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Journal of Mountain Science 2017年第11期14卷 2311-2324页

作者： deng dong-ping LI Liang ZHAO Lian-heng School of Civil Engineering Central South University

When the slope is in critical limit equilibrium(LE) state, the strength parameters have different contribution to each other on maintaining slope stability. That is to say that the strength parameters are not simultaneously reduced. Hence, the LE stress method is established to analyze the slope stability by employing the double strengthreduction(DSR) technique in this work. For calculation model of slope stability under the DSR technique, the general nonlinear Mohr–Coulomb(M–C) criterion is used to describe the shear failure of slope. Meanwhile, the average and polar diameter methods via the DSR technique are both adopted to calculate the comprehensive factor of safety(FOS) of slope. To extend the application of the polar diameter method, the original method is improved in the proposed method. After comparison and analysis on some slope examples, the proposed method's feasibility is verified. Thereafter, the stability charts of slope suitable for engineering application are drawn. Moreover, the studies show that:(1) the average method yields similar results as that of the polardiameter method;(2) compared with the traditional uniform strength-reduction(USR) technique, the slope stability obtained using the DSR techniquetends to be more unsafe; and(3) for a slope in the critical LE state, the strength parameter φ, i.e., internal friction angle, has greater contribution on the slope stability than the strength parameters c, i.e., cohesion.

关键词： Slope stability Nonlinear Mohr-Coulomb (M-C) criterion Double strength-reduction(DSR) technique Slope Comprehensive Factor ofSafety (FOS) Stability charts

Limit equilibrium stability analysis of slopes under external loads

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Journal of Central South University 2016年第9期23卷 2382-2396页

作者： deng dong-ping ZHAO Lian-heng LI Liang School of Civil Engineering Central South University Changsha 410075 China

Two calculation modes for the effect of external load on slope stability, i.e., mode I in which the external load is thought to act on slope surface, and mode II in which the external load is thought to act on slip surface along the force action line, were considered. Meanwhile, four basic distribution patterns of external load were used, of which complex external loads could be composed. In analysis process, several limit equilibrium methods, such as Swedish method, simplified Bishop method, simplified Janbu method, Spencer method, Morgenstern-Price(M-P) method, Sarma method, and unbalanced thrust method, were also adopted to contrast their differences in slope stability under the external load. According to parametric analysis, some conclusions can be obtained as follows:(1) The external load, with the large magnitude, small inclination angle, and acting position close to the slope toe,has more positive effect on slope stability;(2) The results calculated using modes I and II of external load are similar, indicating that the calculation mode of external load has little influence on slope stability;(3) If different patterns of external loads are equivalent to each other, their slope stability under these external loads are the same, and if not, the external load leads to the better slope stability,as action position of the resultant force for external load is closer to the lower sliding point of slip surface.

关键词： slope stability calculation mode of external load distribution pattern of external load limit equilibrium slip surface factor of safety (FOS)

Limit equilibrium analysis for stability of soil nailed slope and optimum design of soil nailing parameters

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Journal of Central South University 2017年第11期24卷 2496-2503页

作者： deng dong-ping LI Liang ZHAO Lian-heng School of Civil Engineering Central South UniversityChangsha 410075China

Reinforcement of slopes using soil nailing can effectively improve slope stability, and it has been widely used in upgrading cut slopes. Based on the assumptions of stresses on the slip surface, a new method for analyzing the stability of a slope reinforced with soil nails was established in the limit equilibrium theory framework, by considering that slope sliding occurs owing to shear failure of the slip surface, which subjects to Mohr–Coulomb(M–C) strength criterion. Meanwhile, in order to easily analyze the stability of a soil nailed slope in actual engineering and facilitate optimum design of parameters for soil nailing, factor of safety(FOS) contour curve charts were drawn on the basis of the established linear proportional relationship between the spacing of soil nails and slope height, and the length of soil nails and slope height. Then, by analyzing and verifying the results obtained from classic examples, some conclusions can be got as follows: 1) The results obtained from the current method are close to those obtained from the traditional limit equilibrium methods, and the current method can provide a strict solution for the slope FOS as it satisfies all the static equilibrium conditions of a sliding body, thus confirming the feasibility of the current method; 2) The slope FOS contour curve charts can be used not only to reliably analyze the stability of a soil nailed slope, but also to design optimally the parameters of soil nailing for the slope with a certain safety requirement.

