 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| Q. He, L.Q. Li, Q. Yuan, and Y.H. Yang, "Implicit Difference Solution for Consolidation Behavior of Double-Layered Unsaturated Soil under Three Types of Boundary Conditions," Mech. Solids. 60 (8), 6888-6904 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6888-6904 |
| DOI |
10.1134/S0025654425604835 |
| Title |
Implicit Difference Solution for Consolidation Behavior of Double-Layered Unsaturated Soil under Three Types of Boundary Conditions |
| Author(s) |
Q. He (College of Environmental and Civil Engineering, Chengdu University of Technology, Chengdu, 610000 China;School of Architecture and Civil Engineering, Xihua University, Chengdu, 610039 China)
L.Q. Li (College of Environmental and Civil Engineering, Chengdu University of Technology, Chengdu, 610000 China, lilongqi2014@cdut.edu.cn)
Q. Yuan (School of Architecture and Civil Engineering, Xihua University, Chengdu, 610039 China)
Y.H. Yang (College of Environmental and Civil Engineering, Chengdu University of Technology, Chengdu, 610000 China) |
| Abstract |
Consolidation equations of unsaturated soil can achieve a closed-form solution when the
definite conditions (boundary and initial conditions) are given. The boundary conditions are also one
of the factors that affect the consolidation behavior of unsaturated soils. To accurately predict the consolidation behavior of double-layered unsaturated soils under three types of boundary conditions, this
paper proposes an efficient and stable implicit difference method. The proposed solution is based on
the implicit difference method and virtual grid method to discretize the consolidation equation and
boundary conditions, respectively. The stability of the numerical solutions is proved using the von
Neumann criterion. Furthermore, the accuracy of the difference method is validated by comparing
the results of the numerical solutions and analytical solutions. According to the validated numerical
solutions, the consolidation behavior of double-layer unsaturated soil under five representative
boundary conditions has been explored. The results show that the boundary conditions will significantly affect the dissipation rate of excess pore pressures and further change the ground settlement. |
| Keywords |
implicit difference solution, stability, virtual grid method, boundary condition, unsaturated soil |
| Received |
05 September 2025 | Revised |
16 November 2025 | Accepted |
22 November 2025 |
| Link to Fulltext |
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