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| Reflection and refraction laws of low amplitude stress wave on a 3-D rock joint surface |
| LIU Chuanzheng1,2, ZHANG Jianjing3, CUI Peng1 |
1.Key Laboratory of Mountain Hazards and Earth Surface Processes,Institute of Mountain Hazards and Environment,Chinese Academy of Science,Chengdu 610041,China;
2.School of Engineering Science,University of Chinese Academy of Science,Beijing 100049,China;
3.School of Civil Engineering,Southwest Jiaotong University, Chengdu 610031,China |
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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 3-D rock joint on stress wave’s propagation were rarely investigated theoretically. Here, the general form of a 3-D 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 3-D rock joint surface was analyzed. Analytical solutions to P-wave, SV-one and SH-one’ reflection and refraction laws on a 3-D 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 3-D 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.
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Received: 13 February 2017
Published: 28 July 2018
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