•  
  •  
 

Coal Geology & Exploration

Abstract

Artificial freezing is a commonly used method for stopping water and providing temporary support during the excavation of saturated sand. This study on the damage characteristics of frozen soil lays the foundation for the analysis of the mechanical properties of frozen soil and the stability of frozen bodies. In order to study the damage mechanical properties of frozen sand, three-dimensional laboratory tests on frozen sand with different intermediate principal stress coefficients were carried out at -5℃. Based on the Weibull random distribution of micro element failure of frozen soil, the Drucker-Prager strength criterion was invoked as the statistical distribution variable, and the strain equivalence hypothesis was used to establish the damage constitutive model of frozen sand under three-dimensional stress state. On this basis, the model parameters F0 and m are discussed the damage constitutive model of frozen sand under the influence of medium principal stress coefficient is established by modifying the model parameters reasonably and comparing with the test results. The results show that the parameters F0 and m decrease first and then increase along with the increase of the intermediate principal stress coefficient; the parameter F0 reflects the strength characteristics of frozen sand, and the parameter m represents the ductility and brittleness of frozen sand. The damage constitutive model of frozen sand considering the influence of medium principal stress coefficient can effectively simulate the whole stress-strain curve of frozen sand. The research results provide a theoretical basis for the engineering design of an artificial freezing method.

Keywords

triaxial stress state, intermediate principal stress coefficient, Drucker-Prager criterion, Weibull distribution, damage constitutive model

DOI

10.3969/j.issn.1001-1986.2020.05.016

Reference

[1] 杨平,赵联桢,王国良. 冻土与结构接触面循环剪切损伤模型[J]. 岩土力学,2016,37(5):1217-1223. YANG Ping,ZHAO Lianzhen,WANG Guoliang. A damage model for frozen soil-structure interface under cyclic shearing[J]. Rock and Soil Mechanics,2016,37(5):1217-1223.

[2] 张向东,李军,孙琦,等. 基于弹性模量退化的冻土动力损伤特性研究[J]. 岩土力学,2018,39(11):4149-4156. ZHANG Xiangdong,LI Jun,SUN Qi,et al. Study on dynamic damage mechanism of frozen soil based on elastic modulus degradation[J]. Rock and Soil Mechanics,2018,39(11):4149-4156.

[3] 王松鹤,刘奉银,齐吉琳. 考虑冻融的粉质黏土统计损伤本构关系研究[J]. 西北农林科技大学学报(自然科学版),2016,44(12):226-234. WANG Songhe,LIU Fengyin,QI Jilin. Statistical damage constitutive model for silty clay after freeze-thaw cycling[J]. Journal of Northwest A&F University(Natural Science Edition),2016,44(12):226-234.

[4] 袁超,张慧梅,孟祥振,等. 内摩擦角对冻融岩石损伤本构模型的影响探讨[J]. 煤田地质与勘探,2019,47(4):138-143. YUAN Chao,ZHANG Huimei,MENG Xiangzhen,et al. Influence of internal friction angle on damage constitutive model of freeze-thaw rock[J]. Coal Geology & Exploration,2019,47(4):138-143.

[5] 王军保,刘新荣,李鹏. 岩石损伤软化统计本构模型[J]. 兰州大学学报(自然科学报),2011,47(3):24-28. WANG Junbao,LIU Xinrong,LI Peng. Statistical damage softening constitutive model for rock[J]. Journal of Lanzhou University(Natural Sciences),2011,47(3):24-28.

[6] 曹文贵,赵明华,刘成学. 基于Weibull分布的岩石损伤软化模型及其修正方法研究[J]. 岩石力学与工程学报,2004,23(19):3226-3231. CAO Wengui,ZHAO Minghua,LIU Chengxue. Study on the model and its modifying method for rock softening and damage based on Weibull random distribution[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(19):3226-3231.

[7] 曹文贵,赵明华,唐学军. 岩石破裂过程的统计损伤模拟研究[J]. 岩土工程学报,2003,25(2):184-187. CAO Wengui,ZHAO Minghua,TANG Xuejun. Study on simulation of statistical damage in the full process of rock failure[J]. Chinese Journal of Rock Mechanics and Engineering,2003,25(2):184-187.

[8] 徐卫亚,韦立德. 岩石损伤统计本构模型的研究[J]. 岩石力学与工程学报,2002,21(6):787-791. XU Weiya,WEI Lide. Study on statistical damage constitutive model of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):787-791.

[9] LAI Yuanming,LI Shuangyang,QI Jilin,et al. Strength distributions of warm frozen clay and its stochastic damage constitutive model[J]. Cold Regions Science and Technology,2008,53(2):200-215.

[10] LAI Yuanming,LI Jingbo,LI Qingze. Study on damage Statistical constitutive model and stochastic simulation for warm ice-rich frozen silt[J]. Cold Regions Science and Technology,2012,71(2):102-110.

