(1. School of Architecture and Civil Engineering,Xi?an University of Science and Technology,Xi?an,Shaanxi 710054,China;
2. Faculty of Engineering,China University of Geosciences,Wuhan,Hubei 430074,China)
Abstract:The fatigue damage theory has been proven to be practical in estimating the damage of rock subjected to the repeated action of freezing and thawing. The application of the established frost fatigue model in the calculation of rock damage in the natural environments still faces several challenges,for instance,how to simplify the complicated natural freezing and thawing action,how to define the damage variable reasonably and how to calculate the frost damage of rock caused by the joint action of multiple mechanisms. In this paper,analysis is carried out corresponding to the above challenges. The results indicate that the diurnal and annual freeze-thaw cycle should be the research focus in the engineering activities,which could be classified into the low-cycle or high-cycle fatigue loads according to the saturation degree of rock and the flow rate of unfrozen water in rock respectively. The change of the porosity of rock reflects the underlying frost mechanism,and the damage variables are thus defined by the flaw area and residual strain. The damage generated by high-cycle loads is comparable to that generated by low-cycle loads according to the fatigue damage model. Moreover,the effect of the action sequence of low-cycle and high-cycle loads should be taken into account.
贾海梁1,2,项 伟2,申艳军1,杨更社1. 冻融循环作用下岩石疲劳损伤计算中关键问题的讨论[J]. 岩石力学与工程学报, 2017, 36(2): 335-346.
JIA Hailiang1,2,XIANG Wei2,SHEN Yanjun1,YANG Gengshe1. Discussion of the key issues within calculation of the fatigue damage of rocks subjected to freeze-thaw cycles. , 2017, 36(2): 335-346.
[1] 陈卫忠,谭贤君,于洪丹,等. 低温及冻融环境下岩体热,水,力特性研究进展与思考[J]. 岩石力学与工程学报,2011,30(7):1 318– 1 336.(CHEN Weizhong,TAN Xianjun,YU Hongdan,et al. Advance and review on thermo-hydro-mechanical characteristics of rock mass under condition of low temperature and freeze-thaw cycles[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(7):1 318– 1 336.(in Chinese))
[2] KRAUTBLATTER M,FUNK D,GUENZEL F K. Why permafrost rocks become unstable:a rock-ice-mechanical model in time and space[J]. Earth Surface Processes and Landforms,2013,38(8):876–887.
[3] PUDASAINI S P,KRAUTBLATTER M. A two-phase mechanical model for rock-ice avalanches[J]. Journal of Geophysical Research-Earth Surface,2014,119(10):2 272–2 290.
[4] 李 宁,程国栋,谢定义. 西部大开发中的岩土力学问题[J]. 岩土工程学报,2001,23(3):268–272.(LI Ning,CHENG Guodong,XIE Dingyi. Geomechanics development in civil construction in Western China[J]. Journal of Geotechnical Engineering,2001,23(3):268–272.(in Chinese))
[5] RUEDRICH J,KIRCHNER D,SIEGESMUND S. Physical weathering of building stones induced by freeze–thaw action:a laboratory long-term study[J]. Environmental Earth Sciences,2011,63(7/8):1 573–1 586.
[6] 徐敩祖,王家澄,张立新. 冻土物理学[M]. 北京:科学出版社,2001:1–3.(XU Xiaozu,WANG Jiacheng,ZHANG Lixin. Frozen soil physics[M]. Beijing:Science Press,2001:1–3.(in Chinese))
[7] 王 凌,高 歌,张 强,等. 2008年1月我国大范围低温雨雪冰冻灾害分析I.气候特征与影响评估[J]. 气象,2008,34(4):95–100.(WANG Ling,GAO Ge,ZHANG Qiang,et al. Analysis of the severe cold surge,ice-snow and frozen disaster in South China during January 2008:I Climate features and its impact[J]. Meteorological Monthly,2008,34(4):95–100.(in Chinese))
[8] 殷志强. 2008年春季极端天气气候事件对地质灾害的影响[J]. 防灾科技学院学报,2008,10(2):20–24.(YIN Zhiqiang. Influence on geological disasters of the extreme climate event of spring 2008 in China[J]. Journal of Institute of Disaster-prevention Science and Technology,2008,10(2):20–24.(in Chinese))
[9] MATSUOKA N,MURTON J. Frost weathering:recent advances and future directions[J]. Permafrost and Periglacial Processes,2008,19(2):195–210.
[10] MATSUOKA N. Microgelivation versus macrogelivation:towards bridging the gap between laboratory and field frost weathering[J]. Permafrost and Periglacial Processes,2001,12(3):299–313.
