脆性岩石渐进及蠕变失效特性宏细观力学模型研究

李晓照; 邵珠山

doi:10.11779/CJGE201608005

脆性岩石渐进及蠕变失效特性宏细观力学模型研究 English Version

西安建筑科技大学土木工程学院,陕西西安 710055

基金项目: 国家自然科学基金项目（51375373）; 陕西省科技统筹创新

详细信息

作者简介:
李晓照(1987- ),男,河北衡水人,博士研究生,从事岩石力学及岩石工程方面的研究。E-mail: lxz4167@126.com。

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出版历程
- 收稿日期: 2015-08-06
- 发布日期: 2016-08-24

Macro-micro mechanical model for progressive and creep failure of brittle rock

School of Civil Engineering, Xi'an University of Architecture & Technology, Xi'an 710055, China

摘要

摘要: 压应力作用脆性岩石渐进及蠕变失效特性是其力学性质研究的两个主要研究方向。其对于深部地下开挖围岩稳定性的判断有着重要的指导意义。岩石内部微裂纹扩展对脆性岩石的渐进及蠕变特性有着重要的影响。因此,基于岩石的应力与裂纹扩展关系及裂纹扩张演化法则,并结合宏细观损伤定义之间的关系,提出了一个新的宏细观力学模型,推出了岩石完整的应力-应变关系与蠕变理论表达式。分析了围压对岩石的应力-应变关系的影响。研究了岩石内部初始微裂纹尺寸及裂纹间摩擦系数对应力应变关系及岩石强度的影响。并给出了不同围压下岩石裂纹初始应力与峰值应力,其对蠕变实验中的施加应力初始值选取提供了一定参考。然后,研究了恒定围压、轴压分级加载应力路径下的岩石蠕变应变及应变率变化趋势。通过试验结果验证了理论模型的合理性。进而,对压应力作用下细观裂纹扩展对岩石力学特性影响的理解提供了一定的理论参考。
- 宏细观力学模型 /
- 应力-应变关系 /
- 蠕变 /
- 断裂 /
- 损伤
Abstract: The progressive and creep failure of brittle rock in compression plays an important role in the investigation of rock mechanics. It has great significance for judging the stability of surrounding rock in deep underground. Furthermore, growth of microcracks of brittle rock has great influence on creep properties. Based on the relation between stress and crack growth, and on the evolution law of crack growth, and considering the link of damage in micromechanical and macroscopic scales, a new macro-micro model is proposed. The theoretical expressions for stress-strain relationship and creep are derived. The effects of confining pressure on the relationship between stress and strain are analyzed. The effects of initial mcirocrack size and friction coefficient on stress-strain relationship and rock strength are also investigated. The crack initiation stress and the peak stress under different confining pressures are obtained, which provides a reference for applied stress under creep tests. The creep strain and strain rate under constant confining pressure and step axial loading are analyzed. Rationality of theoretical results is verified by these experimental results. It may provide the theoretical reference for understanding the effects of microcrack growth on the mechanical properties of brittle rock in compression.
- macro-micro model /
- stress-strain relation /
- creep /
- fracture /
- damage

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参考文献(29)

