Research Article | | Peer-Reviewed

Correlation Between the Factors of Safety from Slide 2D and Plaxis 2D Software

Received: 1 October 2025     Accepted: 16 October 2025     Published: 31 October 2025
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Abstract

This study conducted a rigorous comparative analysis of the Slide 2D (based on the Limit Equilibrium Method, LEM) and Plaxis 2D (based on the Finite Element Method, FEM) software packages to evaluate slope stability and validate methodological consistency in geotechnical engineering. The main objective was to determine whether a correlation exists between the Safety Factors (FS) calculated by these two tools, which possess distinct theoretical foundations. A series of typical slope cases, varying in geometry and soil properties, was modeled in both software environments. Statistical analysis revealed a remarkably significant correlation, with a coefficient of approximately 0.999, between the Safety Factors provided by the two tools. This strong relationship allowed for the establishment of a simple linear conversion equation that can be used to estimate the FS from Plaxis 2D based on the value obtained from Slide 2D. This equation confirms that, despite their fundamental differences, both tools yield comparable and reliable stability assessments under standard conditions. In conclusion, the ability to translate and validate results from one software to the other offers engineers and researchers greater confidence in the use and verification of landslide risk assessment results. Nevertheless, the crucial recommendation remains: it is imperative to choose the appropriate tool based on the intrinsic complexity of the geotechnical problem (presence of excessive deformations, staged construction analysis) and the specific parameters requiring modeling, with the FEM remaining the preferred option for the most complex or non-linear analyses.

Published in International Journal of Materials Science and Applications (Volume 14, Issue 5)
DOI 10.11648/j.ijmsa.20251405.16
Page(s) 239-251
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Correlation, Slope Stability, Factor of Safety, Plaxis 2D, Slide 2D

1. Introduction
Landslides constitute one of the most formidable and destructive natural disasters globally. Their consequences are often dramatic, resulting in a considerable number of annual human losses and significant material damage affecting infrastructure and homes. These mass movements, which primarily occur on slopes or embankments, result from a complex interaction of factors. They can be natural in origin, including the geological and geomechanical properties of the terrain, the slope morphology, the intensity of precipitation, and the hydraulic action of water on the soil . Simultaneously, anthropogenic activities, such as excavations, embankments, surcharges, or modifications to hydrological regimes, also contribute significantly to slope instability .
Facing the increasing scale of these risks, exacerbated by climate change and the urbanization of risk-prone areas, the geotechnical community has been committed for several decades to a process of deepening the understanding and prediction of these phenomena. A fundamental objective of this process is the precise determination of the Factor of Safety (Fs), a crucial indicator used to assess the degree of slope stability . Historically, this evaluation relied on manual or graphical methods, but the advent of computing has revolutionized analytical capabilities. Numerous numerical modeling software packages have thus emerged, offering powerful tools to simulate the behavior of soil masses and calculate their stability.
Among the most widely used and recognized tools in the field, Plaxis 2D is a Finite Element Method (FEM) program developed since 1983, renowned for its analysis of soil deformation and stability, and particularly suited for complex modeling and soil-structure interactions . Concurrently, software based on the Limit Equilibrium Methods (LEM), such as Slide 2D by Rocscience, and other integrated solutions like GeoStudio (which includes modules such as SLOPE/W for limit equilibrium), have become benchmarks for their simple interface and efficiency in slope stability analyses . Each of these software packages relies on distinct theoretical assumptions and calculation algorithms, potentially influencing the results obtained.
This plurality of modeling tools raises a fundamental question for practitioners: Do these software packages, despite their different theoretical bases (Finite Element vs. Limit Equilibrium), apprehend and model the landslide phenomenon equivalently? Are the Factors of Safety they provide directly comparable, or do they present significant divergences depending on the geometric configurations and soil properties? Although various comparative studies have been conducted in the scientific literature to evaluate the performance of different slope stability software or different calculation methods , a systematic and in-depth analysis focused specifically on the correlation of Factors of Safety between Slide 2D and Plaxis 2D for typical cases remains essential.
It is precisely within this context that the present article is positioned. It proposes to perform a rigorous comparative analysis of the models and results obtained by Slide 2D and Plaxis 2D for a series of typical slope stability cases. The ultimate objective is to establish, if possible, the link and correlation that might exist between the Factors of Safety calculated by these two software packages. This approach aims to provide users with valuable information for a more informed and reliable application of these tools in their geotechnical studies, thereby contributing to a better risk assessment and the design of more robust stabilization solutions.
2. Materials and Methods
The procedure adopted for conducting this work is presented as follows:
2.1. Selection of Case Studies
To ensure the representativeness and generalizability of the conclusions, twelve (12) case studies were examined. Among these twelve cases, six (06) concern slopes with a homogeneous layer, specifically composed of silty sand. The other six (06) cases concern slopes with heterogeneous layers composed of two types of rock: argillite in the upper part and marl in the lower part.
For each case, a precise geometry (length and slope angle) is defined.
2.2. Geotechnical Properties of Materials
2.2.1. Case of Slopes with a Homogeneous Layer
Table 1. Geotechnical properties of the homogeneous soil.

