Comparative Analysis of Finite Element and Discrete Element Methods for the Deformation and Failure of Embankment Slope
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Direct Shear Test
2.3. Finite Element Method
2.4. Discrete Element Method
2.5. Boundary Conditions of Loading and Seepage
3. Results
3.1. Direct Shear Test Results Under Different Water Contents
3.2. Seepage Field Variation in Embankment Slopes
3.3. Deformation Field Variation in Embankment Slopes
4. Discussion
4.1. Deformation Differences Between Two Methods
4.2. Field Case Study
4.3. Limitations of This Work
5. Conclusions
- (1)
- Rainfall infiltration leads to progressive expansion of the internal saturated zone of the embankment slope. With prolonged rainfall, the saturation zone spreads from the surface downward toward the slope toe. FEM and DEM produce consistent predictions of seepage evolution, with maximum infiltration depths of about 3.5 m and 3.8 m, respectively, suggesting that both approaches adequately represent soil seepage behavior under rainfall conditions.
- (2)
- Regarding deformation response, DEM effectively reproduces the full sequence of slope failure progress under rainfall, from crest deformation to sliding band penetration and eventual overall collapse. Crest deformation reaches 1.4 m in the DEM simulation after the rainfall, indicating clear slope failure. In contrast, FEM predicts relatively slow deformation, with a maximum crest displacement of only 0.075 m over the same period, indicating that the embankment remains stable.
- (3)
- By comparing the FEM and DEM results with field survey data and site photographs, it is evident that DEM best replicates the observed failure patterns, including crack initiation, soil detachment, and progressive landslide development. In contrast, traditional FEM fails to capture the complex failure process of GRS embankments. Thus, DEM is clearly the most appropriate approach for analyzing the instability mechanisms of GRS slopes.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Bulk Density (kN·m−3) | Cohesion (kPa) | Internal Friction Angle (°) | Elastic Modulus (Mpa) | Poisson’s Ratio | Permeability Coefficient (m/d) | |
|---|---|---|---|---|---|---|
| Embankment fill | 18 | 20 | 20 | 100 | 0.25 | 0.43 |
| Natural slope | 20 | 25 | 25 | 60 | 0.32 | 0.38 |
| Water Content/% | Friction Coefficient | Normal Bond Strength/N | Tangential Bond Strength/N | |
|---|---|---|---|---|
| Natural slope | 16.3% | 0.73 | 5.6 × 104 | 5.76 × 104 |
| 20% | 0.68 | 4.8 × 104 | 5.0 × 104 | |
| 25% | 0.62 | 4.0 × 104 | 4.22 × 104 | |
| 30% | 0.55 | 3.5 × 104 | 3.6 × 104 | |
| Embankment fill | 16.3% | 0.5 | 3.3 × 104 | 3.4 × 104 |
| 20% | 0.46 | 3.0 × 104 | 3.1 × 104 | |
| 25% | 0.4 | 2.5 × 104 | 2.7 × 104 | |
| 30% | 0.35 | 2 × 104 | 2.1 × 104 |
| Permeability Coefficient (m/s) | θs/% | θr/% | α | n | m |
|---|---|---|---|---|---|
| 5 × 10−6 | 42.11 | 5.38 | 0.01854 | 1.3862 | 0.2786 |
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Gong, J.; Li, Y.; Liu, Y.; Guo, Q.; Ding, H.; Li, L.; Huang, Y.; Chen, W. Comparative Analysis of Finite Element and Discrete Element Methods for the Deformation and Failure of Embankment Slope. Buildings 2025, 15, 4562. https://doi.org/10.3390/buildings15244562
Gong J, Li Y, Liu Y, Guo Q, Ding H, Li L, Huang Y, Chen W. Comparative Analysis of Finite Element and Discrete Element Methods for the Deformation and Failure of Embankment Slope. Buildings. 2025; 15(24):4562. https://doi.org/10.3390/buildings15244562
Chicago/Turabian StyleGong, Jian, Yongwei Li, Yangqing Liu, Qiaoming Guo, Haibin Ding, Lihua Li, Yu Huang, and Weiwei Chen. 2025. "Comparative Analysis of Finite Element and Discrete Element Methods for the Deformation and Failure of Embankment Slope" Buildings 15, no. 24: 4562. https://doi.org/10.3390/buildings15244562
APA StyleGong, J., Li, Y., Liu, Y., Guo, Q., Ding, H., Li, L., Huang, Y., & Chen, W. (2025). Comparative Analysis of Finite Element and Discrete Element Methods for the Deformation and Failure of Embankment Slope. Buildings, 15(24), 4562. https://doi.org/10.3390/buildings15244562
