双层地基一维非线性固结的DQM解

基于Davis和Raymond一维非线性固结理论，利用DQM (Differential Quadrature Method) 推导了初始有效应力沿深度变化、任意边界条件、任意荷载作用下双层地基一维非线性固结的表达式，求得了孔压、有效应力和平均固结度的解答。解的收敛性分析表明，当每层土采用7～9个插值点时，DQM解就可以达到足够精度。而对于无法得到解析解的复杂情况，DQM解具有统一的矩阵形式，有利于计算机程序的实现和求解，符合工程应用的要求。最后在算例分析中，对考虑初始有效应力沿深度变化、矩形波循环荷载下双层地基一维非线性固结进行了探讨。

Computation of 1-D nonlinear consolidation in double-layer foundation by using differential quadrature method

Based on the nonlinear consolidation theory proposed by Davis and Raymond, the differential quadrature method (DQM) is applied to analyze the 1-D nonlinear consolidation of double-layer soil foundation. The expression of consolidation considering the initial effective stress distribution, arbitrary boundary condition and arbitrary loading is deduced. The convergence analysis shows that the computational result obtained from DQM has enough accuracy when 7-9 interpolations in each layer are adopted. This method provides a uniform matrix structure of the solution, which is convenient to computation programming and engineering practice. By using this method the 1-D nonlinear consolidation behavior of double-layer foundation with varying initial effective stress along the depth under the action of rectangular wave cyclic load is also investigated.