[11] 杨更社,蒲毅彬. 冻融循环条件下岩石损伤扩展研究初探[J]. 煤炭学报,2002,27(4):357–360.(YANG Gengshe,PU Yibin. Initial discussion on the damage propagation of rock under the frost and thaw condition[J]. Journal of China Coal Society,2002,27(4):357–360.(in Chinese))
[12] 杨更社,张全胜,蒲毅彬. 冻结温度对岩石细观损伤扩展特性影响研究初探[J]. 岩土力学,2004,25(9):1 409–1 413.(YANG Gengshe,ZHANG Quansheng,PU Yibin. Preliminary study on meso-damage propagation characteristics of rock under condition of freezing temperature[J]. Rock and Soil Mechanics,2004,25(9): 1 409–1 413.(in Chinese))
[13] 张慧梅,杨更社. 岩石冻融力学实验及损伤扩展特性[J]. 中国矿业大学学报,2011,40(1):140–146.(ZHANG Huimei,YANG Gengshe. Freeze-thaw cycling and mechanical experiment and damage propagation characteristics of rock[J]. Journal of China University of Mining and Technology,2011,40(1):140–146.(in Chinese))
[14] 徐光苗,刘泉声. 岩石冻融破坏机制分析及冻融力学试验研究[J]. 岩石力学与工程学报,2005,24(17):3 076–3 082.(XU Guangmiao,LIU Quansheng. Analysis of mechanism of rock failure due to freeze-thaw cycling and mechanical testing study of frozen-thawed rocks[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3 076–3 082.(in Chinese))
[15] 项 伟,刘 珣. 冻融循环条件下岩石–喷射混凝土组合试样的力学特性试验研究[J]. 岩石力学与工程学报,2010,29(12):2 510– 2 521.(XIANG Wei,LIU Xun. Experimental study of mechanical properties of combined specimen with rock and shotcrete under freezing-thawing cycles[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(12):2 510–2 521.(in Chinese))
[16] 周科平,李杰林,许玉娟,等. 冻融循环条件下岩石核磁共振特性的试验研究[J]. 岩石力学与工程学报,2012,31(4):731–737. (ZHOU Keping,LI Jielin,XU Yujuan,et al. Experimental study of NMR characteristics in rock under freezing and thawing cycles[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(4):731–737.(in Chinese))
[17] 闻 磊,李夕兵,尹彦波,等. 冻融循环作用下花岗斑岩和灰岩物理力学性质对比分析及应用研究[J]. 冰川冻土,2014,36(3):632–639.(WEN Lei,LI Xibing,YIN Yanbo,et al. Study of physico-mechanical properties of granite porphyry and limestone in slope of open-pit metal mine under freezing-thawing cycles effect and their application[J]. Journal of Glaciology and Geocryology,2014,36(3):632–639.(in Chinese))
[18] 贾海梁,刘清秉,项 伟,等. 冻融循环作用下饱和砂岩损伤扩展模型研究[J]. 岩石力学与工程学报,2013,32(增2):3 049–3 055. (JIA Hailiang,LIU Qingbing,XIANG Wei,et al. Damage evolution model of saturated sandstone under freeze-thaw cycles[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(Supp.2):3 049–3 055. (in Chinese))
[19] JIA H L,XIANG W,KRAUTBLATTER M. Quantifying rock fatigue and decreasing compressive and tensile strength after repeated freeze-thaw cycles[J]. Permafrost and Periglacial Processes,2015,26(4):368–377.
[20] 刘泉声,黄诗冰,康永水,等. 岩体冻融疲劳损伤模型与评价指标研究[J]. 岩石力学与工程学报,2015,34(6):1 116–1 127.(LIU Quansheng,HUANG Shibing,KANG Yongshui,et al. Study of fatigue damage model and evaluation index for rock mass under freeze-thaw[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(6):1 116–1 127.(in Chinese))
[21] MATSUOKA N,HIRAKAWA K,WATANABE T,et al. The role of diurnal,annual and millennial freeze-thaw cycles in controlling alpine slope instability[C]// Proceedings of the Seventh International Conference on Permafrost. Yellowknife,Canada:Collection Nordicana,1998,57:711–717.
[22] MATSUOKA N. Frost weathering and rockwall erosion in the southeastern Swiss Alps:Long-term(1994—2006) observations[J]. Geomorphology,2008,99(1):353–368.
