| Citation: | LIU Wen-bo, ZHANG Shu-guang, CHEN Lei, SUN Bo-yi, LU Ping-ping. Accelerated creep model for rock based on statistical damage principle[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(9): 1696-1704. DOI: 10.11779/CJGE202009014 |
Aiming at the problems that the existing creep theoretical models cannot describe the accelerated creep characteristics of the viscoplastic phase of rock and how to determine the start conditions of its accelerated creep phase, the triaxial creep tests are carried out on the deep surrounding rocks taken from Hengda Coal Mine of Fuxin. The creep deformation laws of rock are analyzed. In order to make the model describe the creep characteristics of the rock well and correspond to each stage of the classic creep curve, and by defining the index of each segment critical point based on the classical creep deformation, a new visco-elastoplastic creep model for rock considering accelerated creep is established. The results show that on the basis of considering the development of internal defects in rock and soil, the statistical damage theory can be used to formulate the accelerated creep model for rock. It is proved that the proposed model based on the statistical damage principle is correct in reflecting the whole curve of rock creep. The correctness of the critical point index defined by statistical damage variables and classic creep curves is also proved. The loading process of rock creep is also a kind of damage and destruction process of micro-elements inside the rock, which is irreversible in the material microstructure. By dividing the creep curve into stages, the expression form for the damage variable of the segmentation critical point is defined. By combining the statistical damage theory with the Perzyna viscoplastic model, the traditional Nishihara model is appropriately improved so as to establish the nonlinear creep damage model to better reflect the influences of the stress and strain state of the rock and the damage evolution laws.
| [1] |
黄海峰, 巨能攀, 黄敏, 等. 朱俊霖软岩非线性蠕变损伤模型及其试验研究[J]. 水文地质工程地质, 2017, 44(3): 49-60.
HUANG Hai-feng, JU Neng-pan, HUANG Min, et al. Nonlinear creep damage model of soft rock and its experimental study[J]. Hrdrogeology and Engineering Geology, 2017, 44(3): 49-60. (in Chinese)
|
| [2] |
梁冰, 张涛, 王俊光, 等. 片麻岩蠕变特性试验研究[J]. 实验力学, 2018, 33(3): 451-46. https://www.cnki.com.cn/Article/CJFDTOTAL-SYLX201803014.htm
LIANG Bin, ZHANG Tao, WANG Jun-guang, et al. Experimental study of geneiss creep properties[J]. Journal of Experimental Mechanics, 2018, 33(3): 451-46. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SYLX201803014.htm
|
| [3] |
蒲成志, 曹平, 张春阳. 考虑时效损伤劣化的变参数非线性蠕变损伤模型[J]. 工程力学, 2017, 34(6): 17-27. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201706005.htm
PU Chengzhi, CAO Ping, ZHANG Chun-yang, et al. Variable parameters non-linear creep damage model of Rock with consideration of aging damage and deterioration[J]. Engineering Mechanics, 2017, 34(6): 17-27. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201706005.htm
|
| [4] |
张树光, 刘文博, 陈雷, 等. 基于力学参数时效性的非定常蠕变模型[J]. 中国矿业大学学报, 2019, 48(5): 993-1002. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD201905007.htm
ZHANG Shu-guang, LIU Wen-bo, CHEN Lei, et al. Unsteady creep model based on time-dependentness of mechanical parameters[J]. Journal of China University of Mining and Technology, 2019, 48(5): 993-1002. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD201905007.htm
|
| [5] |
杨秀荣, 姜谙男, 江宗斌. 含水状态下软岩蠕变试验及损伤模型研究[J]. 岩土力学, 2018, 39(增刊1): 167-174. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2018S1021.htm
YANG Xiu-rong, JIANG An-nan, JIANG Zong-bin. Creep test and damage model of soft rock under water containing condition[J]. Rock and Soil Mechanics, 2018, 39(S1): 167-174. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2018S1021.htm
|
| [6] |
张泽林, 吴树仁, 王涛, 等. 甘肃天水泥岩剪切蠕变行为及其模型研究[J]. 岩石力学与工程学报, 2019, 38(增刊2): 3603-3617. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2019S2035.htm
ZHANG Ze-lin, WU Shu-ren, WANG Tao, et al. Study on shear creep behavior and its model of mudstone in Tianshui, Gansu Province[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(S2): 3603-3617. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2019S2035.htm
|
| [7] |
梅胜尧, 王伟, 秦志军, 等. 考虑裂隙塑性的岩石非线性分数阶蠕变模型[J]. 河海大学学报(自然科学版), 2019, 47(6): 548-554. https://www.cnki.com.cn/Article/CJFDTOTAL-HHDX201906011.htm
MEI Sheng-yao, WANG Wei, QIN Zhi-jun, et al. A nonlinear creep model based on fractional order theory considering the plasticity of fissures for rocks[J]. Journal of Hohai University(Natural Sciences), 2019, 47(6): 548-554. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HHDX201906011.htm
|
| [8] |
刘泉声, 罗慈友, 彭星新, 等. 软岩现场流变试验及非线性分数阶蠕变模型研究[J]. 煤炭学报, 2020, 45(4): 1348-1356. https://www.cnki.com.cn/Article/CJFDTOTAL-MTXB202004017.htm
LIU Quan-sheng, LUO Ci-you, PENG Xing-xin, et al. Research on field rheological test and nonlinear fractional derivative creep model of weak rock mass[J]. Journal of China Coal Society, 2020, 45(4): 1348-1356. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MTXB202004017.htm
|
| [9] |
ZHOU H W, WANG C P, HAN B B, et al. 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.
