• 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引(EI)收录期刊
  • Scopus数据库收录期刊

非贯通裂隙岩体三维复合损伤本构模型

袁小清, 刘红岩, 刘京平

袁小清, 刘红岩, 刘京平. 非贯通裂隙岩体三维复合损伤本构模型[J]. 岩土工程学报, 2016, 38(1): 91-99. DOI: 10.11779/CJGE201601009
引用本文: 袁小清, 刘红岩, 刘京平. 非贯通裂隙岩体三维复合损伤本构模型[J]. 岩土工程学报, 2016, 38(1): 91-99. DOI: 10.11779/CJGE201601009
YUAN Xiao-qing, LIU Hong-yan, LIU Jing-ping. 3-D constitutive model for rock masses with non-persistent joints based on compound damage[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(1): 91-99. DOI: 10.11779/CJGE201601009
Citation: YUAN Xiao-qing, LIU Hong-yan, LIU Jing-ping. 3-D constitutive model for rock masses with non-persistent joints based on compound damage[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(1): 91-99. DOI: 10.11779/CJGE201601009

非贯通裂隙岩体三维复合损伤本构模型  English Version

基金项目: 国家自然科学基金项目(41002113; 41162009); 中央高校基本科研业务专项资金项目(2-9-2014-019)
详细信息
    作者简介:

    袁小清(1991- ),男,硕士研究生,主要从事岩石力学方面的研究工作。

3-D constitutive model for rock masses with non-persistent joints based on compound damage