[1]	刘宁, 张春生, 褚卫江. 锦屏深埋大理岩破裂扩展的时间效应试验及特征研究[J]. 岩土力学, 2012, 33(8): 2437-2450. (LIU Ning, ZHANG Chun-sheng, CHU Wei-jiang. Experimental research on time-dependent behavior of crack propagation in Jinping deep marble[J]. Rock and Soil Mechanics, 2012, 33(8): 2437-2450. (in Chinese))
[2]	汪斌, 朱杰兵, 邬爱清, 等. 锦屏大理岩加、卸载应力路径下力学性质试验研究[J]. 岩石力学与工程学报, 2008, 27(10): 2138-2145. (WANG Bin, ZHU Jie-bing, WU Ai-qing, et al. Experimental study on mechanical properties of Jinping marble under loading and unloading stress paths[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(10): 2138-2145. (in Chinese))
[3]	唐浩, 李天斌, 陈国庆, 等. 水力作用下砂岩三轴卸荷试验及破裂特性研究[J]. 岩土工程学报, 2015, 37(3): 519-525. (TANG Hao, LI Tian-bin, CHEN Guo-qing. Triaxial unloading tests on rupture characteristics of sandstone under hydro-mechanical coupling conditions[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(3): 519-525. (in Chinese))
[4]	刘泉声, 胡云华, 刘滨. 基于试验的花岗岩渐进破坏本构模型研究[J]. 岩土力学, 2009, 30(2): 289-296. (LIU Quan-sheng, HU Yun-hua, LIU Bin. Progressive damage constitutive models of granite based on experimental results[J]. Rock and Soil Mechanics, 2009, 30(2): 289-296. (in Chinese))
[5]	姜永东, 鲜学福, 尹光志, 等. 岩石应力应变全过程的声发射及分形与混沌特征[J]. 岩土力学, 2010, 31(8): 2413-2418. (JIANG Yong-dong, XIAN Xue-fu, YIN Guang-zhi, et al. Acoustic emission, fractal and chaos characters in rock stress-strain procedure[J]. Rock and Soil Mechanics, 2010, 31(8): 2413-2418. (in Chinese))
[6]	李浩然, 杨春和, 刘玉刚, 等. 花岗岩破裂过程中声波与声发射变化特征试验研究[J]. 岩土工程学报, 2014, 36(10): 1915-1923. (LI Hao-ran, YANG Chun-he, LIU Yu-gang, et al. Experimental research on ultrasonic velocity and acoustic emission properties of granite under failure process[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(10): 1915-1923. (in Chinese))
[7]	梁昌玉, 李晓, 王声星, 等. 岩石单轴压缩应力-应变特征的率相关性及能量机制试验研究[J]. 岩石力学与工程学报, 2012, 31(9): 1830-1838. (LIANG Chang-yu, LI Xiao, WANG Sheng-xing, et al. Experimental investigations on rate-dependent stress-strain characteristics and energy mechanism of rock under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(9): 1830-1838. (in Chinese))
[8]	朱珍德, 刘立民. 脆性岩石动态渗流特性试验研究[J]. 煤炭学报, 2003, 28(6): 588-592. (ZHU Zhen-de, LIU Li-min. Experimental research on dynamic seepage characteristics of brittle rock[J]. Journal of China Coal Society, 2003, 28(6): 588-592. (in Chinese))
[9]	张黎明, 王在泉, 孙辉,等. 岩石卸荷破坏的变形特征及本构模型[J]. 煤炭学报, 2009, 12: 1626-1631. (ZHANG Li-ming, WANG Zai-quan, SUN Hui, et al. Failure characteristics and constitutive model of rock under unloading condition[J]. Journal of China Coal Society, 2009, 12: 1626-1631. (in Chinese))
[10]	刘齐建, 杨林德, 曹文贵. 岩石统计损伤本构模型及其参数反演[J]. 岩石力学与工程学报, 2005, 24(4): 616-621. (LIU Qi-jian, YANG Lin-de, CAO Wen-gui. Statistical damage constitutive model for rock and back analysis of its parameters[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(4): 616-621. (in Chinese))
[11]	曹文贵, 张升, 赵明华. 基于新型损伤定义的岩石损伤统计本构模型探讨[J]. 岩土力学, 2006, 27(1): 41-46. (CAO Wen-gui, ZHANG Sheng, ZHAO Ming-hua. Study on statistical damage constitutive model of rock based on new definition of damage[J]. Rock and Soil Mechanics, 2006, 27(1): 41-46. (in Chinese))
[12]	袁小平, 刘红岩, 王志乔. 基于Drucker-Prager准则的岩石弹塑性损伤本构模型研究[J]. 岩土力学, 2012, 33(4): 1103-1108. (YUAN Xiao-ping, LIU Hong-yan, WANG Zhi-qiao. Study of elastoplastic damage constitutive model of rocks based on Drucker-Prager criterion[J]. Rock and Soil Mechanics, 2012, 33(4): 1103-1108. (in Chinese))
[13]	李夕兵, 左宇军, 马春德. 中应变率下动静组合加载岩石的本构模型[J]. 岩石力学与工程学报, 2006, 25(5): 865-874. (LI Xi-bing, ZUO Yu-jun, MA Chun-de. Constitutive model of rock under coupled static-dynamic loading with intermediate strain rate[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(5): 865-874. (in Chinese))