Property

Unit

Soil

Material Model

Mohr-Coulomb

Drainage condition

Drained

Unit weight (Unsaturated)

kN/m3

18

Unit weight (Saturated)

kN/m3

20

Young's Modulus

kN/m2

3

Poisson's Ratio

0

Cohesion

kN/m2 ou Kpa

5

Angle of internal friction

°

30

Dilation angle

°

0

2.2.2. Case of Slopes with Heterogeneous Layers
Table 2. Geotechnical properties of the heterogeneous soil.

Property

Unit

Soil 1 (Upper layer)

Soil 2 (Lower layer)

Material Model

Mohr-Coulomb

Mohr-Coulomb

Drainage condition

Drained

Drained

Unit weight (Unsaturated)

kN/m3

16.7

17.2

Unit weight (Saturated)

kN/m3

18.55

18.42

Young's Modulus

kN/m2

21000

21000

Poisson's Ratio

0.4

0.42

Cohesion

kN/m2 ou Kpa

37

37

Angle of internal friction

Degré

12

12

Dilation angle

Degré

0

0

2.3. Software Modeling
Each case study was modeled independently in Slide 2D and Plaxis 2D.
2.3.1. Modeling with Slide 2D Version 6.0
For each case study, modeling with Slide 2D was performed by first defining the slope geometry. Subsequently, the properties were assigned to the different materials present in the slope. Finally, a stability analysis was executed to determine the slope's Factor of Safety (Fs). The Fs was determined for each Limit Equilibrium Method (LEM), specifically the Simplified Bishop, Simplified Janbu, and Fellenius methods.
2.3.2. Modeling with Plaxis 2D Version 8.2
For each case study, modeling with Plaxis 2D initially involved precisely defining the slope geometry, including the different soil layers and existing structures. Next, the geotechnical parameters of each material (such as Young's Modulus, cohesion c, and friction angle ϕ) were assigned to the corresponding zones. After generating a Finite Element mesh, the stability analysis was performed using the Strength Reduction Method (SRM). This technique determines the Factor of Safety (Fs) by progressively reducing the shear strength parameters until failure is reached. The Fs is then calculated as the ratio of the available shear strength to the shear strength required to cause soil failure.
3. Results and Discussion
3.1. Homogeneous Slopes
Figure 1. Modeling of Case 1 with Slide 2D (A) and Plaxis 2D (B) for homogeneous soil slope.
Figure 2. Modeling of case 2 with Slide 2D (A) and Plaxis 2D (B) for homogeneous soil slope.
Figure 3. Modeling of case 3 with Slide 2D (A) and Plaxis 2D (B) for homogeneous soil slope.
Figure 4. Modeling of case 4 with Slide 2D (A) and Plaxis 2D (B) for homogeneous soil slope.
Figure 5. Modeling of case 5 with Slide 2D (A) and Plaxis 2D (B) for homogeneous soil slope.
Figure 6. Modeling of case 6 with Slide 2D (A) and Plaxis 2D (B) for homogeneous soil slope.
Figures 1, 2, 3, 4, 5, and 6 illustrate the various modeling approaches for homogeneous soil slopes with varying geometries, performed comparatively using the Slide 2D and Plaxis 2D software. As can be observed, the failure surfaces identified by each software for each case are sensibly identical; that is, these rupture surfaces are located almost at the same positions. These results lead to the conclusion that these two software packages, even while employing different approaches for calculating the factor of safety, analyze the critical failure surfaces in the same manner. This was also highlighted by Yu et al. , who showed that the critical failure surfaces determined by the Finite Element Method are very close to those determined by the Limit Equilibrium Method.
Table 3. Factors of safety for different Homogeneous soil slope cases.