关键词： slope stability soil nailing limit equilibrium factor of safety contour curve optimum design

Limit equilibrium method for slope stability based on assumed stress on slip surface

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Journal of Central South University 2016年第11期23卷 2972-2983页

作者：邓东平赵炼恒李亮 School of Civil Engineering Central South University

In the limit equilibrium framework, two- and three-dimensional slope stabilities can be solved according to the overall force and moment equilibrium conditions of a sliding body. In this work, based on Mohr-Coulomb(M-C) strength criterion and the initial normal stress without considering the inter-slice(or inter-column) forces, the normal and shear stresses on the slip surface are assumed using some dimensionless variables, and these variables have the same numbers with the force and moment equilibrium equations of a sliding body to establish easily the linear equation groups for solving them. After these variables are determined, the normal stresses, shear stresses, and slope safety factor are also obtained using the stresses assumptions and M-C strength criterion. In the case of a three-dimensional slope stability analysis, three calculation methods, namely, a non-strict method, quasi-strict method, and strict method, can be obtained by satisfying different force and moment equilibrium conditions. Results of the comparison in the classic two- and three-dimensional slope examples show that the slope safety factors calculated using the current method and the other limit equilibrium methods are approximately equal to each other, indicating the feasibility of the current method; further, the following conclusions are obtained: 1) The current method better amends the initial normal and shear stresses acting on the slip surface, and has the identical results with using simplified Bishop method, Spencer method, and Morgenstern-Price(M-P) method; however, the stress curve of the current method is smoother than that obtained using the three abovementioned methods. 2) The current method is suitable for analyzing the two- and three-dimensional slope stability. 3) In the three-dimensional asymmetric sliding body, the non-strict method yields safer solutions, and the results of the quasi-strict method are relatively reasonable and close to those of the strict method, indicatin

关键词： two-dimensional slope three-dimensional slope limit equilibrium analysis normal stress shear stress safety factor

基于非线性统一强度理论下的边坡稳定性极限平衡分析

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岩土力学 2015年第9期36卷 2613-2623页

作者：邓东平李亮中南大学土木工程学院湖南长沙410075

在边坡稳定性分析中,常采用的强度准则一般较少考虑中主应力对边坡破坏效应的影响,然而岩体的实际应力状况表明中主应力存在,且中主应力对边坡岩体的强度潜能发挥起着重要作用。基于考虑中主应力的统一强度理论下的Hoek-Brown(简称H-B)... 详细信息

在边坡稳定性分析中,常采用的强度准则一般较少考虑中主应力对边坡破坏效应的影响,然而岩体的实际应力状况表明中主应力存在,且中主应力对边坡岩体的强度潜能发挥起着重要作用。基于考虑中主应力的统一强度理论下的Hoek-Brown(简称H-B)准则,通过对滑动面上的应力进行假设,并采用泰勒级数简化统一强度理论下的H-B准则表达式,然后根据滑动体满足所有静力平衡条件求解滑动面上的应力,进而得到边坡的安全系数。当中主应力影响系数b=0时(即为基本H-B强度准则),与等效的线性Mohr-Coulomb(简称M-C)强度准则下的瑞典法1、简化Bishop法、Spencer法和Morgenstern-Price(简称M-P)法以及基于统一强度理论下的瑞典法2进行算例对比分析,验证了方法的可行性。同时,以边坡的坡高H、坡角β和b为变量进行参数分析,研究表明:b增大(即中主应力对边坡的破坏效应影响越大)时,计算所得的安全系数增大,由此表明基本H-B强度准则下分析所得的边坡稳定性偏于安全。另外,由于提出的方法能够满足滑动体的所有静力平衡条件,且对未考虑条间作用力影响所得滑动面上的初始正应力进行了修正,故此方法较瑞典法2所得结果要大且更为严格。

