土体滑裂面上正应力函数理论分析

发布时间：2018-01-20 16:56

本文关键词： 滑裂面正应力函数变分原理极限平衡非线性强度准则　出处：《水利学报》2015年S1期 　论文类型：期刊论文

【摘要】：在传统极限平衡法的基础之上,引入土体处于极限平衡状态时对应的真实应力场的概念。定义可能滑裂面,把土体对应的极限承载力仅抽象成可能滑裂面函数的泛函,并对可能滑裂面上土体进行应力分析和强度分析,利用极限平衡的思想,以变分理论为工具,寻求泛函取极小值的条件,得到土体内可能滑裂面上正应力的计算公式。通过整体平衡方程,结合搜索算法,亦可求得土体内滑裂面的形状以及极限承载力。本文所求的滑裂面正应力函数为精确解,适用于任意滑裂面以及非线性强度准则,对于真实的滑裂面,可求出极限承载力的精确解。本文得到的滑裂面正应力函数适用性很广,可以应用到地基承载力、土压力以及边坡稳定等会出现滑裂面的问题计算中。
[Abstract]:Based on the traditional limit equilibrium method, the concept of real stress field corresponding to the limit equilibrium state of soil is introduced, and the possible slip surface is defined. The corresponding ultimate bearing capacity of soil is only abstracted into a functional of the function of possible sliding surface, and the stress analysis and strength analysis of soil on the possible sliding surface are carried out. Using the idea of limit equilibrium, the variational theory is used as a tool. In order to obtain the condition of minimal value of functional, the formula for calculating the normal stress on the sliding surface of soil is obtained. The integral equilibrium equation is used and the search algorithm is used. The shape and ultimate bearing capacity of the slip surface in the soil can also be obtained. The normal stress function of the slip surface obtained in this paper is an exact solution, which is applicable to any sliding surface and the nonlinear strength criterion, and is suitable for the real sliding crack surface. The exact solution of ultimate bearing capacity can be obtained. The normal stress function obtained in this paper can be applied to the calculation of ground bearing capacity, earth pressure and slope stability.
【作者单位】：清华大学土木工程系;
【基金】：国家973课题(2014CB047004)
【分类号】：TU43
【正文快照】： 1研究背景在边坡稳定分析中,最常用的方法是极限平衡法,但由于其平衡方程中滑裂面上正应力函数未知,导致方程数少于未知量个数。极限平衡条分法通过假设条间力函数,求出滑裂面上的正应力,使该问题变为静定可解。不同的条分法就在于对条间力的假定不同,因而算出的结果也就有差

【共引文献】