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连续排水边界下双层地基一维非线性固结解析解
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Analytical Solution for One-dimensional Nonlinear Consolidation of Double-layered Soil Based on Continuous Drainage Boundary
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    摘要:

    基于Davis和Raymond土体一维非线性固结的假设,通过引入连续排水边界条件研究了瞬时荷载下的双层地基一维非线性固结问题. 利用变量代换及分离变量法得到连续排水边界条件下双层地基一维非线性固结问题的解析解,通过退化为Xie双面排水解答验证了本文解析解的正确性. 基于所得解析解,对不同界面参数以及非线性参数对土体固结特性的影响进行了分析. 结果表明:连续排水边界条件下,按沉降定义的平均固结度解答(Us)始终大于按孔压定义的平均固结度解答(Up),且两者的差别随着非线性参数Nσ值的增大而增大. 连续排水边界条件下Us随Nσ值的增大而增大,而Up随Nσ值的增大而减小. 与Xie双面排水解答相比,连续排水边界下Nσ值对Up的影响较小. 此外,土层界面参数对土体固结有较大影响.

    Abstract:

    Based on the assumptions of one-dimensional nonlinear consolidation of soil proposed by Davis and Raymond, the one-dimensional nonlinear consolidation problem of double-layered soil under constant loading is investigated by introducing the continuous drainage boundary condition. The analytical solution for the one-dimensional nonlinear consolidation of doubled-layered soil is derived by means of variable substitution method and separation of variables method. The rationality of the present solution is also verified by comparing with Xie’s solution. Based on the present solution, the effect of different interface parameter and nonlinear parameter on consolidation behavior of soil is analyzed. The results show that, under the continuous drainage boundary condition, the solution of the average consolidation degree,Us,defined as the settlement,is always larger than that of the average consolidation degree, Up, defined as the pore pressure, and the difference between Us and Up increases with the increase of Nσ(the ratio of final effective pressure to initial effective pressure). In the continuous drainage boundary condition, the Us increases with the increase of Nσ, while the Up decreases with the increase of Nσ. Compared with the Xie’s solution, the influence of Nσ value on Up is smaller in the continuous drainage boundary. In addition, the soil interface parameters have a great influence on soil consolidation.

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杨晓燕,宗梦繁,吴文兵,梅国雄,蒋国盛?覮.连续排水边界下双层地基一维非线性固结解析解[J].湖南大学学报:自然科学版,2021,48(3):136~143

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  • 在线发布日期: 2021-03-23
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