Abstract
A cusp catastrophic model of rock pillar instability was developed under uniaxial stress conditions, based on the assumptive softening constitutive relations under static mechanics. The static criterion of rock pillar instability is derived. The dynamical nonlinear differential equation under nonequilibrium state followed by the cusp catastrophic model is introduced. The characteristics of rock pillars chaotic evaluation are studied under the change of linear stiffness. The results show that the rock pillars motion is chaotic when the linear stiffness is in a certain interval, which are proved by the calculated max Lyapunov exponent.
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