›› 2012, Vol. 33 ›› Issue (6): 1816-1821.

• Numerical Analysis • Previous Articles     Next Articles

Evaluation of strength reduction factor by lower bound limit analysis using finite element method

LI Chun-guang，ZHU Yu-fei，LIU Feng，DENG Qin，ZHENG Hong   

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2011-10-12 Online:2012-06-11 Published:2012-06-14

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Abstract: For the strength reduction factor commonly used in geotechnical engineering, its lower limit programming problem is nonlinear and can’t be solved directly by linear programming. Based on the lower limit method and the feature of strength reduction factor and overload factor, the strength reduction factor can be obtained by adjusting the shear strength when the overload factor approach to 1, and thus linear programming algorithm can be fully used. It is shown that the fitted hyperbolic curve method is more efficient and has larger convergence range than conventional methods, such as bisection method and secant method. Suggested method can take full advantage of the efficientcy of linear programming, and is also suitable for application in engineering.

Key words: lower bound analysis, linear programming, strength reduction method, overload factor, slope

CLC Number: 

  • O 242.21
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