[23] 贾海梁,项 伟,谭 龙,等. 砂岩冻融损伤机制的理论分析和试验验证[J]. 岩石力学与工程学报,2016,35(5):879–895.(JIA Hailiang,XIANG Wei,TAN Long,et al. Theoretical analysis and experimental verifications of frost damage mechanism of sandstone[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(5):879–895.(in Chinese))
[24] FLORIDES G,KALOGIROU S. Annual ground temperature measurements at various depths[C]// 8th REHVA World Congress. Lausanne,Switzerland,.2005:112.
[25] KRAUTBLATTER M,HAUCK C. Electrical resistivity tomography monitoring of permafrost in solid rock walls[J]. Journal of Geophysical Research:Earth Surface,2007,112:F02S20.
[26] GRUBER S,HOELZLE M,HAEBERLI W. Permafrost thaw and destabilization of Alpine rock walls in the hot summer of 2003[J]. Geophysical Research Letters,2004,31:L13504.
[27] GRUBER S,HAEBERLI W. Permafrost in steep bedrock slopes and its temperature-related destabilization following climate change[J]. Journal of Geophysical Research:Earth Surface,2007,112:F02S18.
[28] SASS O. Rock moisture measurements:techniques,results,and implications for weathering[J]. Earth Surface Processes and Landforms,2005,30(3):359–374.
[29] HALL K. Evidence for freeze–thaw events and their implications for rock weathering in northern Canada[J]. Earth Surface Processes and Landforms,2004,29(1):43–57.
[30] HALL K. Evidence for freeze–thaw events and their implications for rock weathering in northern Canada:II. The temperature at which water freezes in rock[J]. Earth surface processes and Landforms,2007,32(2):249–259.
[31] MATSUOKA N. Frost weathering and rockwall erosion in the southeastern Swiss Alps:Long-term(1994–2006) observations[J]. Geomorphology,2008,99(1):353–368.
[32] KRAUTBLATTER M,VERLEYSDONK S,FORES-OROZCO A,KEMNA A. Temperature-calibrated imaging of seasonal changes in permafrost rock walls by quantitative electrical resistivity tomography (Zugspitze,German/Austrian Alps)[J]. Journal of Geophysical Research- Earth Surface,2010,115:F02003.
[33] MURTON J B,PETERSON R,OZOUF J C. Bedrock fracture by ice segregation in cold regions[J]. Science,2006,314(5802):1 127– 1 129.
[34] 刘新东,郝际平. 连续介质损伤力学[M]. 北京:国防工业出版社,2011:59–61.(LIU Xindong,HAO Jiping. Continuum Damage Mechanics[M]. Beijing:National Defence Industry Press,2011:59–61.(in Chinese))
[35] 谢和平. 岩石混凝土损伤力学[M]. 徐州:中国矿业大学出版社,1990:6–19.(XIE Heping. Damage mechanics of rock and concrete[M]. Xuzhou:China University of Mining and Technology Press,1990:6–19.(in Chinese))
[36] XIAO J Q,DING D X,JIANG F L,et al. Fatigue damage variable and evolution of rock subjected to cyclic loading[J]. International Journal of Rock Mechanics and Mining Sciences,2010,47(3):461–468.
[37] 刘 珣. 极端冰雪灾害条件下岩体与支护结构相互作用试验研究[博士学位论文][D]. 武汉:中国地质大学,2010.(LIU Xun. Experimental research on interaction between rock mass and supporting structure under the condition of extreme ice and snow disaster[Ph. D. Thesis][D]. Wuhan:China University of Geoscience,2010.(in Chinese))
[38] 徐光苗. 寒区岩体低温、冻融损伤力学特性及多场耦合研究[博士学位论文][D]. 武汉:中国科学院武汉岩土力学研究所,2006.(XU Guangmiao. Study on mechanical characteristics and multiphysical coupling problems of rock at low temperatures[Ph. D. Thesis][D]. Wuhan:Wuhan Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,2006.(in Chinese))
[39] 路亚妮. 裂隙岩体冻融损伤力学特性试验及破坏机制研究[博士学位论文][D]. 武汉:武汉理工大学,2013.(LU Yani. Study on mechanics characteristic of damage due to freeze-thaw action in fractured rock masses and failure mechanism[Ph. D. Thesis][D]. Wuhan:Wuhan University of Technology,2013.(in Chinese))
[40] 李杰林. 基于核磁共振技术的寒区岩石冻融损伤机制试验研究[博士学位论文][D]. 长沙:中南大学,2012.(LI Jielin. Experiment study on deterioration mechanism of rock under the conditions of freezing-thawing cycles in cold regions based on NMR technology[Ph. D. Thesis][D]. Changsha:Central South University,2012.(in Chinese))
[41] 谢和平,鞠 杨,董毓利. 经典损伤定义中的“弹性模量法”探讨[J]. 力学与实践,1997,19(2):1–5.(XIE Heping,JU Yang,DONG Yuli. Discussion about “elastic modulus method” in the classic definition of damage[J]. Mechanics and Practice,1997,19(2):1–5.(in Chinese))
[42] 鞠 杨,谢和平. 基于应变等效性假说的损伤定义的适用条件[J]. 应用力学学报,1998,15(1):43–49.(JU Yang,XIE Heping. A variable condition of the damage description based on hypothesis of strain equivalence[J]. Chinese Journal of Applied Mechanics,1998,15(1):43–49.(in Chinese))
[43] 周创兵,陈益峰,姜清辉. 岩体表征单元体与岩体力学参数[J]. 岩土工程学报,2007,29(8):1 135–1 142.(ZHOU Chuangbing,CHEN Yifeng,JIANG Qinghui. Representative elementary volume and mechanical parameters of fractured rock masses[J]. Chinese Journal of Geotechnical Engineering,2007,29(8):1 135–1 142.(in Chinese))
[44] KACHANOV L M. On the time to failure under creep condition[J]. Izvestiya Akademii Nauk SSSR Otdelenie Tekhneqn Nauk,1958,(8):26–31.
