 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
|
| In English (Mech. Solids): | | 5065 |
|
| << Previous article | Volume 60, Issue 3 / 2025 | Next article >> |
| Q. He, Q. Yuan, L. Lang, T. Wu, and Y.L. Pan, "A Simple Analytical Solution for One-Dimensional Consolidation of Unsaturated Soil under Local Surcharge Load," Mech. Solids. 60 (3), 2180-2200 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2180-2200 |
| DOI |
10.1134/S0025654425600400 |
| Title |
A Simple Analytical Solution for One-Dimensional Consolidation of Unsaturated Soil under Local Surcharge Load |
| Author(s) |
Q. He (School of Architectural and Civil Engineering, Xihua University, Chengdu, 610039 China)
Q. Yuan (School of Architectural and Civil Engineering, Xihua University, Chengdu, 610039 China; Innovation Research Center of Material and Structural Dynamics, Xihua University, Chengdu, 610039 China, yuanqxh@163.com)
L. Lang (School of Architectural and Civil Engineering, Xihua University, Chengdu, 610039 China; Innovation Research Center of Material and Structural Dynamics, Xihua University, Chengdu, 610039 China)
T. Wu (School of Architectural and Civil Engineering, Xihua University, Chengdu, 610039 China;I nnovation Research Center of Material and Structural Dynamics, Xihua University, Chengdu, 610039 China)
Y.L. Pan (Chengdu City Construction Investment and Management Group Co., Ltd., Chengdu, 610037 China) |
| Abstract |
This paper presents an exact analytical solution of one-dimensional consolidation for
unsaturated soils under the local surcharge load using the mode superposition method. Based on the
solution to Boussinesq’s problem, the distribution of total normal stress is considered in the consolidation equations. Then, the excess pore-air and pore-water pressures are expressed in a series of products of eigenfunctions concerning depth and normal coordinates concerning time, respectively. After
matrix algebraic manipulation, the normal coordinates can be determined by the initial conditions and
the loading function, and the final solutions for the unsaturated consolidation are obtained. This solution can avoid inconvenient Laplace transform and inverse Laplace transform and can be degenerated
to the existing formulation. Through calculating two classic examples, the validations of the proposed
analytical solution are verified against other analytical solutions and the developed finite difference
solution. According to the proposed solutions, the consolidation behaviors involving three loading
patterns and two loading histories are graphically demonstrated and discussed. |
| Keywords |
unsaturated consolidation, local surcharge load, loading pattern, mode superposition method, matrix algebraic manipulation |
| Received |
24 January 2025 | Revised |
21 April 2025 | Accepted |
23 April 2025 |
| Link to Fulltext |
|
| << Previous article | Volume 60, Issue 3 / 2025 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English