Try finite element method (it is actually not new).

I also have this confusion in the upcoming experimental study. Hope you find it, Thank you.

if you are concerned with the rock slope stability there is a very useful method to evaluate the stability and to design the the slope and to estimate the factor of safety it is depending on the chart based slope stability assessment using Generalized Hoek and Brown. which depends on the geological characteristics from the site.

find this paper in the following link

http://www.researchgate.net/profile/Jiayi_Shen/publication/258113745_Chart-based_slope_stability_assessment_using_the_Generalized_HoekBrown_criterion/links/0046352fda34e0fa45000000.pdf 

Article Chart-based slope stability assessment using the Generalized...

thank you so much for these interested replay 

Hi Jasim, new methods of determining slope stability problems abound. please check this link https://www.rocscience.com/library/pdf/SlopeStabilityUsingPhase2.pdf. I hope this document would be of help. Good luck and also http://www.uacg.bg/filebank/acadstaff/userfiles/publ_bg_626_19.pdf . Good luck

This is a good one. https://books.google.ch/books?hl=en&lr=&id=SdVLBAAAQBAJ&oi=fnd&pg=PP25&dq=Soil+Strength+and+Slope+Stability&ots=bQmgLbvqvl&sig=WHGa60S-_qpcST5vFrlvQbEpg68#v=onepage&q=Soil%20Strength%20and%20Slope%20Stability&f=false

soil: slip circle analysis (limit equilibrium on spreadsheet or software) and continuum analysis (e.g. FE)

rock: block sliding (limit equilibrium on spread sheet or software) and discontinuum analysis (e.g. DEM)

Please use Bayesian Networks probabilistic models. They can deal with uncertainty.

It depends on soil or rock slope problems. I usually used stereo-net in rock slope problems.

The method of determination of slope stability depends upon whether the slope is in soil or rock. In rocks and soils, the common types of slope failures are: 1. Plane failure 2. Wedge failure 3. Circular failure 4. Step-path failure 5. Toppling failure 6. Raveling.

The current state of practice divides the slope design into two separate categories:

1. The first category centers on structurally controlled failures. For example, plane, wedge and toppling failures can be analysed well established limit equilibrium models and stereo nets. It should also be kept in mind that structural features can also result in overall slope failure.

2. The second type includes non-structurally controlled failures in which some or all of the failure surface passes through a rock mass that has been weakened by the presence of joints, bedding planes and other second order structural features. In this case rock mass strength can be defined by a simple criterion in which average non-directional strength properties are assigned to the rock mass.

3. In reality most slope failures involve a complex mixture of structural and non-structural failures.

4. Some experts(Hoek, Rippere and Stacy) believe that the most promising solution involves the generation of a statistically equivalent model of the numerous structural features, such as joints. By applying fracture mechanics principles, a Monte Carlo simulation process can be used to generate possible failure paths through the jointed rock masses. The failure path providing the lowest shearing resistance would be considered the most likely "candidate failure surface" for an overall slope failure.

hi dear.

there are meny methods in slope stability anaylsis:

A. Limit Equilibrium Method. (1. Swedish Method, 2. Modify Swedish Method , 3. surface slip surface method, 4. Unlimit slope method, 5. Wedge method, 6. Simplified Bishop Method , 7. Felionus Method, 8. janbo general approach, 9. Spencer method, and ...).

B. Limit Analysis Method. ( based on equilibrium equations (3 equations), behavioral equations (6 equations) and compatibility equations (6 equations).

C. Finite Difference Method. (use of tylor's method approximation function ).

D. Finite Element Method. (a general method)

Hi dear

also you can read this one

in fact i wanna to mention to you that each developer will have the tendency to answer that his or her system is the best. However, we, as designers, should probably be claiming less and recognize that newer systems are generally better because these are designed based on the experiences achieved with the older systems.

Please use the MPM (Multiple Point Method) method.

Semi probabilistic methods

Agreed with Dr. S. P. Singh