摘要
为确定作用在给定基础形状地基土上的极限承载力,对基底下的土体进行网格划分,先假定一矩形均布荷载作用在此地基土上,运用布氏解的积分公式,结合角点法,编制MATLAB语言程序,求出每个网格结点上的附加应力,进而求得每个网格结点上的主应力,根据破坏准则,由程序找出破坏点的坐标,利用MATLAB的图形处理功能,把破坏点的坐标在坐标图中显示出来。继续加大矩形均布荷载,直至这些破坏点在坐标图中刚好能够形成一个连续的破坏面,此时的矩形均布荷载即为该地基的极限承载力。此方法不仅可以有效地避免地基承载力经验公式中一些不合理的假设带来的误差,更符合实际情况,而且可以直观地了解到地基土的三维破坏面。
For finding the ultimate bearing capacity of a foundation with given size, we can solve this problem starting with dividing the foundation soil. Then suppose a uniform load act on the foundation, using calculus answer of Boussinesq＇ s formula and comer-points method to get extra stress of every mesh knots by MATLAB program, then, find the principal stress. Combining with failure criterion, use MATLAB program to find coordinate of points witch were destroyed. Using the graph processing function of MATLAB, we can found out the failure points in the coordinate. Enlarge the uniform load and find the failure point until these points can form a failure surface. This uniform load is the ultimate bearing capacity of the foundation. The method can avoid errors bring by unreasonable hypothesizes of the experience forums, and we can get the three-dimensional failure surface of the foundation soil.
出处
《水文地质工程地质》
CAS
CSCD
北大核心
2009年第2期52-56,共5页
Hydrogeology & Engineering Geology
基金
国家自然科学基金资助项目(50608038)
关键词
三维破坏面
极限承载力
矩形均布荷载
three-dimensional failure surface
ultimate bearing capacity
rectangle uniform load
