WANG Zhe-chao, ZONG Zhi, QIAO Li-ping, LI Wei, LIU Jie. Creep behaviors and constitutive model of transversely isotropic rocks[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(7): 1221-1229. DOI: 10.11779/CJGE201807008
    Citation: WANG Zhe-chao, ZONG Zhi, QIAO Li-ping, LI Wei, LIU Jie. Creep behaviors and constitutive model of transversely isotropic rocks[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(7): 1221-1229. DOI: 10.11779/CJGE201807008

    Creep behaviors and constitutive model of transversely isotropic rocks

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    • Received Date: April 19, 2017
    • Published Date: July 24, 2018
    • The bedded carbonaceous slate exhibits transversely isotropic creep properties. The creep behaviors of carbonaceous slate are studied using the triaxial compressive creep tests on horizontal bedding specimens and vertical bedding specimens. The creep flow direction is analyzed with the experimental data. It is found that the creep flow directions of the horizontal and vertical bedding specimens are different. A creep constitutive model for transversely isotropic rocks is proposed. The constitutive model is composed of creep potential function based on the generalized octahedral shear stress and creep non-associated flow law. The creep equation is formulated as a function of stress and the irreversible strain, which is defined as an internal state variable. The method for determining the model parameters is proposed. The creep model, along with the method of parameter determination, is validated using the test data from this study and literatures. The effect of strain rate on initial creep state is discussed using the model. The results provide a theoretical basis for understanding the transversely isotropic creep behaviors of rocks and enriching the basic theory of rock mechanics.
    • [1]
      BARTON N, QUADROS E.Anisotropy is everywhere, to see, to measure, and to model[J]. Rock Mech Rock Eng, 2015, 48(4): 1323-1339.
      [2]
      高春玉, 徐进, 李忠洪, 等. 雪峰山隧道砂板岩各向异性力学特性的试验研究[J]. 岩土力学, 2011, 32(5): 1360-1364.
      (GAO Chun-yu, XU Jin, LI Zhong-hong, et al.Experimental study of anisotropically mechanical characteristics of sandy slate in Xuefeng Mountain tunnel[J]. Rock and Soil Mechanics, 2011, 32(5): 1360-1364. (in Chinese))
      [3]
      JAEGER J C, COOK N G W, ZIMMERMAN R W. Fundamentals of rock mechanics[M]. New Jersey: John Wiley & Sons, 2007.
      [4]
      孙钧. 岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报, 2007, 26(6): 1081-1106.
      (SUN Jun.Rock rheological mechanics and its advance in engineering applications[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(6): 1081-1106. (in Chinese))
      [5]
      SUN Jun, WANG Si-jing.Rock mechanics and rock engineering in China: developments and current state-of- the-art[J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(1): 447-465.
      [6]
      孙钧. 岩土材料流变及其工程应用[M]. 北京: 中国建筑工业出版社, 1999.
      (SUN Jun.Rheological behavior of geomaterials and its engineering applications[M]. Beijing: China Architecture and Building Press, 1999. (in Chinese))
      [7]
      陈宗基, 康文法. 岩石的封闭应力、蠕变和扩容及本构方程[J]. 岩石力学与工程学报, 1991, 10(4): 299-312.
      (TAN Tjong-kie, KANG Wen-fa.On the locked in stress,creep and dilatation of rocks, and the constitutive equations[J]. Chinese Journal of Rock Mechanics and Engineering, 1991, 10(4): 299-312. (in Chinese))
      [8]
      徐卫亚, 杨圣奇, 褚卫江. 岩石非线性黏弹塑性流变模型(河海模型)及其应用[J]. 岩石力学与工程学报, 2006, 25(3): 433-447.
      (XU Wei-ya, YANG Sheng-qi, CHU Wei-jiang.Nonlinear viscoelasto-plastic rheological model (Hohai model) of rock and its engineering application[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(3): 433-447. (in Chinese))
      [9]
      陈卫忠, 王者超, 伍国军, 等. 盐岩非线性蠕变本构模型及其工程应用研究[J]. 岩石力学与工程学报, 2007, 26(3): 467-472.
      (CHEN Wei-zhong, WANG Zhe-chao, WU Guo-jun, et al.Nonlinear creep damage constitutive model of rock salt and its application to engineering[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(3): 467-472. (in Chinese))
      [10]
      WANG G.A new constitutive creep-damage model for salt rock and its characteristics[J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(1): 61-67.
      [11]
      乔丽苹, 王者超, 李术才, 等. 岩石内变量蠕变模型研究[J]. 岩土力学, 2012, 33(12): 3529-3537, 3603.
