|
|
|
| 3D CREEP CONSTITUTIVE EQUATION OF MODIFIED NISHIHARA MODEL AND ITS PARAMETERS IDENTIFICATION |
| QI Yajing1，JIANG Qinghui1，2，WANG Zhijian3，ZHOU Chuangbing1，2 |
| (1. State Key Laboratory of Water Resources and Hydropower Engineering Science，Wuhan University，Wuhan，Hubei 430072，China；2. School of Civil and Architectural Engineering，Wuhan University，Wuhan，Hubei 430072，China；3. Key Laboratory of Geological Hazards on Three Gorges Reservoir Area，Ministry of Education，China Three Gorges University，Yichang，Hubei 443002，China) |
|
|
|
|
Abstract The classical Nishihara model is composed of the Hooke body，viscoelastic body and viscoplastic body，which can hardly describe the rheological feature of nonlinear accelerating creep of rocks. By connecting a nonlinear viscous dashpot with a strain trigger and the classical Nishihara model in series，a modified Nishihara model is obtained and a 3D creep constitutive equation for rocks under constant stress is deduced. Through fitting with a rheological curve from experiments on red sandstones from Wanzhou in the Three Gorges reservoir area，parameters of the modified Nishihara model are derived. Comparison between the actual experimental data and the fitting curve of the modified Nishihara model shows that not only an adequate reflection of primary and steady creep stages，but also a well depiction of accelerating creep stage can be obtained. Accelerating creep is a key stage for landslides forecast. So success of the modified Nishihara model in representing this stage contributes greatly to landslide forecasting.
|
|
Received: 22 April 2011
|
|
|
|
| [1] 孙 钧. 岩土材料流变及其工程应用[M]. 北京：中国建筑工业出版社，1999：3–11.(SUN Jun. Rheological behavior of geomaterials and its engineering application[M]. Beijing：China Architecture and Building Press，1999：3–11.(in Chinese))
[2] 张向东，李永靖，张树光，等. 软岩蠕变理论及其工程应用[J]. 岩石力学与工程学报，2004，23(10)：1 635–1 639.(ZHANG Xiangdong，LI Yongjing，ZHANG Shuguang，et al. Creep study of soft rock and its engineering application[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(10)：1 635–1 639.(in Chinese))
[3] 徐 平，夏熙伦. 三峡枢纽岩体结构面蠕变模型初步研究[J]. 长江科学院院报，1992，9(1)：42–46.(XU Ping，XIA Xilun. A study on the creep model of rock mass discontinuity of the Three Gorges project[J]. Journal of Yangtze River Scientific Research Institute，1992，9(1)：42–46.(in Chinese))
[4] 张学忠，王 龙，张代钧，等. 攀钢朱矿东山头边坡辉长岩流变特性试验研究[J]. 重庆大学学报：自然科学版，1999，22(5)：99–103.(ZHANG Xuezhong，WANG Long，ZHANG Daijun，et al. A experimental study on rheological characteristics of gabbro in East Mountain Slope of Zhujiabao Mine[J]. Journal of Chongqing University：Natural Science，1999，22(5)：99–103.(in Chinese))
[5] YANG C H，DAEMEN J J K，YIN J H. Experimental investigation of creep behavior of salt rock[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(2)：233–242.
[6] WANG G J. A new constitutive creep-damage model for rock and its characteristic[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(Supp.1)：61–67.
[7] SHAO J F，ZHU Q Z，SU K. Modeling of creep in rock materials in terms of material degradation[J]. Computers and Geotechnics，2003，30(7)：549–555.
[8] SHAO J F，CHAU K T，FENG X T. Modeling of anisotropic damage and creep deformation in brittle rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(4)：582–592.
[9] LI W Q，LI X D，HAN B，et al. Recongnition of creep model of layer composite rock mass and its application[J]. Journal of Central South University of Technology，2007，17(Supp.1)：329–331.
[10] 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.
[11] BOUKHAROV G N，CHANDA M W，BOUKHAROV N G. The three processes of brittle crystalline rock creep[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1995，32(4)：325–335.
