地基极限荷载的广义极限平衡法  

Generalized limit equilibrium method of ultimate load on foundation

作　　者：黄传志[1] 

机构地区：[1]天津港湾工程研究所,天津300222

出　　处：《岩土工程学报》2007年第3期328-332,共5页Chinese Journal of Geotechnical Engineering

摘　　要：将屈服函数的极值条件作为土体极限分析的基本方程之一,与平衡方程、屈服条件一起构成了一个完备的极限平衡问题(荷载边界条件问题)。由速度场与滑动面族关系的速度方程,可以建立一种新的极限分析方法–广义极限平衡法。应用广义极限平衡法获得了地基极限荷载的近似计算公式。极限荷载的极值定理与计算结果证明:只要选取的滑动面(族)接近于真实的滑动面,所得的极限荷载近似值就接近于真解。The extreme conditions of a yield function, which was used as one of the fundamental equations for ultimate analysis of soil mass, together with the equilibrium equation and yield conditions, constituted a complete limit equilibrium problem （a problem of boundary conditions of a load）. The velocity field and the velocity equation of the slip surface family may be used to establish a new ultimate analysis method - Generalized Limit Equilibrium Method. An approximate formula for calculating the ultimate load on a foundation was derived by using the generalized limit equilibrium method. The extremum theorem of an ultimate load and the results of calculation proved that if the chosen slip surface （family） came near to the genuine slip surface, the obtained approximate value of an ultimate load was more close to the genuine solution.

关 键 词：极限荷载 虚功方程 滑动面 速度场 广义极限平衡法 

分 类 号：TU411[建筑科学—岩土工程]