Numerical study on oblique incidence across rock masses with linear and nonlinear joints
The two-dimensional discrete element program Universal Distinct Element Code (UDEC) is applied to simulate stress wave propagation across linear and nonlinear rock joints with arbitrary incident angles. The numerical study for stress wave obliquely impinging upon a single linearly elastic joint is f...
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Published in | Arabian journal of geosciences Vol. 9; no. 1; pp. 1 - 8 |
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Main Authors | , , , , , , |
Format | Journal Article |
Language | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
2016
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Subjects | |
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Abstract | The two-dimensional discrete element program Universal Distinct Element Code (UDEC) is applied to simulate stress wave propagation across linear and nonlinear rock joints with arbitrary incident angles. The numerical study for stress wave obliquely impinging upon a single linearly elastic joint is firstly conducted. For this case, the wave-type transformation is analyzed and the variations of transmission and reflection coefficients with joint stiffness and incident angle are investigated numerically. It is found that numerical results agree well with those from existing theoretical methods, which demonstrates the feasibility of using UDEC to simulate the propagation of obliquely incident stress wave across a single joint. Furthermore, the transmission of obliquely incident waves across a set of parallel joints is investigated and compared with analytical solutions when the joints are linearly and nonlinearly elastic, respectively. The numerical results indicate that the parameters, such as the joint number, the joint spacing and the mechanical property of joints, have great influence on wave propagation through joints. The results in the present study may provide a reference for revealing stress wave propagation across jointed rock masses and the responses of rock masses subjected to dynamic loads. |
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AbstractList | The two-dimensional discrete element program Universal Distinct Element Code (UDEC) is applied to simulate stress wave propagation across linear and nonlinear rock joints with arbitrary incident angles. The numerical study for stress wave obliquely impinging upon a single linearly elastic joint is firstly conducted. For this case, the wave-type transformation is analyzed and the variations of transmission and reflection coefficients with joint stiffness and incident angle are investigated numerically. It is found that numerical results agree well with those from existing theoretical methods, which demonstrates the feasibility of using UDEC to simulate the propagation of obliquely incident stress wave across a single joint. Furthermore, the transmission of obliquely incident waves across a set of parallel joints is investigated and compared with analytical solutions when the joints are linearly and nonlinearly elastic, respectively. The numerical results indicate that the parameters, such as the joint number, the joint spacing and the mechanical property of joints, have great influence on wave propagation through joints. The results in the present study may provide a reference for revealing stress wave propagation across jointed rock masses and the responses of rock masses subjected to dynamic loads. |
ArticleNumber | 20 |
Author | Li, Haibo Liu, Bo Li, Jianchun Liu, Tingting Yang, Fengwei Xia, Xiang Liu, Yaqun |
Author_xml | – sequence: 1 givenname: Haibo surname: Li fullname: Li, Haibo organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences – sequence: 2 givenname: Yaqun surname: Liu fullname: Liu, Yaqun email: yqliu@whrsm.ac.cn organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences – sequence: 3 givenname: Jianchun surname: Li fullname: Li, Jianchun organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences – sequence: 4 givenname: Fengwei surname: Yang fullname: Yang, Fengwei organization: Yellow River Engineering Consultant Co. Ltd – sequence: 5 givenname: Tingting surname: Liu fullname: Liu, Tingting organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences – sequence: 6 givenname: Xiang surname: Xia fullname: Xia, Xiang organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences – sequence: 7 givenname: Bo surname: Liu fullname: Liu, Bo organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences |
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Cites_doi | 10.1093/gji/ggt020 10.1007/s006030170023 10.1029/JB095iB06p08617 10.1002/nag.2104 10.1061/(ASCE)0733-9399(2006)132:6(641) 10.1007/s00603-010-0109-2 10.1016/j.compgeo.2007.01.002 10.1016/S0148-9062(96)00022-8 10.1016/j.ijrmms.2005.12.007 10.1016/j.compgeo.2003.11.002 10.1007/s00603-009-0062-0 10.1016/S1365-1609(00)00013-7 10.1121/1.385077 10.1007/s00603-012-0287-1 |
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Keywords | Wave propagation Linear and nonlinear joint Rock mass Oblique incidence Numerical study |