      (QIAO Li-ping, WANG Zhe-chao, LI Shu-cai, et al.An internal-variable creep model for rocks[J]. Rock and Soil Mechanics, 2012, 33(12): 3529-3537, 3603. (in Chinese))
      [12]
      王者超, 乔丽苹, 李术才, 等. 土的内变量蠕变模型研究[J]. 岩土工程学报, 2011, 33(10): 1569-1575.
      (WANG Zhe-chao, QIAO Li-ping, LI Shu-cai, et al.An internal-variable creep model for soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(10): 1569-1575. (in Chinese))
      [13]
      ZHOU H W, WANG C P.A creep constitutive model for salt rock based on fractional derivatives[J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(1): 116-121.
      [14]
      FABRE G, PELLET F.Creep and time-dependent damage in argillaceous rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(6): 950-960.
      [15]
      DUBEY R K, GAIROLA V K.Influence of structural anisotropy on creep of rocksalt from Simla Himalaya, India: an experimental approach[J]. Journal of Structural Geology, 2008, 30(6): 710-718.
      [16]
      NAUMANN M, HUNSCHE U, SCHULZE O.Experimental investigations on anisotropy in dilatancy,failure and creep of Opalinus clay[J]. Physics and Chemistry of the Earth, 2007, 32(8-14): 889-895.
      [17]
      CHEN Y J, FU Y M, CAO P.Structural effect of soft rock rheology[J]. J Cent South Univ Technol, 2007, 14(1): 430-435.
      [18]
      熊良宵, 杨林德, 张尧. 绿片岩的单轴压缩各向异性蠕变试验研究[J]. 同济大学学报(自然科学版), 2010, 38(11): 1568-1573.
      (XIONG Liang-xiao, YANG Lin-de, ZHANG Yao.Anisotropic creep test of greenchist under uniaxial compression[J]. Journal of Tongji University (Natural Science), 2010, 38(11): 1568-1573. (in Chinese))
      [19]
      ZHANG X, LOUIS N Y W, WANG S. Engineering properties of quartz mica schist[J]. Engineering Geology, 2011, 121(3/4): 135-149.
      [20]
      吴创周, 石振明, 付昱凯, 等. 绿片岩各向异性蠕变特性试验研究[J]. 岩石力学与工程学报, 2014, 33(3): 493-499.
      (WU Chuang-zhou, SHI Zhen-ming, FU Yu-kai, et al.Experimental investigations on structural anisotropy on creep of greenschist[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(3): 493-499. (in Chinese))
      [21]
      王安明, 杨春和, 陈剑文, 等. 层状盐岩体非线性蠕变本构模型[J]. 岩石力学与工程学报, 2009, 28(增刊1): 2708-2714.
      (WANG An-ming, YANG Chun-he, CHEN Jian-wen, et al.Nonlinear creep constitutive model of bedded salt rock[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(S1): 2708-2714. (in Chinese))
      [22]
      潘鹏志, 冯夏庭, 申林方, 等. 裂隙花岗岩各向异性蠕变特性研究[J]. 岩石力学与工程学报, 2011, 30(1): 36-44.
      (PAN Peng-zhi, FENG Xia-ting, SHEN Lin-fang, et al.Study of anisotropic creep behavior of fractured granite[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(1): 36-44. (in Chinese))
      [23]
      王者超, 李术才, 乔丽苹, 等. 三轴剪切作用下体积变化对岩石力学性质的影响[J]. 固体力学, 2013, 34(5): 527-535.
      (WANG Zhe-chao, LI Shu-cai, QIAO Li-ping et al. Influence of volume change on other mechanical behaviors of rocks subject to triaxial shearing[J]. Solid Mechanics, 2013, 34(5): 527-535. (in Chinese))
      [24]
      王者超, 乔丽苹. 土蠕变性质及其模型研究综述与讨论[J]. 岩土力学, 2011, 32(8): 2251-2260.
      (WANG Zhe-chao, QIAO Li-ping.A review and discussion on creep behavior of soil and its models[J]. Rock and Soil Mechanics, 2011, 32(8): 2251-2260. (in Chinese))
      [25]
      宗智. 板岩横观各向同性力学特性与本构模型研究[D]. 济南: 山东大学, 2017.
      (ZONG Zhi.Transversely isotropic mechanical properties and constitutive model of slate[D]. Jinan: Shandong University, 2017. (in Chinese))
      [26]
      PELLET F, HAJDU A, DELERUYELLE F, et al.A viscoplastic model including anisotropic damage for the time dependent behaviour of rock[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2005, 29(9): 941-970.
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