Abstract:Abstract: The dynamic explicit algorithm is based on the principle of time integration. It is more applicable to nonlinear problems than the static implicit algorithm. In order to use this method to calculate nonlinear materials including rock and soil, it is extremely necessary to analyze selection of quasi-static loading speed of the dynamic explicit algorithm in simulation calculation, because the kinetic energy influences in the explicit algorithm will result in fluctuation of results. How to look for balance as reducing simulated consumption time and result accuracy is the research emphasis in this thesis. The fluctuation ratio of the load-displacement curve is proposed in this research to evaluate the effect of quasi-static calculation. First of all, the plane strain simulation test of elastic materials is conducted to analyze the effect of the elastic modulus, density, Poisson’s ratio and confining pressure on the value of quasi-static load speed. The findings indicate that the increase of elastic modulus, Poisson’s ratio and confining pressure will increase quasi-static load speed, while the increase of density will reduce the quasi-static load speed. Correlation analysis between each influence factor and quasi-static load speed gives the empirical formula of quasi-static load speed. At last, the elastic-plastic constitutive model that can reveal complicated mechanical property of sandy soil is selected to develop the plane strain simulation test. The applicability difference in the empirical formula of quasi-static load speed between elastic materials and elastic-plastic materials is conducted contrastive analysis, and the application suggestion formula is proposed.