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LIMIT EQUILIBRIUM AND CONTINUUM (极限平衡和连续)
LIMIT EQUILIBRIUM AND CONTINUUM MECHANICS-BASED
NUMERICAL METHODS FOR ANALYZING STABILITY OF MSE WALLS
1 2
Jie Han (Member, ASCE) and Dov Leshchinsky (Member, ASCE)
ABSTRACT
Limit equilibrium (LE) methods have been commonly used to analyze stability of
geosynthetic-reinforced slopes. LE methods assume a potential slip surface, the soils along this slip
surface providing shear resistance, and geosynthetic reinforcement providing tensile forces and resisting
moments. Continuum mechanics-based numerical method has become increasingly used in recent years
for slope stability analysis. Continuum mechanics-based numerical method assumes a reduction of soil
strength by a factor to reach a critical state prior to failure. Both methods yield factors of safety of the
system. This paper presents a study to investigate the stability of MSE walls (vertical or 20o batter) using
LE and numerical methods. The comparisons of the critical slip surface and the factor of safety are made
when the predicted factor of safety using the LE approach is equal to 1.0. It is concluded that properly
adopted LE approach can be used to analyze the stability of MSE walls.
Keywords: Continuum mechanics, factor of safety, limit equilibrium, walls
INTRODUCTION
Limit equilibrium methods have been used for decades to safely design major geotechnical
structures. Bishop’s simplified method, utilizing a circular arc slip surface, is probably the
most popular limit equilibrium method. Although Bishop’s method is not rigorous in a sense that
it does not satisfy horizontal force limit equilibrium, it is simple to apply and, in many practical
problems, and it yields results close to rigorous limit equilibrium methods. In
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