Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition
Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition
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DOI：
10.1631/jzus.a1200167
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发表时间：
2013-01
期刊：
影响因子：
--
通讯作者：
Zhendong Shan;D. Ling;H. Ding
中科院分区：
文献类型：
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作者：
Zhendong Shan;D. Ling;H. Ding
基于非饱和土固结方程，推导了非均质混合边界条件下单层非饱和土一维固结问题的解析解。混合边界条件可用于特殊场合，如实验室试验。通过假设固结过程中所有的材料参数保持不变，得到了解析解。在推导解析解时，首先将非齐次边界条件转化为齐次边界条件。然后，根据固结方程和新的边界条件，推导了本征函数和本征值。最后，利用待定系数法和本征函数的正交关系，得到了新边界条件的解析解。本方法适用于各种类型的边界条件。通过数值算例分析了单层非饱和土在混合边界条件下的固结特性。
Based on consolidation equations proposed for unsaturated soil, an analytical solution for 1D consolidation of an unsaturated single-layer soil with nonhomogeneous mixed boundary condition is developed. The mixed boundary condition can be used for special applications, such as tests occur in laboratory. The analytical solution is obtained by assuming all material parameters remain constant during consolidation. In the derivation of the analytical solution, the nonhomogeneous boundary condition is first transformed into a homogeneous boundary condition. Then, the eigenfunction and eigenvalue are derived according to the consolidation equations and the new boundary condition. Finally, using the method of undetermined coefficients and the orthogonal relation of the eigenfunction, the analytical solution for the new boundary condition is obtained. The present method is applicable to various types of boundary conditions. Several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with mixed boundary condition.