岩土工程学报2024，Vol.46Issue(12)：2629-2641,13.DOI:10.11779/CJGE20230949
投影方向极值原理的三维滑动面应力合矢量极限平衡抗滑稳定计算理论模型
Theoretical model for limit equilibrium anti-sliding stability of stress vectors on three-dimensional sliding surface based on projection direction extreme principle
孙建生1
作者信息
- 1. 太原理工大学水利科学与工程学院,山西 太原 030024
- 折叠
摘要
Abstract
According to the projection direction extreme principle,in which the unbalance characteristics of non-collinear forces formed by tangential stress vectors on the complex sliding surface are revealed and the sliding potential energy ratio of the unbalance stress vectors in the equilibrium direction has the maximum,and minimum potential energies in the dissipation direction,in view that the difference of the stress state of the joints on the three-dimensional sliding surface leads to slight difference between direction of the tangential sliding force and that of the anti-sliding force in the micro-element plane,a theoretical model for calculating the stability of a three-dimensional complex sliding surface against sliding in the plastic limit equilibrium is proposed in the direction of the projection-dissipation orthogonal extreme.The three-dimensional expansion for the theoretical model is completed,and the concrete calculation steps of the theoretical model are given.The reasonable reliability of the model is proved by the curve of the extreme value of potential energy ratio between tangential sliding force and anti-sliding force on the sliding surface of typical stability problems and the degree of agreement between the calculated extreme point and the model.The sensitivity of the change of the factors affecting the finite element stress field to the solution of the theoretical model is also discussed.The vector theoretical model is an innovative research on the basic mechanics theory of anti-slide stability,which is of important theoretical development and practical economic value.关键词
三维边坡/抗滑稳定/滑动势能/耗散势能/安全度Key words
three-dimensional slope/stability against sliding/sliding potential energy/dissipated potential energy/safety degree分类
建筑与水利引用本文复制引用
孙建生..投影方向极值原理的三维滑动面应力合矢量极限平衡抗滑稳定计算理论模型[J].岩土工程学报,2024,46(12):2629-2641,13.
