Stability Analysis Using Reduction of Strength Parameters (ϕ-c-Reduction)

Using this method, a global safety factor is calculated, which indicates how much the strength parameters of the soil material, cohesion c and internal friction angle ϕ, can be reduced in order to still achieve numerical stability, that is, a state of equilibrium.

η = \frac{\tan (φ_{c})}{\tan (φ_{b})} = \frac{c_{c}}{c_{b}}

η	Safety and reduction factor
φc	Characteristic internal friction angle
φb	Reduced internal friction angle (at failure)
cc	Characteristic value of cohesion
cb	Reduced cohesion (at failure)

Safety Factor by Reducing Strength Parameters (ϕ-C Reduction)

References

Von Wolffersdorff, P.-A. (2019). Informationen und Empfehlungen des Arbeitskreises 1.6 „Numerik in der Geotechnik“ - Berechnung der Standsicherheit mit der FEM durch Reduzierung der Festigkeitsparameter. Geotechnik 42(2). https://doi.org/10.1002/gete.201900006

Parent Chapter

Theoretical Principles