[11] LAI Yuanming,YANG Yugui,CHANG Xiaoxiao,et al. Strength criterion and elastoplastic constitutive model of frozen silt in generalized plastic mechanics[J]. International Journal of Plasticity,2010,26(10):1461-1484.

[12] 李清泽,赖远明,徐湘田,等. 高温冻土三轴强度分布及损伤统计本构模型[J]. 冰川冻土,2010,32(6):1234-1241. LI Qingze,LAI Yuanming,XU Xiangtian,et al. Triaxial strength distribution of warm frozen soil and its damage statistical constitutive model[J]. Journal of Glaciology and Geocryology,2010,32(6):1234-1241.

[13] 张敏,许成顺,杜修力,等. 中主应力系数及应力路径对砂土剪切特性影响的真三轴试验研究[J]. 水利学报,2015,46(9):1072-1079. ZHANG Min,XU Chengshun,DU Xiuli. True triaxial experimental research on shear behaviors of sand under different intermediate principal stresses and different stress paths[J]. Shuili Xuebao,2015,46(9):1072-1079.

[14] 宋新江,徐海波,周文渊,等. 水泥土应力-应变特性真三轴试验研究[J]. 岩土力学,2016,37(9):2489-2495. SONG Xinjiang,XU Haibo,ZHOU Wenyuan,et al. True triaxial test on stress-strain characteristics of cement-soil[J]. Rock and Soil Mechanics,2016,37(9):2489-2495.

[15] 张慧梅,谢祥妙,张蒙军,等. 真三轴应力状态下岩石损伤本构模型[J]. 力学与实践,2015,37(1):75-78. ZHANG Huimei,XIE Xiangmiao,ZHANG Mengjun,et al. Damage constitutive model of rock under the true triaxial confinement state[J]. Mechanics in Engineering,2015,37(1):75-78.

[16] 张德,刘恩龙,刘星炎,等. 基于修正Mohr-Coulomb屈服准则的冻结砂土损伤本构模型[J]. 岩石力学与工程学报,2018,37(4):978-986. ZHANG De,LIU Enlong,LIU Xingyan,et al. A damage constitutive model for frozen sandy soils based on modified Mohr-Coulomb yield criterion[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(4):978-986.

[17] 王云飞,王立平,焦华喆,等. 不同围压下砂岩的变形力学特性与损伤机制[J]. 煤田地质与勘探,2015,43(4):63-68. WANG Yunfei,WANG Liping,JIAO Huazhe,et al. Mechanical characteristics of deformation and damage mechanism of sandstone under different confining pressure[J]. Coal Geology & Exploration,2015,43(4):63-68.

[18] 陈松,乔春生,叶青,等. 基于摩尔-库伦准则的断续节理岩体复合损伤本构模型[J]. 岩土力学,2018,39(10):3612-3622. CHEN Song,QIAO Chunsheng,YE Qing,et al. Composite damage constitutive model of rock mass with intermittent joints based on Mohr-Coulomb criterion[J]. Rock and Soil Mechanics,2018,39(10):3612-3622.

[19] 张吉宏,刘红岩. 综合考虑宏微观复合损伤的节理岩体本构模型[J]. 煤田地质与勘探,2013,41(6):49-52. ZHANG Jihong,LIU Hongyan. Constitutive model of jointed rock mass by combining macroscopic and microscopic composite damage[J]. Coal Geology & Exploration,2013,41(6):49-52.

[20] 李栋伟,汪仁和. 考虑损伤效应的冻粘土蠕变本构理论研究[J]. 煤田地质与勘探,2007,35(1):53-55. LI Dongwei,WANG Renhe. Study on frozen soil creep constitutive of theory accounting for damage[J]. Coal Geology & Exploration,2007,35(1):53-55.

[21] 王以明,周亦涛,周庆东,等. 岩土应变损伤变量测度研究[J]. 煤田地质与勘探,2013,41(1):54-57. WANG Yiming,ZHOU Yitao,ZHOU Qingdong,et al. Variable measure of strain damage of geotechnical materials[J]. Coal Geology & Exploration,2013,41(1):54-57.

[22] 施维成,朱俊高,刘汉龙. 中主应力对砾石料变形和强度的影响[J]. 岩土工程学报,2008,30(10):1449-1453. SHI Weicheng,ZHU Jungao,LIU Hanlong. Influence of intermediate principal stress on deformation and strength of gravel[J]. Chinese Journal of Geotechnical Engineering,2008,30(10):1449-1453.

[23] 刘爽. 冻结砂土等应力比加载试验及强度准则研究[D]. 淮南:安徽理工大学,2020. LIU Shuang. Constant stress ratio loading test of frozen sand and study of strength criterion[D]. Huainan:Anhui University of Science and Technology,2020.

[24] LEMAITRE J. How to use damage mechanics[J]. Nuclear Engineering and Design,1984,80(2):233-245.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.