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Analytical Solution for One-dimensional Nonlinear Consolidation of Double-layered Soil Based on Continuous Drainage Boundary
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    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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  • Online: March 23,2021
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