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References | Li (CR8) 2013; 193 Schoenberg (CR12) 1980; 68 Li, Ma, Zhao (CR7) 2011; 44 Zhu, Deng, Zhao, Zhao (CR17) 2013 Pyrak-Nolte, Myer, Cook (CR10) 1990; 95 Deng, Zhu, Chen, Zhao (CR2) 2012; 45 Sun, Zhao, Zhao (CR13) 2013; 37 Zhao, Cai (CR14) 2001; 34 Zhao, Zhao, Cai (CR16) 2006; 43 Zhao, Zhao, Hefny, Cai (CR15) 2006; 132 Li, Ma (CR6) 2010; 43 Fan, Jiao, Zhao (CR3) 2004; 31 Lei, Hefny, Yan, Teng (CR5) 2007; 34 Goodman (CR4) 1976 Cai, Zhao (CR1) 2000; 37 Pyrak-Nolte (CR11) 1996; 33 Lysmer, Kuhlemeyer (CR9) 1969; 95 LJ Pyrak-Nolte (2020_CR10) 1990; 95 XB Zhao (2020_CR15) 2006; 132 JG Cai (2020_CR1) 2000; 37 J Zhao (2020_CR16) 2006; 43 WD Lei (2020_CR5) 2007; 34 XF Deng (2020_CR2) 2012; 45 JC Li (2020_CR6) 2010; 43 JB Zhu (2020_CR17) 2013 SC Fan (2020_CR3) 2004; 31 JC Li (2020_CR7) 2011; 44 L Sun (2020_CR13) 2013; 37 J Lysmer (2020_CR9) 1969; 95 LJ Pyrak-Nolte (2020_CR11) 1996; 33 J Zhao (2020_CR14) 2001; 34 JC Li (2020_CR8) 2013; 193 M Schoenberg (2020_CR12) 1980; 68 RE Goodman (2020_CR4) 1976 |
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fracture with a nonlinear normal deformational behaviour publication-title: Rock Mech Rock Eng doi: 10.1007/s006030170023 contributor: fullname: Cai – volume: 95 start-page: 8617 issue: B6 year: 1990 end-page: 8638 ident: CR10 article-title: Transmission of seismic waves across single natural fractures publication-title: J Geophys Res doi: 10.1029/JB095iB06p08617 contributor: fullname: Cook – volume: 45 start-page: 943 year: 2012 end-page: 951 ident: CR2 article-title: Some fundamental issues and verification of 3DEC in modeling wave propagation in jointed rock masses publication-title: Rock Mech Rock Eng contributor: fullname: Zhao – volume: 37 start-page: 1711 issue: 12 year: 2013 end-page: 1736 ident: CR13 article-title: Particle manifold method (PMM): a new continuum-discontinuum numerical model for geomechanics publication-title: Int J Numer Anal Meth Geomech doi: 10.1002/nag.2104 contributor: fullname: Zhao – volume: 132 start-page: 641 issue: 6 year: 2006 end-page: 650 ident: CR15 article-title: Normal transmission of S-wave across parallel fractures with coulomb slip behavior publication-title: J Eng Mech ASCE doi: 10.1061/(ASCE)0733-9399(2006)132:6(641) contributor: fullname: Cai – volume: 44 start-page: 85 issue: 1 year: 2011 end-page: 92 ident: CR7 article-title: Analysis of stochastic seismic wave interaction with a slippery rock fault publication-title: Rock Mech Rock Eng doi: 10.1007/s00603-010-0109-2 contributor: fullname: Zhao – volume: 34 start-page: 508 year: 2007 end-page: 523 ident: CR5 article-title: A numerical study on 2-D compressive wave propagation in rock masses with a set of joints along the radial direction normal to the joints publication-title: Comput Geotech doi: 10.1016/j.compgeo.2007.01.002 contributor: fullname: Teng – volume: 33 start-page: 787 issue: 8 year: 1996 end-page: 802 ident: CR11 article-title: Seismic response of fractures and the interrelations among fractures publication-title: Int J Rock Mech Min Sci doi: 10.1016/S0148-9062(96)00022-8 contributor: fullname: Pyrak-Nolte – volume: 43 start-page: 776 year: 2006 end-page: 788 ident: CR16 article-title: A further study of P-blast wave attenuation across parallel fractures with linear deformational behaviour publication-title: Int J Rock Mech Min Sci doi: 10.1016/j.ijrmms.2005.12.007 contributor: fullname: Cai – volume: 31 start-page: 57 issue: 1 year: 2004 end-page: 66 ident: CR3 article-title: On modeling of incident boundary for wave propagation in jointed rock masses using discrete element method publication-title: Comput Geotech doi: 10.1016/j.compgeo.2003.11.002 contributor: fullname: Zhao – volume: 43 start-page: 777 issue: 6 year: 2010 end-page: 787 ident: CR6 article-title: Analysis of blast wave interaction with a rock joint publication-title: Rock Mech Rock Eng doi: 10.1007/s00603-009-0062-0 contributor: fullname: Ma – volume: 37 start-page: 661 issue: 4 year: 2000 end-page: 682 ident: CR1 article-title: Effects of multiple 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Rock Eng doi: 10.1007/s006030170023 contributor: fullname: J Zhao – volume: 37 start-page: 661 issue: 4 year: 2000 ident: 2020_CR1 publication-title: Int J Rock Mech Min Sci doi: 10.1016/S1365-1609(00)00013-7 contributor: fullname: JG Cai – year: 2013 ident: 2020_CR17 publication-title: Rock Mech Rock Eng contributor: fullname: JB Zhu – volume: 37 start-page: 1711 issue: 12 year: 2013 ident: 2020_CR13 publication-title: Int J Numer Anal Meth Geomech doi: 10.1002/nag.2104 contributor: fullname: L Sun – start-page: 135 volume-title: Methods of geological engineering in discontinuous rocks year: 1976 ident: 2020_CR4 contributor: fullname: RE Goodman – volume: 68 start-page: 1516 issue: 5 year: 1980 ident: 2020_CR12 publication-title: J Acoust Soc Am doi: 10.1121/1.385077 contributor: fullname: M Schoenberg – volume: 44 start-page: 85 issue: 1 year: 2011 ident: 2020_CR7 publication-title: Rock Mech Rock Eng doi: 10.1007/s00603-010-0109-2 contributor: fullname: JC Li – volume: 43 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Title | Numerical study on oblique incidence across rock masses with linear and nonlinear joints |
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