Case series

Slope (°)

Slope length (m)

Factor of Safety with Slide 2D

Factor of Safety with Plaxis 2D

Simplified Bishop

Simplified Janbu

Felenius

Case 1

36.06

33.70

1.151

1.108

1.113

1.143

Case 2

10

90

0.488

0.498

0.496

0.259

Case 3

82.46

14

2.696

2.586

2.593

2.651

Case 4

44.2

63.40

0.489

0.460

0.461

0.320

Case 5

50

36.90

0.985

0.951

0.953

0.918

Case 6

85.44

20.60

1.805

1.739

1.743

1.734

Table 3 above reports the factors of safety (Fs) for the different homogeneous soil slope cases analyzed using the Slide 2D and Plaxis 2D software. It is observed that, regardless of the software used, certain cases exhibit unstable slopes due to their Factors of Safety being less than 1.0. This notably includes Cases 2, 4, and 5. Conversely, Cases 1, 3, and 6 present stable slopes given that their Fs values are greater than 1.0. Furthermore, the Factors of Safety calculated with Slide 2D are, for the majority of cases, higher than those obtained with Plaxis 2D. This observation was also made by Kempena et al. .
The Table 4 below presents the absolute differences between the Factors of Safety (Fs) from Slide 2D and Plaxis 2D. It is noted that these differences are small for the majority of cases, with an average of 0.098 using the Simplified Bishop method, 0.086 with the Simplified Janbu method, and 0.085 with the Fellenius method. These results suggest that the two software packages, Slide 2D and Plaxis 2D, can be used to evaluate slope stability with good accuracy. However, these discrepancies between the Factors of Safety can be attributed to inherent differences in the calculation methods, namely the Limit Equilibrium Method (LEM) utilized by Slide 2D and the Finite Element Method (FEM) utilized by Plaxis 2D.
Table 4. Absolute differences between factors of Safety from Slide 2D and Plaxis 2D: Homogeneous Slopes.

Case series

Absolute difference between Fs (Bishop) and Fs (Plaxis)

Absolute difference between Fs (Jandu) and Fs (Plaxis)

Absolute difference between Fs (Fellenius) and Fs (Plaxis)

Case 1

0.008

0.035

0.030

Case 2

0.229

0.239

0.237

Case 3

0.045

0.065

0.058

Case 4

0.169

0.140

0.141

Case 5

0.067

0.033

0.035

Case 6

0.075

0.005

0.009

Table 5. Correlation coefficient, Relationship and Coefficient of determination between factors of safety from Slide 2D and Plaxis 2D: Homogeneous Slopes.