关键词：边坡稳定性极限平衡滑动面应力统一强度理论 H-B强度准则安全系数

基于滑动面应力假设下的三维边坡稳定性极限平衡法研究

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岩土力学 2017年第1期38卷 189-196页

作者：邓东平李亮中南大学土木工程学院湖南长沙410075

基于滑动面法向应力的简单计算模式及Mohr-Coulomb强度准则,多个计算参数被使用对滑动面应力进行合理假设,并依据三维滑动体所满足的静力平衡条件,推导三维边坡稳定性极限平衡解答。同时,在三维边坡稳定性分析中,以往研究成果被采用对... 详细信息

基于滑动面法向应力的简单计算模式及Mohr-Coulomb强度准则,多个计算参数被使用对滑动面应力进行合理假设,并依据三维滑动体所满足的静力平衡条件,推导三维边坡稳定性极限平衡解答。同时,在三维边坡稳定性分析中,以往研究成果被采用对滑动面剪应力方向进行假定,且基于所采用极限平衡方程数目的不同,由此实现三维边坡极限平衡非严格法、准严格法和严格法。经与经典算例对比,验证了方法的可行性,并分析了三维非对称滑动体时非严格法、准严格法和严格法之间所得结果的差异。研究表明:非严格法所得计算结果偏小,其分析得到的边坡稳定性较为保守;准严格法与严格法计算所得结果接近,故采用不完全满足滑动体所有静力平衡条件的准严格法同样能得到较为可靠的安全系数。此外,所提方法构建了合理的滑动面应力假设,且求解过程简单,无需迭代计算,便于编程,从而利于工程应用。

关键词：三维边坡极限平衡稳定性分析滑动面应力安全系数

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水平条分法下边坡稳定性分析与计算方法研究

岩土力学 2012年第10期33卷 3179-3188页

作者：邓东平李亮中南大学土木工程学院长沙410075

极限平衡水平条分法较适用于成层岩土边坡,但较竖直条分法尚有不足之处。通过研究水平条分与竖直条分中条间力的关系,建立起水平与竖直条分法相对应的条间力假设条件;并针对水平条分法遇到滑动面存在弓形体时,采取水平条分和斜条分相结... 详细信息

极限平衡水平条分法较适用于成层岩土边坡,但较竖直条分法尚有不足之处。通过研究水平条分与竖直条分中条间力的关系,建立起水平与竖直条分法相对应的条间力假设条件;并针对水平条分法遇到滑动面存在弓形体时,采取水平条分和斜条分相结合的模式进行处理。在此基础上,推导出了瑞典法、简化Bishop法、简化Janbu法和Morgenster-Price(M-P)法在水平条分时的安全系数计算公式,其中,根据满足条件不同,得到了瑞典法的两种不同安全系数计算公式,并根据以往研究成果将一般简化Janbu法进行改进。当使用任意曲线和圆弧滑动面两种型式时,通过算例对比分析,验证了对水平条分法所做研究的可行性。同时,也表明了两种瑞典法得到的结果是一致的,改进的简化Janbu法在边坡稳定性分析上较一般简化Janbu法更优。

关键词：边坡稳定水平条分条间力安全系数滑动面

Upper bound analysis of ultimate pullout capacity of shallow 3-D circular plate anchors based on nonlinear Mohr-Coulomb failure criterion

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Journal of Central South University 2018年第9期25卷 2272-2288页

作者： ZHAO Lian-heng TAN Yi-gao HU Shi-hong deng dong-ping YANG Xin-ping School of Civil Engineering Central South University Key Laboratory of Heavy-haul Railway Engineering Structure of Ministry of Education Central South University

