Realization Of SPH Program And Numerical Research On Heterogeneity Elastic-Brittle-Plastic Rock Failure Process

Rock material is a typical heterogeneity material, which has properties of elasticity, brittleness, plasticity, viscosity or their combinations. With rapid development of numerical calculation methods today, the applications of new numerical methods to rock mechanics research have good theoretical and practical value.Firstly in this paper, Smooth Particle Hydrodynamics (short for SPH) method is used to calculate the stress and deformation law of heterogeneity rock. With the help of Fortran compiler, the SPH procedure for solving the problem of solid mechanics is created. Main achievements of the paper are described as the following:(1) The research of stability and reliability in solving quasi-static compression tests with SPH numerical method is studied. A step length formula and an indicator of program convergence are proposed. Compared with elastic analytical solution, SPH method has excellent stability and reliability when it applied to solve the static load problem. And the program ignores the repeat search algorithm in the stage of small elastic deformation, and then the calculation is significantly faster than before with the results same as before.(2) The improvement research on boundary conditions setting. The setting of improved boundary conditions in compression simulation is better than that of essential boundary conditions and traditional boundary conditions.(3) The research and simulation of heterogeneous elastic-brittle-plastic rock material failure based on SPH method. A series of studies is taken on heterogeneity model with random Weibull distribution of material strength. The rock failure starts from micro-mechanical failure and then plastic region spreads or transfixes along angle of about 45 degrees until the rock is completely failure. The rock failure has tree forms-conjugate shear failure, main failure and V-type failure. And the simulation results show that stress singularity in failure region tips and stress rebound along the failure sides. With the heterogeneity degree reducing, peak pressure is decreased and the head pattern of acoustic emission is gradually turned into agminated pattern.