Correlation coefficient

Relationship

Coefficient of determination

Simplified Bishop - Plaxis

0.999

Y=1.06X - 0.177

0.995

Simplified Janbu - Plaxis

0.999

Y=1.11X - 0.189

0.993

Fellenius - Plaxis

0.999

Y=1.12X - 0.188

0.994

Table 5 reports the values for the correlation coefficient, the coefficient of determination and the linear relationship between the Factors of Safety (Fs) calculated by the two software packages. It emerges that the correlation coefficients between the Fs values from Slide 2D and Plaxis 2D are all equal to 0.999. These positive values imply that as the Fs from Slide 2D increases, the Fs from Plaxis 2D also increases, and vice versa. Being extremely close to 1.0, they indicate a very strong linear relationship between the two software results. This relationship is described by the mathematical equations mentioned in Table 5, where X represents the Factor of Safety from Slide 2D and Y represents the Factor of Safety from Plaxis 2D. These equations follow a first-degree polynomial law, as illustrated in Figure 7 below.
Figure 7. Evolution of the Safety Factor from Plaxis 2D with that of simplified Bishop (A), simplified Janbu (B) and Fellenius (C) for slopes in homogeneous soil.
Furthermore, among the methods used by Slide 2D to determine the Factor of Safety, the Simplified Bishop method correlates best with the Plaxis 2D result, as its coefficient of determination is the highest at 0.995.
3.2. Heteregeneous Slopes
Figure 8. Modeling of case 7 with Slide 2D (A) and Plaxis 2D (A) for hetergeneous soils slopes.
Figure 9. Modeling of case 8 with Slide 2D (A) and Plaxis 2D (B) for hetergeneous soils slopes.
Figure 10. Modeling of case 9 with Slide 2D (A) and Plaxis 2D (B) for hetergeneous soils slopes.
Figure 11. Modeling of case 10 with Slide 2D (A) and Plaxis 2D (B) for hetergeneous soils slopes.
Figure 12. Modeling of case 11 with Slide 2D (A) and Plaxis 2D (B) for hetergeneous soils slopes.
Figure 13. Modeling of case 12 with Slide 2D (A) and Plaxis 2D (B) for hetergeneous soils slopes.
Figures 8 to 13 above illustrate different modeling approaches for heterogeneous soil slopes with varying geometries, performed comparatively using the Slide 2D and Plaxis 2D software. It is observed that the location of the failure surfaces is almost identical for all six (06) cases studied. These results lead to the conclusion that these two software packages, although employing different approaches for calculating the factor of safety—the Limit Equilibrium Method (LEM) for Slide 2D and the Finite Element Method (FEM) for Plaxis 2D—analyze the critical failure surfaces in the same manner. This finding aligns with scientific literature, particularly the work of A. Khalkhali et al. , who emphasized that the rupture zones localized in the PLAXIS model that have entered the plastic phase show considerable proportionality with the probable wedge of the slip surface obtained by the Radius & Grid technique used in the SLOPE/W software.
Table 6. Factors of Safety for different heterogeneous soil slope cases.

Cas series

Slope (°)

Slope length (m)

Factor of Safety with Slide 6.0

Factor of Safety with Plaxis 2D

Simplified Bishop

Simplified Janbu

Felenius

Case 7

53.1

50

0.639

0.629

0.627

0.604

Case 8

90

50

0.334

0.371

0.356

0.077

Case 9

33.7

72.11

0.885

0.821

0.840

0.856

Case 10

14

82.46

2.074

1.868

1.939

2.055

Case 11

39.8

39.05

1.027

0.978

0.987

0.993

Case 12

45

28.28

1.093

1.069

1.071

1.054

Table 6 above reports the Factors of Safety (Fs) for the different heterogeneous soil slope cases calculated using the Slide 2D and Plaxis 2D software. The results obtained show that, regardless of the software, Cases 1, 2, 3, and 5 exhibit unstable slopes because their Factors of Safety are systematically below 1.0. Conversely, Cases 4 and 6 present stable slopes given that their Fs values are greater than 1.0. These conclusions are consistent with the findings of Hammouri et al. , who demonstrated that, although based on different principles, the Finite Element Method (FEM) and Limit Equilibrium Method (LEM) can produce coherent results for slope stability analysis, especially when the soil parameters and slope geometry are well defined.
Table 7. Absolute differences between Factors of Safety from Slide 2D and Plaxis 2D in heterogeneous slope cases.

Case series

Absolute difference between Fs (Bishop) and Fs (Plaxis)

Absolute difference between Fs (Janbu) and Fs (Plaxis)

Absolute difference between Fs (Fellenius) and Fs (Plaxis)

Case 7

0.035

0.025

0.023

Case 8

0.257

0.294

0.279

Case 9

0.029

0.035

0.016

Case 10

0.019

0.187

0.116

Case 11

0.034

0.015

0.006

Case 12

0.039

0.015

0.017

The analysis of the discrepancies between the Factors of Safety (Fs) calculated by Slide 2D and Plaxis 2D, as documented in Table 7 above, reveals encouraging results. These discrepancies, while present, remain small, with average absolute differences of 0.098 for the Simplified Bishop method, 0.086 for the Simplified Janbu method, and 0.085 for the Fellenius method. These results suggest that both software packages can be used to evaluate slope stability with good accuracy. The differences observed in the Factors of Safety are attributable to the distinct theoretical foundations of the software, namely the Limit Equilibrium Method (LEM) used by Slide 2D and the Finite Element Method (FEM) used by Plaxis 2D.
Table 8. Correlation Coefficient, Relationship, and Coefficient of Determination Between Factors of Safety from Slide 2D and Plaxis 2D: Heterogeneous Slopes.