|
| [10] |
ZHU H H, YE B, CAI Y C, et al. An elasto-viscoplas-tic model for soft rock around tunnels considering overconsolidationand structure effects[J]. Computers and Geotechnics, 2013, 50: 6-16.
|
| [11] |
LI S Y, LAI Y M, ZHANG S J. An improved statistical damage constitutive model for warm frozen clay based on Mohr-Coulomb criterion[J]. Cold Regions Science and Technology, 2009, 57(12): 154-159.
|
| [12] |
LIU W B, ZHANG S G. Creep Parameter Determination and model establishment considering stress and time effects[J]. Geotechnical and Geological Engineering, 2019, 38(2): 1509-1520.
|
| [13] |
KACHNOV M. Effective elastic properties of cracked solids:critical review of some basic concepts[J]. Applied Mechanics Review, 1992, 45(8): 304-335.
|
| [14] |
沈才华, 张兵, 王文武. 一种基于应变能理论的黏弹塑性蠕变本构模型[J]. 岩土力学, 2014, 35(12): 3430-3436. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201412012.htm
SHEN Cai-hua, ZHANG Bing, WANG Wen-wu. A new viscoela-stoplastic creep constitutive model based on strain energy theory[J]. Rock and Soil Mechanics, 2014, 35(12): 3430-3436. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201412012.htm
|
| [15] |
ZHOU H W, WANG C P, MISHNAEVSKY L Jr, et al. A fractional derivative approach to full creep regions in salt rock[J]. Mechanics of Time-Dependent Materials, 2013, 17(3): 413-425.
|
| [16] |
刘开云, 薛永涛, 周辉. 参数非定常的软岩非线性黏弹塑性蠕变模型[J]. 中国矿业大学学报, 2018, 47(4): 921-928. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD201804030.htm
LIU Kai-yun, XUE Yong-tao, ZHOU Hui. Anonlinear viscoelastic-plastic creep model of soft rock with unsteady parameters[J]. Journal of China University of Mining & Technology, 2018, 47(4): 921-928. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD201804030.htm
|
| [17] |
RUTTER E H. On the creep testing of rocks at constant stress and constant force[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1972, 9(2): 191-195.
|
| [18] |
张树光, 孙成鑫, 王有涛, 等. 海棠山隧道砂岩变参数蠕变特性研究[J]. 公路交通科技, 2016, 33(10): 105-110. https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK201610016.htm
ZHNAG Shu-guang, SUN Cheng-xin, WANG You-tao, et al. Study on variable parameter creep characteristics of sandstone in Haitangshan Tunnel[J]. Journal of Highway and Transportation Research and Development, 2016, 33(10): 105-110. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK201610016.htm
|
| [19] |
刘文博, 张树光, 李若木. 一种基于能量耗散理论的岩石加速蠕变模型[J]. 煤炭学报, 2019, 44(9): 2741-2750. https://www.cnki.com.cn/Article/CJFDTOTAL-MTXB201909014.htm
LIU Wen-bo, ZHANG Shu-guang, LI Ruo-mu. Research on accelerated creep model of rock based on energy dissipation theory[J]. Journal of China Coal Society, 2019, 44(9): 2741-2750. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MTXB201909014.htm
|
| [20] |
XU T, ZHOU G, HEAP M J, et al. The modeling of time-dependent deformation and fracturing of brittle rocks under varying confining and pore pressures[J]. Rock Mechanics and Rock Engineering, 2018, 51(10): 3241-3263.
|
| [21] |
何志磊, 朱珍德, 朱明礼, 等. 基于分数阶导数的非定常蠕变本构模型研究[J]. 岩土力学, 2016, 37(3): 737-744. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201603017.htm
HE Zhi-lei, ZHU De-zhen, ZHU Ming-li, et al. An unsteady creep constitutive model based on fractional order derivatives[J]. Rock and Soil Mechanics, 2016, 37(3): 737-744. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201603017.htm
|
| [22] |
韩阳, 谭跃虎, 李二兵, 等. 岩石非定常Burgers蠕变模型及其参数识别[J]. 工程力学, 2018, 35(3): 201-217. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201803024.htm
HAN Yang, TAN Yue-hu, LI Er-bin, et al. Non-stationary Burgers creep model of rock and its parameter identification[J]. Engineering Mechanics, 2018, 35(3): 201-217. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201803024.htm
|
| [23] |
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. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201804020.htm
ZHANG De, LIU En-long, LIU Xing-yan, 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. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201804020.htm
|