SPH, FEM and FEM-SPH numerical analysis of aluminium plate under low velocity impact

Abstract

In the present paper, different numerical analyses are carried out for modelling impact events. Smooth Particle Hydrodynamics (SPH) formulations, Finite Element Method (FEM) and a coupled FEM-SPH models are performed to investigate the response of AA5083-H116 Aluminium plate subjected to low velocity impact (12.31 m/s). Dimensions of Aluminium plate is 300 x 300 x 5 mm. There are 16 types of SPH formulation are available in Ls-Dyna, however, 4 of them are recommended to use with solid structures which are Standard SPH formulation (FORM=0), Renormalized SPH formulation (FORM=1), Total Lagrangian Formulation (FORM=7) and Renormalized Total Lagrangian Formulations (FORM=8). For FEM-SPH modelling, SPH particles are modelled with renormalized SPH formulations. Johnson-Cook material model is used with Gruneisen Equation of State (EOS) for the Aluminium plate. The response to impact event of models contain maximum deflection which is validated by experimental data available in literature. The results show, Total Lagrangian behaviour and FEM-SPH coupling have good agreement with experimental data by less than 2% error. However, maximum deflection value of standard SPH formulations obtained has 18.07% error.