Abstract—Numerical simulation of large deformation of soil based on constitutive models describing small deformation of soil in the framework of smoothed particle hydrodynamics (SPH) is investigated in this paper. In recent decades, the SPH method has been successfully used to simulate large deformation of soil. When SPH is used to simulate soil, constitutive models should be implemented in the SPH code in order to reflect the stress-strain relationship of soil. Nevertheless, typical soil constitutive models generally describe small deformation, and so the effects of them in the problem of simulating large deformation are worth researching. In this study, the SPH method with two elastic–plastic constitutive models i.e. Drucker-Prager model and the modified Cam-Clay model, are applied to simulate soil collapse. Numerical results indicate that there are superior differences in SPH simulation with the two constitutive models. Based on the obtained results, that constitutive models play an important role in simulation of large deformation of soil could be considered.

Index Terms—Elastic-plastic constitutive model, large deformation, smoothed particle hydrodynamics, soil collapse.

Dandan Dong is with School of Mathematics and Physics, Huanggang Normal University, Huanggang, Hubei, China.
Xuejun Zhou is with School of Mechanics and Materials, Hohai University, Nanjing, Jiangsu, China (email: zhouxj@hhu.edu.cn).

Cite: Dandan Dong, Xuejun Zhou, "Numerical Study on Soil Collapse Using SPH with Elastic-Plastic Models," International Journal of Applied Physics and Mathematics vol. 8, no. 4, pp. 66-78, 2018.