  • 摘要: 针对非贯通裂隙岩体工程结构中的受荷岩体,提出受荷细观损伤与裂隙宏观损伤的概念。以完整岩石的初始损伤状态作为基准损伤状态,综合考虑裂隙宏观缺陷的存在,微裂纹细观缺陷在受荷下的损伤扩展,以及宏细观缺陷在受荷过程中的耦合,基于Lemaitre应变等效假设,推导考虑宏细观缺陷耦合的复合损伤变量(张量)。给出宏观损伤变量(张量)的计算公式,建立基于宏细观缺陷耦合的非贯通裂隙岩体在荷载作用下的三维复合损伤本构模型,利用试验数据对模型合理性进行验证,讨论不同围压下宏细观缺陷对裂隙岩体力学特性的影响规律。研究结果表明:①工程结构中的受荷岩体,其力学性能由宏观缺陷、细观缺陷以及所处应力状态所决定。单轴应力状态下,岩石力学性质具有明显的脆性,受裂隙几何分布影响较大,具有明显的各向异性。围压状态下,岩石力学性质具有明显延性特征。随围压增加,裂隙岩样的各向异性得到弱化,并趋于各向同性。②裂隙岩样常规三轴压缩试验时,若考虑岩石的压密过程,初始轴向应变在高围压时不能忽略。
    Abstract: For the rock masses with non-persistent joints under loading in engineering structures, two conceptions are put forward, which are the loaded microscopic damage and the macroscopic damage with joints. Defining the initial damage state of intact rock as the basic state, considering the existence of macroscopic defect with joints, the damage propagation of microscopic defects, micro cracks and the coupling action of macro and micro defects under loading, the compound damage variable (tensor) is deduced based on the Lemaitre strain equivalence hypothesis. The formula for calculating the macroscopic damage variable (tensor) is given, then the three-dimensional damage constitutive model for the rock masses with non-persistent joints under loading is established based on the coupling of macroscopic and microscopic defects. Finally, the test data are adopted to validate this model, and the effects of macro and micro-defects on the mechanical properties of fractured rock masses under different confining pressures are discussed. The research results show that: (1) The mechanical properties of rock masses under loading in engineering structures are determined by the loaded microscopic damage, macroscopic damage with joints and stress state of rock masses. The mechanical properties of rock masses have obvious brittleness and anisotropies under uniaxial stress, and the anisotropies are largely influenced by the geometric distribution of joints. Under confining pressures, the mechanical properties of rock masses have obvious ductileness, and the anisotropies of rock masses decrease and tend to the isotropies with the confining pressure. (2) The initial axial strain of conventional triaxial compression can not be ignored in higher confining pressure if the compaction of rock masses is considered.
  • [1] 杨更社, 谢定义. 岩体宏观细观损伤的耦合计算分析[C]// 第六次全国岩石力学与工程学术大会论文集. 武汉, 2000: 327-329. (YANG Geng-she, XIE Ding-yi. Coupling analysis on the macro-damage and meso-damage of rock masses[C]// Symposium on the Sixth National Rock Mechanics and Engineering Academic Conference. Wuhan, 2000: 327-329. (in Chinese))
    [2] 刘红岩, 吕淑然, 邢闯锋, 等. 宏微观缺陷对岩体力学特性影响规律试验研究[J]. 自然灾害学报, 2013, 22(5): 134-139. (LIU Hong-yan, LÜ Shu-ran, XING Chuang-feng, et al. Study on the law of macro and micro flaws effects on the mechanical properties of rock mass[J]. Journal of Natural Disasters, 2013, 22(5): 134-139. (in Chinese))
    [3] 李新平, 朱瑞赓, 朱维申, 等. 非贯通节理岩体的边坡稳定变形分析[J]. 岩石力学与工程学报, 1996, 15(3): 193-200. (LI Xin-ping, ZHU Rui-geng, ZHU Wei-shen, et al. The deformation and stability of rock slope containing intermittent joints[J]. Chinese Journal of Rock Mechanics and Engineering, 1996, 15(3): 193-200. (in Chinese))
    [4] KYOYA T, ICHIKAWA Y, KAWAMOTO T. A damage mechanics theory for discontinuous rock mass[C]// 5th International Conference on Numerical Methods in Geomechanics. Innsbruck, 1985: 469-480.
    [5] 吴 澎. 节理岩体的损伤模型及非线性有限元分析[J]. 岩石力学与工程学报, 1988, 7(3): 193-702. (WU Peng. The damage mechanics model for jointed rock mass and its nonlinear fem analysis[J]. Chinese Journal of Rock Mechanics and Engineering, 1988, 7(3): 193-702. (in Chinese))
    [6] 孙卫军, 周维垣. 裂隙岩体弹塑性-损伤本构模型[J]. 岩石力学与工程学报, 1990, 19(2): 108-119. (SUN Wei-jun, ZHOU Wei-yuan. An elasto-plastic damage mechanics constitutive model for jointed rockmass[J]. Chinese Journal of Rock Mechanics and Engineering, 1990, 19(2): 108-119. (in Chinese))
    [7] 晏石林, 黄玉盈, 陈传尧. 非贯通节理岩体等效模型与弹性参数确定[J]. 华中科技大学学报, 2001, 29(6): 64-67. (YAN Shi-lin, HUANG Yu-ying, CHEN Chuan-yao. An equivalent model for jointed rock masses with planar nonpenetrative joint and its elastic parameters[J]. Journal of Huazhong University of Science and Technology, 2001, 29(6): 64-67. (in Chinese))
    [8] 陈 新, 廖志红, 李德建. 节理倾角及连通率对岩体强度、变形影响的单轴压缩试验研究[J]. 岩石力学与工程学报, 2011, 30(4): 781-789. (CHEN Xin, LIAO Zhi-hong, LI De-jian. Experimental study of effects of joint inclination angle and connectivity rate on strength and deformation properties of rock masses under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(4): 781-789. (in Chinese))
    [9] 杨圣齐, 温 森, 李良权. 不同围压下断续预制裂纹粗晶大理岩变形和强度特性的试验研究[J]. 岩石力学与工程学报, 2007, 26(8): 1572-1587. (YANG Sheng-qi, WEN Sen, LI Liang-quan. Experimental study on deformation and strength properties of coarse marble with discontinuous pre-existing cracks under different confining pressures[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(8): 1572-1587. (in Chinese))
    [10] TANG C A, LIN P, WONG R H C, et al. Analysis of crack coalescence in rock-like materials containing three flaws——Part II: Numerical approach[J]. International Journal of Rock Mechanics & Mining Sciences, 2001, 38(7): 925-939.
    [11] 黄凯珠, 林 鹏, 唐春安, 等. 双轴加载下断续预置裂纹贯通机制的研究[J]. 岩石力学与工程学报, 2002, 21(6): 808-816. (WONG R H C, LIN Peng, TANG Chun-an, et al. Mechanisms of crack coalescence of pre-existing flaws under biaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2002, 21(6): 808-816. (in Chinese))
    [12] LIU H Y, LÜ S R, ZHANG L M, et al. A dynamic damage constitutive model for a rock mass with persistent joints[J]. International Journal of Rock Mechanics & Mining Sciences, 2015, 75: 132-139.
    [13] GRADY D E, KIPP M E. The Micromechanics of impact fracture of rock[J]. International Journal of Rock Mechanics and Mining Sciences, 1979, 16(5): 293-302.
    [14] TAYLOR L M, CHEN E P, KUSZMAUL J S. Microcrack induced damage accumulation in brittle rock under dynamic Loading[J]. Computer Method in Applied Mechanics and Engineering, 1986, 55(3): 301-320.
    [15] WANG Z L, LI Y C, WANG J G. A damage-softening statistical constitutive model considering rock residual strength[J]. Computers and Geosciences, 2006, 33(1): 1-9.
    [16] 蔡美峰, 何满潮, 刘东燕. 岩石力学与工程[M]. 北京: 科学出版社, 2002: 108-109. (CAI Mei-feng, HE Man-chao, LIU Dong-yan. Rock mechanics and engineering[M]. Beijing: Science Press, 2002: 108-109. (in Chinese))
计量
  • 文章访问数:  414
  • HTML全文浏览量:  2
  • PDF下载量:  355
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-12-23
  • 发布日期:  2016-01-19

目录

    /

    返回文章
    返回