A new understanding of limit theorem (Lower/Upper Bound Theorem) and its application to stability analysis

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The bearing capacity of anisotropically consolidated clay is analyzed by the theory based on the limit theorem (Upper/Lower Bound Theorem) taking the effect of anisotropy of the undrained strength into account. Particularly, in this investigation, the limit theorem was generalized.This generalization of the theory does not require the assumption of 'associated' flow rule. And then A method to search such admissible collapse mechanism was newly developed in this investigation. The limit analysis using this new method does not require the special technique to search the admissible collapse mechanism which is close to the exact solution. This method can form the admissible collapse mechanism without any artificial trial.The variations of bearing capacity factors with Ko are given for various types of shear test. The bearing capacities calculated by the present theory show fairly good agreement with the experimental results. The undrained strength measured by shear tests should be corrected in connection with the strength anisotropy and the effect of shear rate when they are introduced in conventional stability analysis. The correction factors for strength anisotropy are given by using present theory for various kinds of test strength.