ANALYSIS TO ANGLE BY SHEAR FAILURE OF ROCK AND SOIL SAMPLES BASED ON FAILURE PROBABILITY
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Graphical Abstract
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Abstract
The research of angle by shear failure is a hot topic and key point in engineering geology, and the conventional analytic solutions are MohrCoulomb solution and Roscoe solution. Consider the fact that the macrofailure is controlled by the distribution probability of those microfailures in samples, A failure probability model is introduced to analyze the rock and soil shearing failure angle, and then a Mohr circle of failure probability is given out on the base of a found that the principal axis of failure probability is the equal of the principal stress axis. Moreover, an analyses about the relation between microfailure probability and MohrCoulomb failure criterion is carried out, and Its found that MohrCoulomb criterion is a statistical result of large number microfailures in the failure progress and the Weibull model is only a special case of the distribution probability of failures, and so the failure model based on probability can accord with the failure criterions admirably.
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