基于极限分析的圆形浅基础地基承载力上限解

Upper bound solution for bearing capacity of circular shallow foundation based on limit analysis

地基承载力问题是岩土工程领域最重要的研究课题之一。针对圆形浅基础地基,从空间问题着手,根据极限分析上限分析理论,选择合适的地基破坏模式及机动位移速度场,首次考虑了单元土体所受的侧向土压力对地基极限承载力的影响,同时考虑到土体自重及地面超载等因素的作用,推导出理论上更为合理的三维圆形浅基础地基极限承载力上限解。结合工程实例,用相应Matlab计算程序计算出上限解,并与实测值进行了对比,证明了其方法的合理性与实用性。

Foundation bearing capacity is one of the most important research topics in the field of geotechnical engineering. Focusing on circular shallow foundation, and starting from spatial problem, and according to the theory of limit analysis, a more reasonable upper bound solution for the ultimate bearing capacity of the three-dimensional circular shallow foundation is presented theoretically. This thesis chooses a suitable foundation failure mode and motor displacement velocity field, and firstly considers the influence of the lateral soil pressure on the limit bearing capacity of circular shallow foundation and the effects of soil weight under the base of the foundation and surcharge load. Combined with the project, the upper bound solutions are calculated using corresponding Matlab program and compared with the serve value in other techniques. The upper bound solution is proved to be more rational and practical.