›› 2011, Vol. 32 ›› Issue (2): 559-563.

• Numerical Analysis • Previous Articles     Next Articles

Global method for stability analysis of slopes based on Pan’s maximum principle

YANG Zhao-liang1, SUN Guan-hua2, ZHENG Hong 1, 2   

  1. 1. Key Laboratory of Geological Hazards in Three Gorges Reservoir of Ministry of Education, China Three Gorges University, Yichang, Hubei 443002, China; 2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2009-11-07 Online:2011-02-10 Published:2011-02-16

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Abstract:

On the basis of global analysis procedure and PAN Jia-zheng’s maximum principle for the stability analysis of slopes, a nonlinear optimum model is set up for calculating the factor of safety, which takes as independent variables the factor of safety as well as the normal stress on the slip surface. The objective function is just the factor of safety. The constraint conditions include that (1) the equilibrium equations are satisfied; (2) the normal stress and the interslice thrust are not negative; and (3) the thrust line is within the slip body. Since the objective function is linear and the constraint functions are polynomials of at most degree two, the model has weaker nonlinearity, enjoys a large scope of convergence, and can be solved by means of the conventional optimization algorithms.

Key words: slope stability, limit equilibrium method, nonlinear optimization problem, Pan’s maximum principle

CLC Number: 

  • TU 473
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