圆形基础极限分析下限解探讨

Discussion about lower-bound analytical solution of circular foundation bearing capacity using limit analysis method

下限分析中常用的应力柱是一种二维应力柱 ,本文提出三维应力柱概念以及圆形基础下限解的计算方法。根据应力叠加原理构造静力容许的应力场 ,求出不同应力柱数目下圆形基础的下限解。通过比较看出 ,本文计算结果与前人研究成果很接近 ,说明本文提出方法的有效性和正确性。

The objective of the research presented in this paper is to develop a computational method for limit analysis problems that involve the determination of lower-bound analytical solution of bearing capacity of circular foundation under external loads. In general, the lower-bound limit analysis is characterized by construction of two-dimensional stress field. However, the concept of three-dimensional stress leg is proposed to construct statically admissible stress fields according to the theory of stress field overlapping, and the lower-bound solutions of circular foundation are obtained under situations of different numbers of stress legs. The results is approximate to the previous achievements, which demonstrates the efficiency and correctness of computational method presented.