misra A., Micromechanical model for anisotropic rock joints, Journal of Geophysical Research, 104, 10, pp. 23175-23187, (1999)
  • [7] Schoenberg M., Reflection of elastic waves from periodically stratified media with interfacial SLIP, Geophysical Prospecting, 31, 2, pp. 265-292, (1983)
  • [8] Myer L.R., Hopkins D., Cook N.G.W., Effects of contact area of an interface on acoustic wave refraction characteristics, 26th US Rock Mechanics Symposium, (1985)
  • [9] Myer L.R., Pyrak-Nolte L.J., Cook N.G.W., Effects of single fracture on seismic wave propagation, ISRM Symposium on Rock Fractures, (1990)
  • [10] Pyrak-Nolte L.J., Myer L.R., Cook N.G.W., Refraction of seismic waves across single natural fractures, Journal of Geophysical Research Solid Earth, 95, 6, pp. 8617-8638, (1990)
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