Correlation coefficient

Relationship

Coefficient of determination

Simplified Bishop -Plaxis

0.994

Y= 1.095X - 0.164

0.987

Simplified Janbu -Plaxis

0.993

Y=1.263X - 0.267

0.985

Fellenius-Plaxis

0.993

Y=1.97X - 0.221

0.986

The results presented in Table 8 demonstrate a strong correlation between the Factors of Safety (Fs) calculated by the Slide 2D and Plaxis 2D software, with a correlation coefficient of 0.994 between the Simplified Bishop method and Plaxis. This value, being very close to 1.0, indicates a near-perfect linear relationship: an increase in the Factor of Safety from Slide 2D is accompanied by an increase in Plaxis 2D, and vice versa. This relationship is described by first-degree polynomial equations (linear equations), as illustrated in Figure 14. Furthermore, the Simplified Bishop method in Slide 2D shows an optimal correlation with the Plaxis 2D results, as evidenced by its coefficient of determination of 0.987, which is the highest among all the compared methods.
Figure 14. Evolution of the Safety Factor from Plaxis 2D with that of simplified Bishop (A), simplified Janbu (B) and Fellenius (C) for slopes in heterogeneous soils.
4. Conclusion
The main objective of this study was to establish the existence of a correlation between the Factors of Safety (Fs) calculated by the Slide 2D and Plaxis 2D software packages. To achieve this, a rigorous comparative analysis was conducted on a series of typical cases, including both homogeneous and heterogeneous soil slopes, relying on the Limit Equilibrium Method (LEM) for the former and the Finite Element Method (FEM) for the latter. The following key findings emerged:
1) The critical failure surfaces located in Plaxis 2D were found to be nearly identical to those determined by Slide 2D.
2) An exceptionally strong correlation was established, with a correlation coefficient (R) reaching 0.999 for homogeneous cases. This discovery is crucial, as it confirms that, despite their distinct theoretical foundations, these two numerical approaches lead to slope stability assessments that are not only comparable but also highly consistent.
3) A major contribution of this research is the establishment of a linear equation that allows the Factor of Safety from Plaxis 2D to be estimated based on the value obtained with Slide 2D. This conversion capability reinforces the confidence of engineers and researchers in using these tools, as it validates their respective results.
4) The Simplified Bishop method used in Slide 2D proved to be the most highly correlated with the results from Plaxis 2D.
Ultimately, the study demonstrates that Limit Equilibrium Methods, such as those used by Slide 2D, can serve as a reliable tool for initial estimations, with the assurance that the results are in agreement with the more complex Finite Element analyses. However, the final choice of the tool must remain guided by the complexity of the geotechnical problem and the specific parameters requiring modeling.
Abbreviations

FS

Factor of Security

FEM

Finite Element Method

LEM

Limit Equilibrium Methods

Conflicts of Interest
The authors declare no conflicts of interest.
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Cite This Article
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    Elenga, B. D. B., Loubouth, S. J. M., Kempena, A., Dzaba-Dzoualou, S., Ahouet, L. (2025). Correlation Between the Factors of Safety from Slide 2D and Plaxis 2D Software. International Journal of Materials Science and Applications, 14(5), 239-251. https://doi.org/10.11648/j.ijmsa.20251405.16

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    Elenga, B. D. B.; Loubouth, S. J. M.; Kempena, A.; Dzaba-Dzoualou, S.; Ahouet, L. Correlation Between the Factors of Safety from Slide 2D and Plaxis 2D Software. Int. J. Mater. Sci. Appl. 2025, 14(5), 239-251. doi: 10.11648/j.ijmsa.20251405.16

