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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。
In this paper, the shear displacement method is generalized to analyze the nonlinear deformation principle of the soil around the pile under the pressure of the platform, and the explicit solution is derived by using the hyperbolic and piecewise linear equations of the relationship between shear stress and shear strain. The analytical formulae are used to give the full-type and incremental-type pseudo-plastic shear deformation coefficients and the pseudo-elasto-plastic flexibility matrix affected by the bearing platform, adjacent piles, and pile tip resistance. An analytical pile-soil-composite platform is established. The basis for the numerical method of nonlinear interactions. The example calculation results show that the method is reasonable and effective.