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传统塑性力学理论在分析岩土体极限平衡时,采用相关联的流动法则(此时剪胀角与内摩擦角相等,即ψ=φ),而大量实验和工程实践表明相关联的流动法则与岩土材料的基本特性不符,过大估计了岩土体的剪胀角,从而引入了非关联的流动法则。本文采用非关联的流动法则,基于极限平衡法理论运用理论分析和有限元分析两种方法得到地基土极限平衡时承载力系数时的解答,并根据剪胀角的变化对地基极限承载力进行分析和比较,认为在采用非关联流动法则时,地基土极限承载力的有限元解要比采用关联流动法则时小。实例验算也证实了这一点。
The traditional theory of plastic mechanics uses the associated law of flow (when the dilatancy angle is equal to the internal friction angle, ie ψ = φ) when analyzing the limit equilibrium of rock mass. However, a large number of experiments and engineering practices show that the associated flow law The basic characteristics of geomaterials do not match. The dilatancy angle of rock and soil is overestimated, so the non-associated flow rule is introduced. In this paper, the non-associated flow rule is used to solve the bearing capacity coefficient of ultimate equilibrium of foundation soil based on the theory of limit equilibrium method and the theoretical analysis and finite element analysis. The ultimate bearing capacity of foundation is analyzed according to the change of dilatancy angle In the comparison with the law of correlation flow, the finite element solution of the ultimate bearing capacity of foundation soil is considered to be smaller than that of the associated flow rule when using the non-associated flow rule. Case study also confirmed this point.