›› 2007, Vol. 28 ›› Issue (10): 2127-2132.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Fundamental equations for limit analysis of soil mass and generalized method of limit equilibrium

HUANG Chuan-zhi   

  1. Tianjin Port Engineering Institute, Tianjin 300222, China
  • Received:2005-10-19 Online:2007-10-10 Published:2013-10-15

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Abstract: The extreme conditions of yield condition and yield function are discussed; and a velocity equation is established under the condition that no flow rule has been required. The equilibrium equation, extreme conditions of yield condition and yield function, and velocity equation are the fundamental equations for limit analysis of soil mass, which constitute a complete limit equilibrium problem of the boundary conditions for loading and velocity, including the coexistence of boundary conditions for loading and velocity. The upper and lower bound theorem of slope stabilization is rigorously proved; and a generalized method of limit equilibrium has been established to solve the problem of limit equilibrium. The calculated result of homogeneous soil indicates that the generalized method of limit equilibrium for a circular slip surface is basically identical with the upper bound solution for a logarithmic spiral surface.

Key words: limit analysis, failure mode, extreme condition, velocity equation, slope stabilization

CLC Number: 

  • TU 432
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
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