[14]	阎岩, 王思敬, 王恩志. 基于西原模型的变参数蠕变方程[J]. 岩土力学, 2010, 31(10): 3025-3035. (YAN Yan, WANG Si-jing, WANG En-zhi. Creep equation of variable parameters based on Nishihara model[J]. Rock and Soil Mechanics, 2010, 31(10): 3025-3035. (in Chinese))
[15]	宋勇军, 雷胜友, 韩铁林. 一种新的岩石非线性黏弹塑性流变模型[J]. 岩土力学, 2012, 33(7): 2076-2080. (SONG Yong-jun, LEI Sheng-you, HAN Tie-lin. A new nonlinear viscoelasto-plastic rheological model for rocks[J]. Rock and Soil Mechanics, 2012, 33(7): 2076-2080. (in Chinese))
[16]	佘成学, 崔旋. 高孔隙水压力对岩石蠕变特性的影响[J]. 岩石力学与工程学报, 2010, 29(8): 1603-1609. (SHE Cheng-xue, CUI Xuan. Influence of high pore water pressure on creep properties of rock[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(8): 1603-1609. (in Chinese))
[17]	孙钧, 凌建明. 三峡船闸高边坡岩体的细观损伤及长期稳定性研究[J]. 岩石力学与工程学报, 1997, 16(1): 1-7. (SUN Jun, LING Jian-ming. On meso damage behaviour and long-term stability of high slope rock of the Three Gorges shiplocks[J]. Chinese Journal of Rock Mechanics and Engineering, 1997, 16(1): 1-7. (in Chinese))
[18]	张强勇, 杨文东, 陈芳, 等. 硬脆性岩石的流变长期强度及细观破裂机制分析研究[J]. 岩土工程学报, 2011, 33(12): 1910-1918. (ZHANG Qiang-yong, YANG Wen-dong, CHEN Fang, et al. Long-term strength and microscopic failure mechanism of hard brittle rocks[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(12): 1910-1918. (in Chinese))
[19]	GRGIC D, AMITRANO D. Creep of a porous rock and associated acoustic emission under different hydrous conditions[J]. Journal of Geophysical Research, 2009, 114: B10201.
[20]	OHNAKA M. Acoustic emission during creep of brittle rock[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1983, 20(3): 121-134.
[21]	任建喜. 单轴压缩岩石蠕变损伤扩展细观机理CT实时试验[J]. 水利学报, 2002, 1: 10-15. (REN Jian-xi. CT real-time testing on meso-mechanism of creep damage propagation in rock under uniaxial compression[J]. Journal of Hydraulic Engineering, 2002, 1: 10-15. (in Chinese))
[22]	孙金山, 陈明, 姜清辉, 等. 锦屏大理岩蠕变损伤演化细观力学特征的数值模拟研究[J]. 岩土力学, 2013, 34(12): 3601-3608. (SUN Jin-shan, CHEN Ming, JIANG Qing-hui, et al. Numerical simulation of mesomechanical characteristics of creep demage evolution for Jingping marble[J]. Rock and Soil Mechanics, 2013, 34(12): 3601-3608. (in Chinese))
[23]	ASHBY M F, SAMMIS C G. The damage mechanics of brittle solids in compression[J]. Pure And Applied Geophysics, 1990, 133(3): 489-521.
[24]	ASHBY M F, HALLAM S D. The failure of brittle solids containing small cracks under compressive stress states[J]. Acta Metall, 1986, 34(3): 497-510.
[25]	ATKINSON B K. Subcritical crack growth in geological materials[J]. Journal of Geophysical Research, 1984, 89(B6): 4077-4114.
[26]	BRANTUT N, BAUD P, HEAP M J, et al. Micromechanics of brittle creep in rocks[J]. Journal of Geophysical Research, 2012, 117: B08412.
[27]	BHAT H S, SAMMIS C G, ROSAKIS A J. The micromechanics of Westerly granite at large compressive loads[J]. Pure and Applied Geophysics, 2011, 168(12): 1-18.
[28]	伍国军, 陈卫忠, 曹俊杰, 等. 工程岩体非线性蠕变损伤力学模型及其应用[J]. 岩石力学与工程学报, 2010, 29(6): 1184-1191. (WU Guo-jun, CHEN Wei-zhong, CAO Jun-jie, et al. Nonlinear creep damage model of engineered rock and its application[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(6): 1184-1191. (in Chinese))
[29]	万琳辉, 曹平, 黄永恒, 等. 水对岩石亚临界裂纹扩展及门槛值的影响研究[J]. 岩土力学, 2010, 31(9): 2737-2742. (WAN Lin-hui, CAO Ping, HUANG Yong-heng, et al. Study of subcritical crack growth of rocks and threshold values in different environments[J]. Rock and Soil Mechanics, 2010, 31(9): 2737-2742. (in Chinese))

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