Stability analysis of soil slope based on cusp catastrophe theory

Slope stability judgment is one of the most important aspects of the project. Through the practical application of the principle of orthogonal design to further optimize the slope experiment scheme, six factors including the cohesion of C, internal friction angle , slope , slope height H, bulk density , and poisson's ratio , and related five levels were used in the experiment. Then the safety factor of slope was calculated by strength subtraction. At last, by mutation progression method in the cusp mutation theory, the slope stability was further judged and analyzed. It is found that the slope stability judged and analyzed by the safety factor which was calculated only based on the finite element strength reduction had some limitations, so it was of accuracy and practicability to comprehensively judge the slope stability based on cusp catastrophe theory and finite element strength reduction.

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