两种应变软化介质组成的边坡失稳研究
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摘要
对一个平面滑动型边坡,考虑滑面介质由两种应变软化介质材料组成,对应变软化介质存在损伤软化与水致软化两种软化方式。用指数分布描述滑带介质的剪应力与应变关系,建立了边坡系统的尖点突变模型。通过分析发现,边坡失稳与刚度比和边坡的几何/力学参数有极大关联性,这里考虑刚度比是含水率的函数,随着含水率的增加,刚度比不断发生变化。在一定条件下,由于含水率的增加和刚度比的增大,导致边坡失稳的危险性增大,这是降雨情况下边坡容易失稳的根本原因。
The instability of slope which consists of two strain-softening media is analyzed.The sliding surface is assumed to be planar.There are two factors,which are water and strain,for considering damage soften of the media.The shear stress-strain constitutive relation ship is described by the index distribution law.In this way,a cusp catastrophe model of slope system is established.Through the analytical result,it is discovered that the slope stability has close relation with the stiffness ratio k of medium 2 to medium 1,and the water content of sliding surface medium.Under some specific condition,it finds that with the increase of water content,which results in the change of stiffness ratio k,especially under the condition of rainfall,the landslide is easy to lose its stability.
The instability of slope which consists of two strain-softening media is analyzed.The sliding surface is assumed to be planar.There are two factors,which are water and strain,for considering damage soften of the media.The shear stress-strain constitutive relation ship is described by the index distribution law.In this way,a cusp catastrophe model of slope system is established.Through the analytical result,it is discovered that the slope stability has close relation with the stiffness ratio k of medium 2 to medium 1,and the water content of sliding surface medium.Under some specific condition,it finds that with the increase of water content,which results in the change of stiffness ratio k,especially under the condition of rainfall,the landslide is easy to lose its stability.
引文
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[2]贺可强,白建业,王思敬.降雨诱发堆积层滑坡的位移动力学特征分析[J].岩土力学,2005,26(5):705-709.HE Ke-qiang,BAI Jian-ye,WANG Si-jing.Analysis of displacement dynamic features of colluvial landslide induced by rainfal[J].Rock and Soil Mechanicsl,2005,26(5):705-709.
[3]蒋刚,林鲁生.边坡变形的灰色预测模型[J].岩土力学,2000,21(3):244-246.JIANG Gang,LIN Lu-sheng.Prediction grey model for slope displacement[J].Rock and Soil Mechanics,2000,21(3):244-246.
[4]秦四清.初论岩体失稳过程中耗散结构的形成机制[J].岩石力学与工程学报,2000,19(3):265-269.QIN Si-qing.Primary discussion on formation me-chanism of dissipative structure in instability process of rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(3):265-269.
[5]郭程谦.有软弱夹层岩体边坡稳定分析安全系数的确定[J].水利水电技术,1995,(3):27-30.GUO Cheng-qian The stability safety factor of rook slope with soft interlayers[J].Water Resources and Hy-dropower Engineering,1995,(3):27-30.
[6]SKEMPTON A W.Residual strength of clays in landslides,folded strata and the laboratory[J].Geo-technique,1985,35:3-18.
[7]秦四清,张倬元,王士天,等.非线性工程地质学导引[M].成都:西南交通大学出版社,1993.
[8]秦四清.斜坡失稳的突变模型与混沌机制[J].岩土工程学报,2000,19(4):486-492.QIN Si-qing.Nonlinear catastrophy model of slope instability and chaotic dynamics mechanism of slope evolution process[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(4):486-492.
[9]秦四清.斜坡失稳过程的非线性演化机制与物理预报[J].岩土工程学报,2005,27(11):1241-1248.QIN Si-qing Nonlinear evolutionary mechanisms and physical prediction of instability of planar-slip slope[J].Chinese Journal of Geotechnical Engineering,2005,27(11):1241-1248.
[10]龙辉,秦四清,万志清.降雨触发滑坡的尖点突变模型[J].岩石力学与工程学报,2005,27(11):1241-1248.LONG Hui,QIN Si-qing,WAN Zhi-qing.Catastrophe analysis of rainfall-induced landslides[J].Chinese Journal of Rock Mechanics and Engineering,2001,21(4):502-508.
[11]房营光.土质边坡失稳的突变模型[J].力学与实践,2004,26(4):24-27.FANG Ying-guang.Catastrophe analysis of soil slope instability[J].Mechanics in Engineering,2004,26(4):24-27.
[12]LAJTAI EZ.The influence of interlocking rock discontinuities on compressive strength(model experiments)[J].Felsmech Ingenieurgeol,1967,(5):217-228.
[13]GEHLE C,KUTTER H K.Breakage and shear behaviour of intermittent rock joints[J].Int.J.Rock Mech.Min.Sci.,2003,40:687-700.
[14]弗雷德隆德,拉哈尔佐.非饱和土土力学[M].北京:中国建筑工业出版社,l997.
[15]殷有泉,杜静.地震过程的燕尾突变模型[J].地震学报,1994,16(4):416-422.YIN You-quan,DU Jing.Coattail catastrophe of earthquake process[J].Acta Seismologica Sinica,1994,16(4):416-422.
[16]凌复华译.灾变理论入门[M].上海:上海科学技术文献出版社,1983:45-67.
[17]谢应齐,曹杰.非线性动力学数学方法[M].北京:气象出版社,2001:45-75.
[18]广东省南方岩土基础工程公司.深圳水库左副坝高边坡稳定性分析[R].广州:广东省南方岩土基础工程公司,2000.
[19]吴宏伟,陈守义.雨水入渗对非饱和土坡稳定性影响的参数研究[J].岩土力学,1999,20(1):1-14.WU Hong-wei,CHEN Shou-yi.Parametric study of effects of rain infiltration of unsaturated slopes[J].Rock and Soil Mechanics,1999,20(1):1-14.
[20]燕彬,李前,许炳,等.渗流对基坑稳定的影响[J].山东建筑学院院报,2001,15(1):63-65.YAN Bin,LI Qian,XU Bing,et al.Influence of seepage in pit stability[J].Journal of Shandong Institute of Building Materials,2001,15(1):63-65.
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