Based on the nonlinear Mohr-Coulomb failure criterion and the associated flow rules,the three-dimensional(3-D)axisymmetric failure mechanism of shallow horizontal circular plate anchors that are subjected to the ultimate pullout capacity(UPC)is determined.A derivative function of the projection function for projecting the 3-D axisymmetric failure surface on plane is deduced using the variation *** using difference principle,the primitive function of failure surface satisfying boundary condition and numerical solution to its corresponding ultimate pullout capacity function are *** influences of nonlinear Mohr-Coulomb parameters on UPC and failure mechanism are *** result shows that UPC decreases with dimensionless parameter m and uniaxial tensile strength increases but increases when depth and radius of plate anchor,surface overload,initial cohesion,geomaterial density and friction angle *** failure surface is similar to a symmetrical spatial funnel,and its shape is mainly determined by dimensionless parameter m;the surface damage range expands with the increase of radius and depth of the plate anchor as well as initial cohesion but decreases with the increase of dimensionless parameter m and uniaxial tensile strength as well as geomaterial *** the dimensionless parameter m=2.0,the numerical solution of UPC based on the difference principle is proved to be feasible and effective through the comparison with the exact *** addition,the comparison between solutions of UPC computed by variation method and those computed by upper bound method indicate that variation method outperforms upper bound method.

关键词： shallow circular plate anchors ultimate pullout capacity variation analysis nonlinear Mohr-Coulomb failure criterion upper bound limit analysis

地震荷载作用下土钉支护边坡稳定性拟静力分析

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岩土力学 2012年第6期33卷 1787-1794页

作者：邓东平李亮罗伟中南大学土木工程学院长沙410075

在极限平衡分析框架内,使用滑动面搜索新方法和圆弧滑动面方法对地震作用下的土钉支护边坡进行稳定性分析。考虑地震作用时,采用拟静力分析方法,并根据不同的条分模式,推导出水平地震动态分布系数的计算公式。针对地震效应下圆弧滑动面... 详细信息

在极限平衡分析框架内,使用滑动面搜索新方法和圆弧滑动面方法对地震作用下的土钉支护边坡进行稳定性分析。考虑地震作用时,采用拟静力分析方法,并根据不同的条分模式,推导出水平地震动态分布系数的计算公式。针对地震效应下圆弧滑动面竖直条分法的不足,采用水平和竖直条分法相结合的改进方式。通过算例对比分析,并研究土钉支护间距与不同地震烈度条件下土钉长度的变化对边坡静力和动力稳定性的影响,结果表明,滑动面搜索新方法计算得的最小安全系数与圆弧滑动面方法的计算结果颇为接近,且比以往研究成果要小,可说明滑动面搜索新方法的可行性;在土钉支护边坡的静力和动力稳定性分析中,滑动面搜索新方法计算得的临界滑动面与临界圆弧滑动面接近,但表现出非圆弧特性;在一定程度上可减小土钉支护间距和增大土钉长度,可有效地改善土钉支护边坡在地震作用下的稳定性。

关键词：边坡稳定性分析土钉地震作用拟静力法曲线滑动面圆弧滑动面安全系数

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基于滑动面搜索的分层土坡稳定性分析新方法

中南大学学报（自然科学版） 2012年第10期43卷 3995-4002页

作者：李亮邓东平赵炼恒中南大学土木工程学院湖南长沙410075

在边坡稳定性分析中,以随机角生成的随机曲线为基础,通过对随机过程进行分析和简化,用可以模拟随机曲线的近似曲线代替随机曲线进行最危险滑动面搜索。将这种滑动面搜索的新方法应用于分层土坡中,其中分层土坡分为水平分层、倾斜分层和... 详细信息

在边坡稳定性分析中,以随机角生成的随机曲线为基础,通过对随机过程进行分析和简化,用可以模拟随机曲线的近似曲线代替随机曲线进行最危险滑动面搜索。将这种滑动面搜索的新方法应用于分层土坡中,其中分层土坡分为水平分层、倾斜分层和斜折线分层这几种型式。选择多个算例与现有成果进行对比分析,并单独考虑软弱夹层对滑动面选择有影响的分层土坡,结合已有研究成果,通过实例分析讨论新方法对该类分层土坡进行稳定性分析时滑动面型式的选择。研究结果表明:采用新方法计算出的最小安全系数略小,得到的最危险滑动面也颇接近,可以证明新方法的有效性;该新方法可直接应用于工程实践。

关键词：边坡稳定性分析分层土坡滑动面搜索简化Janbu法软弱夹层安全系数