[12] 徐卫亚，杨圣奇，褚卫江. 岩石非线性黏弹塑性流变模型(河海模型)及其应用[J]. 岩石力学与工程学报，2006，25(3)：433–447.(XU Weiya，YANG Shengqi，CHU Weijiang. Nonlinear viscoelasto-plastic rheological model(Hohai model) of rock and its engineering application[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(3)：433–447.(in Chinese))
[13] 夏才初，王晓东，许崇帮，等. 用统一流变力学模型理论辨识流变模型的方法和实例[J]. 岩石力学与工程学报，2008，27(8)：1 594–1 600.(XIA Caichu，WANG Xiaodong，XU Chongbang，et al. Method to identify rheological model by unified rheological model theory and case study[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(8)：1 594–1 600.(in Chinese))
[14] 殷坤龙，姜清辉，汪 洋. 新滩滑坡运动全过程的非连续变形分析与仿真模拟[J]. 岩石力学与工程学报，2002，21(7)：959–962.(YIN Kunlong，JIANG Qinghui，WANG Yang. Numerical simulation on the movement process of Xintan landslide by DDA method[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(7)：959–962. (in Chinese))
[15] 黄润秋，赵松江，宋肖冰，等. 四川省宣汉县天台乡滑坡形成过程和机制分析[J]. 水文地质工程地质，2005，32(1)：13–15.(HUANG Runqiu，ZHAO Songjiang，SONG Xiaobing，et al. The formation and mechanism analysis of Tiantai Landslide，Xuanhan County，Sichuan Province[J]. Hydrogeology and Engineering Geology，2005，32(1)：13–15.(in Chinese))
[16] 陶 波，伍法权，郭改梅，等. 西原模型对岩石流变特性的适应性及其参数确定[J]. 岩石力学与工程学报，2005，24(17)：3 165–3 171. (TAO Bo，WU Faquan，GUO Gaimei，et al. Flexibility of visco- elastoplastic model to rheological characteristics of rock and solution of rheological parameter[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(17)：3 165–3 171.(in Chinese))
[17] 韩 冰，王芝银，郝庆泽. 某地区花岗石三轴蠕变试验及其损伤分岔特性研究[J]. 岩石力学与工程学报，2007，26(增 2)：4 123–4 129. (HAN Bing，WANG Zhiyin，HAO Qingze. Study of damage and bifurcation properties of some granites based on triaxial creep experiment[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(Supp.2)：4 123–4 129.(in Chinese))
[18] 蒋昱州，张明鸣，李良权. 岩石非线性黏弹塑性蠕变模型研究及其参数辨识[J]. 岩石力学与工程学报，2008，27(4)：832–839.(JIANG Yuzhou，ZHANG Mingming，LI Liangquan. Study on nonlinear viscoelasto-plastic creep model of rock and its parameter identification[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(4)：832–839.(in Chinese))
[19] 朱杰兵，汪 斌，邬爱清. 锦屏水电站绿砂岩三轴卸荷流变试验及非线性损伤蠕变本构模型研究[J]. 岩石力学与工程学报，2010，29(3)：528–534.(ZHU Jiebing，WANG Bin，WU Aiqing. Study of unloading triaxial rheological tests and its nonlinear damage constitutive model of Jinping hydropower station green sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(3)：528–534.(in Chinese))
[20] 袁海平，曹 平，许万忠，等. 岩石黏弹塑性本构关系及改进的Burgers 蠕变模型[J]. 岩土工程学报，2006，28(6)：796–799.(YUAN Haiping，CAO Ping，XU Wanzhong，et al. Visco elasto-plastic constitutive relationship of rock and modified Burgers creep model[J]. 2006，28(6)：796–799.(in Chinese))
[21] 杨文东，张强勇，陈 芳，等. 辉绿岩非线性流变模型及蠕变加载历史的处理方法研究[J]. 岩石力学与工程学报，2011，30(7)：1 405–1 413.(YANG Wendong，ZHANG Qiangyong，CHEN Fang，et al. Research on nonlinear rheological model of diabase and treatment for creep loading history[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(7)：1 405–1 413.(in Chinese))
[22] ZIENKIEWICZ O C，CORMEAU I C. Visco-plasticity-plasticity and creep in elastic solides—a unified numerical solution approach[J]. International Journal for Numerical Method in Engineering，1974，8(4)：821–845.
[23] 余启华. 岩石的流变破坏过程及有限元分析[J]. 水利学报，1985，6(1)：55–61.(YU Qihua. Rheological failure process of rock and finite element analysis[J]. Journal of Hydraulic Engineering，1985，6(1)：55–61.(in Chinese)) |
|
|
|
2012, Vol. 31 
