The influence of intermediate stress in 3D analysis will influence the factor of safety of slope. The factor of safety of 3D based analysis is lower than the 2D based slope analysis. all the best in your research..
approach to rock - soil slope stability analysis is made of some ingredients:
- knowledge of geostructural pattern and /or of stratigraphic conditions and the site
- geometric scale of evaluation of the stability problem (scale effect)
- eventual leading structures that are addressing the effective sliding mode
- geometrical model that we want to assume
- presence of lateral corners and lateral confinement / lack of confinement
- capabilities to implement and to manage 3D formulas or solution
schemes
- kinematic sliding modes
- effect of surface forces in calculation as the contact area between model parts (namely sliding part and stable part) can change without an immediate perception of it.
So the difference arises from all the mentioned points (and also some others): the real conditions are always 3D but in many cases we can adopt easier approach by adopting 2D solutions: the important fact is not to force real conditions and to maintain always the sensitivity of the confidence level of the simplified 2D solution.
Just a couple of references among the several available in technical literature
Michalowski, R. L. (2010). “Limit analysis and stability charts for 3D slope failures.” J. Geotech. Geoenviron. Eng.10.1061/(ASCE)GT.1943-5606.0000251, 136(4), 583–593
Comparison and analysis of 2D and 3D slope stability analysis results November 2012 · Yantu Lixue/Rock and Soil Mechanics 33:150-154+161 K.-L. Lu · D.-Y. Zhu · Y. Yang