Static And Dynamic Stability Analysis Of Slope Based On Three-Dimension Nonlinear Finite Element Method

Slope stability is always a key factor for civil engineering's safe construction and stable operation. For a long time, the safety factor analysis system is widely used for engineers to evaluate the slope's slide block stability, while the slope's overall stability and local destruction are not paid enough attention. This dissertation adopts the deformation reinforcement theory which based on three-dimension nonlinear finite element method and uses its two key judgments– plastic complementary energy and unbalanced force– to study the overall and local stability of slope both in static and dynamic conditions. Meanwhile, the displacement and stress results of slope and the slide block's safety factor are also used to analyze the slope stability.The main research works of this dissertation include:(1) A brief introduction of deformation reinforcement theory is given, and then some simple numerical examples is placed to show the change law of plastic complementary energy which changes with structure reduction and dynamic procedure, verifying the rationality of using the plastic complementary energy to judge the overall stability of slope. Meanwhile, the unbalanced force is also studied to show the relationship to local destruction, the unbalanced force's change law is studied at the same time.(2) Briefly introduced the basic theory of multi-grid method, then use this method to compute the slope slide surface's safety factor change with time, and the calculation precision is provided to show the multi-grid method's reliability. Then, the reliability theory based on statistical method is used to calculate the dynamic safety factor.(3) Apply the deformation reinforcement theory to study the static stability of JinPing left side high slope, and study the interaction and influence between slope and arch dam. At the end, conclusions of the slope static stability come from this example are generalized.(4) Apply the deformation reinforcement theory to study the dynamic stability of DaGangshan right side high slope. In this example, not only the plastic complementary energy and unbalanced force results are studied, but also the displacement and stress results, slide block safety factors are given to show the slope dynamic stability. The slope dynamic stability conclusion is also given in the end.