非饱和滑带土非线性Burgers蠕变模型
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摘要
基于非线性流变力学理论,建立了非饱和滑带土非线性Burgers蠕变模型。模型中不仅考虑滑带土非饱和特性-基质吸力对土蠕变特性的影响,同时考虑了与时间、应力状态有关的非线性黏滞体的流变特性,由非线性黏滞体替换Burgers模型中的线性黏滞体。对非饱和滑带土开展三轴蠕变试验,并对试验结果采用最小二乘法曲线拟合,获得了不同基质吸力下的蠕变参数,并将试验结果与Burgers模型拟合曲线以及提出的非线性Burgers模型拟合曲线进行对比。结果表明,采用非线性Burgers模型能很好地拟合试验结果,且与试验曲线的吻合程度、相关系数明显高于线性Burgers模型。
Based on nonlinear rheological-mechanical theory,a nonlinear Burgers creep model for unsaturated soil in slipping zone was established. In the creep model,the effect of matric suction on the creep behavior of soil,a characteristic of unsaturated soil in slipping zone,was considered,at the same time,the rheological characteristics of nonlinear viscous body related to time and the stress state were also considered,the nonlinear viscous body replaced the linear viscous body in the Burgers creep model. Triaxial creep test for the unsaturated soil in slipping zone was conducted,the experimental results were fitted by the curve of least squares method,and the creep parameters of different matric suction were obtained. At last,the experimental results were compared with the fitting curve of Burgers creep model and the fitting curve of nonlinear Burgers creep model. The comparison results show nonlinear Burgers creep model can better fit the experimental results,for the experimental curves,the coincidence level and correlation coefficient of the fitting curve is obviously higher than those of linear Burgers creep model.
Based on nonlinear rheological-mechanical theory,a nonlinear Burgers creep model for unsaturated soil in slipping zone was established. In the creep model,the effect of matric suction on the creep behavior of soil,a characteristic of unsaturated soil in slipping zone,was considered,at the same time,the rheological characteristics of nonlinear viscous body related to time and the stress state were also considered,the nonlinear viscous body replaced the linear viscous body in the Burgers creep model. Triaxial creep test for the unsaturated soil in slipping zone was conducted,the experimental results were fitted by the curve of least squares method,and the creep parameters of different matric suction were obtained. At last,the experimental results were compared with the fitting curve of Burgers creep model and the fitting curve of nonlinear Burgers creep model. The comparison results show nonlinear Burgers creep model can better fit the experimental results,for the experimental curves,the coincidence level and correlation coefficient of the fitting curve is obviously higher than those of linear Burgers creep model.
引文
[1]FREDLUND D G,杨宁.非饱和土的力学性能与工程应用[J].岩土工程学报,1991,13(5):24-35.
[2]LI Deying,YIN Kunlong,LEO C.Analysis of Baishuihe landslide influenced by the effects of reservoir water and rainfall[J].Environmental Earth Sciences,2010,60(4):677-687.
[3]PYTHAROULI S I,STIROS S C.Kinematics and rheology of a major landslide based on signal analysis[J].Géotechnique,2010,60(3):207-222.
[4]LIINGAARD M,AUGUSTESEN A,LADE P V.Characterization of models for time-dependent behavior of soils[J].International Journal of Geomechanics,2004,4(3):157-177.
[5]AUGUSTESEN A,LIINGAARD M,LADE P V.Evaluation of time-dependent behavior of soils[J].International Journal of Geomechanics,2004,4(3):137-156.
[6]黄志全,李小慧,孙怡,等.魏家沟滑坡滑带土非饱和蠕变特性试验研究[J].华北水利水电大学学报(自然科学版),2015,36(1):47-50.
[7]赖小玲,叶为民,王世梅.滑坡滑带土非饱和蠕变特性试验研究[J].岩土工程学报,2012,34(2):286-293.
[8]ZOU L,WANG S,LAI X.Creep model for unsaturated soils in sliding zone of Qianjiangping landslide[J].Journal of Rock Mechanics&Geotechnical Engineering,2013,5(2):162-167.
[9]祝艳波,余宏明.巴东组碎屑土夹层的非饱和蠕变经验模型[J].中国公路学报,2016,29(4):22-29.
[10]吕爱钟,丁志坤,焦春茂,等.岩石非定常蠕变模型辨识[J].岩石力学与工程学报,2008,27(1):16-21.
[11]曹树刚,边金,李鹏.岩石蠕变本构关系及改进的西原正夫模型[J].岩石力学与工程学报,2002,21(5):632-634.
