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用三维弹塑性模型分析桩端部土体的性状。首先,将半元限土体中的轴对称问题归结为求解双调和方程,运用Hankel变换可以给出圆型均布载荷作用下的解析解。而后,使用德鲁克—普拉格(Drucker-Prager)准则分析土介质塑性屈服的性状。本文在给出解析解的同时,用电子计算机计算了泊桑比v=1/4±介质中的位移场。二者比较,结果十分接近。在上述分析的基础上建立了“刚性圆锥”的力学模型,并给出了形成“刚性圆锥”的临界载荷与圆锥顶角对土性参数依赖关系的计算公式。
Using 3D Elasto-Plastic Model to Analyze the Character of Pile End Soil. Firstly, the problem of axial symmetry in the semi-unit-limited soil is attributed to the solution of the biharmonic equation. The Hankel transform can be used to give the analytical solution under the uniform load of the circular type. Then, Drucker-Prager criterion was used to analyze plastic yield behavior of soil media. In this paper, while the analytical solution is given, the displacement field in a Poisson’s ratio v=1/4± medium is calculated using a computer. Comparing the two, the results are very close. Based on the above analysis, the mechanical model of “rigid cone” is established, and the formula for the relationship between the critical load and the apex angle of the “rigid cone” on the parameter of the soil property is given.