Analysis And Application For Rock Damage Mechanism And Size Effect Of Joints Distribution With Nonlinear Dynamics

By rock mechanical experiments of rock material test system, scanning electronic microscope and optical microscope, this project finds three typical strain-stress curves of sandstone specimens and discusses damage mechanism of joints in micro, mecro and macro sizes. New method coupling circularity and foursquare to calculate fractal dimension and power spectrum method to determine the time delay r in reconstructing phase space are raised for the first time to study size effect of joints distribution and construct TDS chaotic dynamical rule to valuate stability of rock joints system, which improves basic theory and method of nonlinear dynamics. Analyzing distributing features of joints in micro, mecro and macro sizes with fractal theories, the project provides the non-scale zone that is a possible approach to solve size effect problem for rock damage mechanism. In non-scale zone, a mathematical model predicting joints quantity quantitatively are constructed to study rock damage mechanism by numerical simulation method of discrete elements code. From rock mechanical experiment, a mathematical model of TDS chaotic dynamical rule to valuate stability of rock joints system is constructed, which increases robustness of Wolf method in some degree to identify LE1. The project proposes dichotomy of rock strain-stress curve to study stage features of sandstone strain-stress curve qualitatively with TDS chaotic dynamical rule. By Kolmogorov entropy theory, joints transfixion can be identified quantitatively and attempted functions to study rock failure rules are constructed. According to crack mechanics and energy principle, this project establishes two dynamical equations of hard rock roof and three-dimensional slope and analyzes their stability with TDS valuating rule of chaotic dynamics. The project finds interfering features of mining action to stability of hard rock roof and sensitive damping effects of slope system. Studying stage features of hard rock roof with chaotic dynamics and numeral model based on back-analysis, this project finds that system state may be transformed from whole shock to periodic fall and predicted for short time. Application of TDS chaotic dynamical rule in valuating stability of spot slope states that increasing Kolmogorov entropies of stages are key features to predict state transformation and critical state and proves it is feasible to analyze and forecast dynamical state of slope system with energy rule.