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    Elenga BDB, Loubouth SJM, Kempena A, Dzaba-Dzoualou S, Ahouet L. Correlation Between the Factors of Safety from Slide 2D and Plaxis 2D Software. Int J Mater Sci Appl. 2025;14(5):239-251. doi: 10.11648/j.ijmsa.20251405.16

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  • @article{10.11648/j.ijmsa.20251405.16,
      author = {Brige Dublin Boussa Elenga and Severin Jean Maixent Loubouth and Adolphe Kempena and Sorel Dzaba-Dzoualou and Louis Ahouet},
      title = {Correlation Between the Factors of Safety from Slide 2D and Plaxis 2D Software
    },
      journal = {International Journal of Materials Science and Applications},
      volume = {14},
      number = {5},
      pages = {239-251},
      doi = {10.11648/j.ijmsa.20251405.16},
      url = {https://doi.org/10.11648/j.ijmsa.20251405.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20251405.16},
      abstract = {This study conducted a rigorous comparative analysis of the Slide 2D (based on the Limit Equilibrium Method, LEM) and Plaxis 2D (based on the Finite Element Method, FEM) software packages to evaluate slope stability and validate methodological consistency in geotechnical engineering. The main objective was to determine whether a correlation exists between the Safety Factors (FS) calculated by these two tools, which possess distinct theoretical foundations. A series of typical slope cases, varying in geometry and soil properties, was modeled in both software environments. Statistical analysis revealed a remarkably significant correlation, with a coefficient of approximately 0.999, between the Safety Factors provided by the two tools. This strong relationship allowed for the establishment of a simple linear conversion equation that can be used to estimate the FS from Plaxis 2D based on the value obtained from Slide 2D. This equation confirms that, despite their fundamental differences, both tools yield comparable and reliable stability assessments under standard conditions. In conclusion, the ability to translate and validate results from one software to the other offers engineers and researchers greater confidence in the use and verification of landslide risk assessment results. Nevertheless, the crucial recommendation remains: it is imperative to choose the appropriate tool based on the intrinsic complexity of the geotechnical problem (presence of excessive deformations, staged construction analysis) and the specific parameters requiring modeling, with the FEM remaining the preferred option for the most complex or non-linear analyses.
    },
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - Correlation Between the Factors of Safety from Slide 2D and Plaxis 2D Software
    
    AU  - Brige Dublin Boussa Elenga
    AU  - Severin Jean Maixent Loubouth
    AU  - Adolphe Kempena
    AU  - Sorel Dzaba-Dzoualou
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    N1  - https://doi.org/10.11648/j.ijmsa.20251405.16
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    T2  - International Journal of Materials Science and Applications
    JF  - International Journal of Materials Science and Applications
    JO  - International Journal of Materials Science and Applications
    SP  - 239
    EP  - 251
    PB  - Science Publishing Group
    SN  - 2327-2643
    UR  - https://doi.org/10.11648/j.ijmsa.20251405.16
    AB  - This study conducted a rigorous comparative analysis of the Slide 2D (based on the Limit Equilibrium Method, LEM) and Plaxis 2D (based on the Finite Element Method, FEM) software packages to evaluate slope stability and validate methodological consistency in geotechnical engineering. The main objective was to determine whether a correlation exists between the Safety Factors (FS) calculated by these two tools, which possess distinct theoretical foundations. A series of typical slope cases, varying in geometry and soil properties, was modeled in both software environments. Statistical analysis revealed a remarkably significant correlation, with a coefficient of approximately 0.999, between the Safety Factors provided by the two tools. This strong relationship allowed for the establishment of a simple linear conversion equation that can be used to estimate the FS from Plaxis 2D based on the value obtained from Slide 2D. This equation confirms that, despite their fundamental differences, both tools yield comparable and reliable stability assessments under standard conditions. In conclusion, the ability to translate and validate results from one software to the other offers engineers and researchers greater confidence in the use and verification of landslide risk assessment results. Nevertheless, the crucial recommendation remains: it is imperative to choose the appropriate tool based on the intrinsic complexity of the geotechnical problem (presence of excessive deformations, staged construction analysis) and the specific parameters requiring modeling, with the FEM remaining the preferred option for the most complex or non-linear analyses.
    
    VL  - 14
    IS  - 5
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