论文部分内容阅读
以往采用半解析法及有限差分法计算结构性土一维非线性固结时,常需建立分段描述的控制方程,这给问题的表述及求解带来不便。该文以e、σ′为双状态变量进行推导,得到形式上统一的非线性固结方程。通过将互补算法嵌入到上述方程的差分求解过程,解决了地基土体结构性破坏界面难确定的问题。互补算法首先寻求分段线性e-lgσ′压缩曲线中的互补条件,并以此构造互补方程组,然后利用互补算法进行求解,进而可得各增量时间步差分进程中e-σ′关系所处阶段。该法的合理性通过与传统单变量差分解及解析解进行对比得到验证,并得到:双变量非线性固结控制方程形式上统一、推导过程较单变量法简单,且适用于任意的压缩模型;通过对压缩曲线中控制变量求解,可判断结构性软土地基所处的压缩状态;基于互补算法的差分解具有较高的计算精度,且求解效率优于一般迭代法。
In the past, when the semi-analytical method and the finite difference method were used to calculate the one-dimensional nonlinear consolidation of structural soil, the governing equation of the sub-section description was often required, which caused inconvenience to the formulation and solution of the problem. In this paper, e and σ ’are derived as two-state variables, and a formally unified nonlinear consolidation equation is obtained. By embedding the complementary algorithm into the differential solving process of the above equation, the problem that the structural failure interface of soils in foundation is difficult to be determined is solved. The complementary algorithm first looks for the complementary conditions in the piecewise linear e-lgσ ’compression curve and constructs a complementary set of equations and then uses the complementary algorithm to solve it. Then the e-σ’ At the stage. The rationality of this method is verified by comparison with the traditional univariate differential solution and analytical solution. The results show that the bivariate nonlinear consolidation control equation is formally unified, the derivation process is simpler than the single variable method, and it is suitable for any compression model ; By solving the control variables in the compression curve, the compression state of the structural soft soil foundation can be judged; the differential solution based on the complementary algorithm has higher calculation accuracy and the solving efficiency is better than the general iterative method.