[12]徐鹏,杨圣奇,陈国飞.改进的岩石Burgers流变模型及其试验验证[J].煤炭学报,2014,39(10):1993-2000.
[13]帅词俊,段吉安,王炯.关于黏弹性材料的广义Maxwell模型[J].力学学报,2006,38(4):565-569.
[14]康永刚,张秀娥.一种改进的岩石蠕变本构模型[J].岩土力学,2014,35(4):1049-1055.
[15]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.
[16]潘晓明,杨钊,许建聪.非定常西原黏弹塑性流变模型的应用研究[J].岩石力学与工程学报,2011,30(增刊1):2640-2646.
[17]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.
[18]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报,2007,26(6):1081-1106.
[19]孙钧.岩土材料流变及其工程应用[M].1版.北京:中国建筑工业出版社,1999.
[20]BISHOP A W,BLIGHT G E.Some aspects of effective stress in saturated and partially saturated soils[J].Geotechnique,1963,13(3):177-197.
[21]BOLZON G,SCHREFLER B A,ZIENKIWICZ O C.Elastoplastic soil constitutive laws generalized to partially saturated states[J].Gectechnique,1996,46(2):279-289.
[22]关倪,王世梅.非饱和土蠕变试验方法探讨[J].三峡大学学报(自然科学版),2008,30(2):32-34.
[2]LI Deying,YIN Kunlong,LEO C.Analysis of Baishuihe landslide influenced by the effects of reservoir water and rainfall[J].Environmental Earth Sciences,2010,60(4):677-687.
[3]PYTHAROULI S I,STIROS S C.Kinematics and rheology of a major landslide based on signal analysis[J].Géotechnique,2010,60(3):207-222.
[4]LIINGAARD M,AUGUSTESEN A,LADE P V.Characterization of models for time-dependent behavior of soils[J].International Journal of Geomechanics,2004,4(3):157-177.
[5]AUGUSTESEN A,LIINGAARD M,LADE P V.Evaluation of time-dependent behavior of soils[J].International Journal of Geomechanics,2004,4(3):137-156.
[6]黄志全,李小慧,孙怡,等.魏家沟滑坡滑带土非饱和蠕变特性试验研究[J].华北水利水电大学学报(自然科学版),2015,36(1):47-50.
[7]赖小玲,叶为民,王世梅.滑坡滑带土非饱和蠕变特性试验研究[J].岩土工程学报,2012,34(2):286-293.
[8]ZOU L,WANG S,LAI X.Creep model for unsaturated soils in sliding zone of Qianjiangping landslide[J].Journal of Rock Mechanics&Geotechnical Engineering,2013,5(2):162-167.
[9]祝艳波,余宏明.巴东组碎屑土夹层的非饱和蠕变经验模型[J].中国公路学报,2016,29(4):22-29.
[10]吕爱钟,丁志坤,焦春茂,等.岩石非定常蠕变模型辨识[J].岩石力学与工程学报,2008,27(1):16-21.
[11]曹树刚,边金,李鹏.岩石蠕变本构关系及改进的西原正夫模型[J].岩石力学与工程学报,2002,21(5):632-634.
[12]徐鹏,杨圣奇,陈国飞.改进的岩石Burgers流变模型及其试验验证[J].煤炭学报,2014,39(10):1993-2000.
[13]帅词俊,段吉安,王炯.关于黏弹性材料的广义Maxwell模型[J].力学学报,2006,38(4):565-569.
[14]康永刚,张秀娥.一种改进的岩石蠕变本构模型[J].岩土力学,2014,35(4):1049-1055.
[15]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.
[16]潘晓明,杨钊,许建聪.非定常西原黏弹塑性流变模型的应用研究[J].岩石力学与工程学报,2011,30(增刊1):2640-2646.
[17]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.
[18]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报,2007,26(6):1081-1106.
[19]孙钧.岩土材料流变及其工程应用[M].1版.北京:中国建筑工业出版社,1999.
[20]BISHOP A W,BLIGHT G E.Some aspects of effective stress in saturated and partially saturated soils[J].Geotechnique,1963,13(3):177-197.
[21]BOLZON G,SCHREFLER B A,ZIENKIWICZ O C.Elastoplastic soil constitutive laws generalized to partially saturated states[J].Gectechnique,1996,46(2):279-289.
[22]关倪,王世梅.非饱和土蠕变试验方法探讨[J].三峡大学学报(自然科学版),2008,30(2):32-34.