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考虑土中指数形式渗流定律以及土体的非线性固结特性,以超静孔隙水压力为变量在拉格朗日坐标系内建立了软土一维大变形固结问题的控制方程及其求解条件,并运用有限差分法获取其数值解答。在指数形式渗流定律退化为达西定律下,通过将差分解与已有的半解析解进行对比,验证了数值计算的可靠性。最后对指数形式渗流定律下软土一维非线性大变形固结性状进行计算分析,结果表明:m 1时,软土的非线性大变形固结速率会随外载增大而减慢;m 1时,软土的非线性大变形固结速率会随着外荷载的增加而加快;软土非线性大变形固结速率要比非线性小变形固结速率快,且差别会随荷载增大而加剧;此外,大变形固结理论的最终沉降值要小于小变形固结理论,且差别会随着荷载的增大而加剧。
Taking into account the seepage flow law of soil index and the nonlinear consolidation characteristics of soil, a governing equation of one-dimensional large deformation and consolidation of soft soil and its solution are established in Lagrange coordinate system with excess pore water pressure as variables Conditions, and use the finite difference method to obtain its numerical solution. Under the condition that exponential flow laws degenerate into Darcy’s law, the reliability of numerical calculation is verified by comparing the difference solution with the existing semi-analytical solutions. Finally, the one-dimensional nonlinear large deformation and consolidation behavior of soft soil under the seepage flow of exponential form is calculated and analyzed. The results show that the nonlinear large deformation rate of soft soil decreases with the increase of external load at m 1; m 1, the nonlinear large deformation and consolidation rate of soft soil will accelerate with the increase of external load. The nonlinear large deformation and consolidation rate of soft soil is faster than the nonlinear small deformation and consolidation rate, and the difference will increase with the increase of load In addition, the final settlement value of the theory of large deformation consolidation is smaller than the theory of small deformation consolidation, and the difference will aggravate with the increase of load.