加筋土边坡稳定性分析的水平条分法
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摘要
加筋土是一种新型的经济可靠的边坡加固方式。针对新型加筋土边坡带来的问题和基于垂直条块划分的极限平衡方法的不足,提出了一种严格满足力与力矩的平衡的极限平衡分析方法。基于水平条块的严格条分法将滑体水平的划分成若干条块,边坡中的加筋材料产生的抗力作为附加外力作用于条块上,再应用极限平衡的思想和假设对典型条块的受力状态进行分析。根据极限平衡条件推导了边坡安全系数的隐式表达式,再通过力矩的平衡,求解条间力待定系数,进而叠代求解安全系数。说明了利用本文公式计算坡顶极限承载力的方法。该方法计算结果较经典极限平衡法结果稍大。
Reinforced soil is a new economical and dependable method of slope reinforcement. Aimed at problems new type reinforced soil slope brought and the shortage of limit equilibrium method based on vertical slice, a rigorous approach based on horizontal slice for limit equilibrium analysis method is presented, in which the reinforcement force was assumed horizontal and failing at its maximum tensile strength. Limit equilibrium method based on horizontal slice divide slide body into horizontal slices, regards the resistance of reinforced material as additional outer forces, and then apply assumptions of limit equilibrium method to analyze forces acting on slices. Status of typical slice is analyzed, and implicit expression is derived by utilize of force equilibrium. The coefficient of interslice force is solved through moment equilibrium, and ultimately the real safety factor is approached iteratively. Bearing capacity of slope is also studied. Case study shows that the result of the method presented is a little bigger than classic limit equilibrium method.
Reinforced soil is a new economical and dependable method of slope reinforcement. Aimed at problems new type reinforced soil slope brought and the shortage of limit equilibrium method based on vertical slice, a rigorous approach based on horizontal slice for limit equilibrium analysis method is presented, in which the reinforcement force was assumed horizontal and failing at its maximum tensile strength. Limit equilibrium method based on horizontal slice divide slide body into horizontal slices, regards the resistance of reinforced material as additional outer forces, and then apply assumptions of limit equilibrium method to analyze forces acting on slices. Status of typical slice is analyzed, and implicit expression is derived by utilize of force equilibrium. The coefficient of interslice force is solved through moment equilibrium, and ultimately the real safety factor is approached iteratively. Bearing capacity of slope is also studied. Case study shows that the result of the method presented is a little bigger than classic limit equilibrium method.
引文
[1] Zhu D Y, Lee C F, Jiang H D. Generalized Framework of Limit Equilibrium Methods and Numerical Procedure for Slope Stability Analysis[J]. Geotechnique, 2003, 53(4) : 377-395
[2] 范鹏贤,郭志昆,朱大勇.牛顿法计算Sarma法边坡安全系数[J].防灾减灾工程学报.2006,28(3) :274-278．
[3] Shahgholi M, Fakher A , Jones C J F P. Horizontal slice method of analysis[J]. Geotechnique, 2001, 51 (10) : 881-885．
[4] 陈昌富,杨宇.边坡稳定性分析水平条分法及其进化计算[J].湖南大学学报(自然科学版),2004,31(3) :72-75．
[5] 陈昌富,杨宇,龚晓南.基于遗传算法地震荷载作用下边坡稳定性分析水平条分法[J].岩石力学与工程学报,2003,22(11) :1919-1923．
[6] 王志斌,李亮,杨小礼.水平条分法在贴坡高填方路堤稳定性分析中的应用[J].中国公路学报,2007,20(3) :29-34．
[7] 肖成志,刘波,栾茂田.土工合成材料及其加筋结构的研究现状[J].岩土工程技术,2008,22(2) :79-84．
[8] 乔丽平,王钊.加筋土挡墙和陡坡研究现状[J].三峡大学学报(自然科学版),2004,26(4) :317-320．
[9] Ennio M, Palmeira, Jose H. F, Antonio R. L. da Silva. Backanalyses of geosynthetic reinforced embankments on soft soils[J]. Oeotextiles and Geomembranes, 1998, 16: 273-292．
[10] Andrzej Sawicki. Mechanics of Reinforced Soil[M]. Netherlands: A. A. Balkema Publishers, 2000．
[2] 范鹏贤,郭志昆,朱大勇.牛顿法计算Sarma法边坡安全系数[J].防灾减灾工程学报.2006,28(3) :274-278．
[3] Shahgholi M, Fakher A , Jones C J F P. Horizontal slice method of analysis[J]. Geotechnique, 2001, 51 (10) : 881-885．
[4] 陈昌富,杨宇.边坡稳定性分析水平条分法及其进化计算[J].湖南大学学报(自然科学版),2004,31(3) :72-75．
[5] 陈昌富,杨宇,龚晓南.基于遗传算法地震荷载作用下边坡稳定性分析水平条分法[J].岩石力学与工程学报,2003,22(11) :1919-1923．
[6] 王志斌,李亮,杨小礼.水平条分法在贴坡高填方路堤稳定性分析中的应用[J].中国公路学报,2007,20(3) :29-34．
[7] 肖成志,刘波,栾茂田.土工合成材料及其加筋结构的研究现状[J].岩土工程技术,2008,22(2) :79-84．
[8] 乔丽平,王钊.加筋土挡墙和陡坡研究现状[J].三峡大学学报(自然科学版),2004,26(4) :317-320．
[9] Ennio M, Palmeira, Jose H. F, Antonio R. L. da Silva. Backanalyses of geosynthetic reinforced embankments on soft soils[J]. Oeotextiles and Geomembranes, 1998, 16: 273-292．
[10] Andrzej Sawicki. Mechanics of Reinforced Soil[M]. Netherlands: A. A. Balkema Publishers, 2000．
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