[45] KACHANOV L M. Introduction to continuum damage mechanics[M]. Dordrecht,The Netherlands:Martinus Nijhoff Publishers,1986:5–13.
[46] RABOTNOV Y N. On the equations of state for creep[C]// Progress in Applied Mechanics,Prager Anniversary Volume. New York:Macmillan,1963:117–182.
[47] 孔祥言. 高等渗流力学[M]. 合肥:中国科学技术大学出版社,1999:18–21.(KONG Xiangyan. Advanced percolation mechanics[M]. Heifei:Press of University of Science and Technology of China,1999:18–21.(in Chinese))
[48] BRIDGMAN P W. Effects of high shearing stress combined with high hydrostatic pressure[J]. Physical Review,1935,48(10):825.
[49] 席道瑛,徐松林. 岩石物理学基础[M]. 合肥:中国科学技术大学出版社,2012:25–30.(XI Daoying,XU Songlin. Foundations of rock physics[M]. Hefei:Hefei University of Science and Technology of China Press,2012:25–30.(in Chinese))
[50] 杨更社,张全胜,蒲毅彬. 冻结温度影响下岩石细观损伤演化CT扫描[J]. 长安大学学报:自然科学版,2004,24(6):40–42.(YANG Gengshe,ZHANG Quansheng,PU Yibin. CT scanning test of meso damage propagation of rock under different freezing temperatures[J]. Journal of Chang?an University:Natural Science,2004,24(6):40–42.(in Chinese))
[51] 李杰林,周科平,张亚民,等. 基于核磁共振技术的岩石孔隙结构冻融损伤试验研究[J]. 岩石力学与工程学报,2012,31(6):1 208– 1 214.(LI Jielin,ZHOU Keping,ZHANG Yamin,et al. Experimental study of rock porous structure damage characteristics under condition of freezing-thawing cycles based on nuclear magnetic resonance technique[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(6):1 208–1 214.(in Chinese))
[52] 李树春,许 江,陶云奇,等,岩石低周疲劳损伤模型与损伤变量表达方法[J]. 岩土力学,2009,30(6):1 611–1 615.(LI Shuchun,XU Jiang,TAO Yunqi,et al. Low cycle fatigue damage model and damage variable expression of rock[J]. Rock and Soil Mechanics,2009,30(6):1 611–1 615.(in Chinese))
[53] HALL K,THORN C E,MATSUOKA N,et al. Weathering in cold regions:some thoughts and perspectives[J]. Progress in Physical Geography,2002,26(4):577–603.
[54] MILLER K J,IBRAHIM M F E. Damage accumulation during initiation and short crack growth regimes[J]. Fatigue and Fracture of Engineering Materials and Structures,1981,4(3):263–277.
[55] 谢里阳. 疲劳损伤状态的等效性[J]. 机械强度,1995,17(2):100–104.(XIE Liyang. On the equivalence of fatigue damage states[J]. Journal of Mechanical Strength,1995,17(2):100–104.(in Chinese))
[56] 尚德广,姚卫星. 单轴非线性连续疲劳损伤累积模型的研究[J]. 航空学报,1998,19(6):647–656.(SHANG Deguang,YAO Weixing. Study on nonlinear continuous damage cumulative model for uniaxial fatigue[J]. Acta Aeronautica et Astronautica Sinica,1998,19(6):647–656.(in Chinese))