| 基于非线性破坏准则的主动土压力上限计算 |
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| 引用本文： | 杨建民.基于非线性破坏准则的主动土压力上限计算[J].岩土力学,2009,30(2):503-508. |
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| 作者姓名： | 杨建民 |
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| 作者单位： | 湖南城市学院,土木工程学院,湖南,益阳,413000 |
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| 摘 要： | 主要叙述了一种基于非线性破坏准则下的主动土压力计算分析方法。引入Power-Law非线性破坏准则，并根据切线法引入了变量 ，建立了一个统一的容许速度场，通过上限分析得出了主动土压力的计算表达式。由于主动土压力计算表达式中自变量个数繁多，为实现对上限解的最优化，应用了大型的数学规划软件，采用了目前广泛使用的SQP算法，得出了最优的上限解。通过与同样引入Power-Law非线性破坏准则后的朗肯土压力理论解的比较，发现所述的方法切实有效，并且适用范围更加广泛。
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| 关 键 词： | 主动土压力 Power-Law非线性破坏准则 上限分析 大型数学规划 非线性朗肯土压力 |
| 收稿时间： | 2007-06-05 |
Upper bound solution for active earth pressure based on a nonlinear failure criterion |
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| YANG Jian-min.Upper bound solution for active earth pressure based on a nonlinear failure criterion[J].Rock and Soil Mechanics,2009,30(2):503-508. |
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| Authors: | YANG Jian-min |
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| Institution: | Sshool of Civil Engineering , Hunan City University,Yiyang 413000, China |
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| Abstract: | An upper bound solution for active earth pressure based on a nonlinear failure criterion is described mainly. Firstly, the power-law nonlinear failure criterion is proposed. Then the variables and are introduced by tangents method; and a unified acceptable velocity field is established. By upper bound analysis, the expression of the active earth pressure is formulated. Because of too many variables in the expression of the earth active pressure, in order to optimize the upper bound solution, large-scale mathematical programming method is applied, in which the widely used SQP algorithm is adopted. Calculating the active earth pressure using the method presented is found to be more efficient; and had a larger range of application comparing with the classical Rankine’s earth pressure theory. |
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| Keywords: | active earth pressure power-law nonlinear failure criterion upper bound analysis large-scale mathematical programming Rankine’s earth pressure with a nonlinear failure criterion |
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