广义剪切位移法分析桩－土－承台非线性共同作用原理

The Principle of the Generalized Shear Displacement Method for Analyzing the Nonlinear Interaction of Pile-Soil-Pilecap

本文将剪切位移法推广到分析在承台基底压力作用下桩周土的非线性变形原理，分别用桩侧土剪应力与剪应变关系的双曲线式和分段线性式导出其显式解；以解析公式的形式给出全量式与增量式的拟塑性剪切变形系数和受承台、邻桩及桩端阻力影响的拟弹塑性柔度矩阵，建立起分析桩－土－承台非线性共同作用的数值方法的基础。实例计算结果表明了该方法的合理性和有效性。

This paper presents the principle that the shear displacement method is extended to analysethe nonlinear shear displacement of soil around the pile under the pressure of foundation.And theclosed solutions of the nonlinear displacement are obtained with the stepwise linear and the hyperbolicmedel of shear stress-strain relations of soil respectively. The quasi-plastic shear displacement coeffi- cients and the quasi-elastic-plastic flexlbility matrix of the soil are given, which provide the basis ofnumerical methods for analyzing nonlinear interaction of pile-soil-foundation. The calculated results forsome typical cases show that the methods are reasonable and effective.