Zhen Chen^1*†, Yu-Chen Su², Mohammed H. Saffarini¹, and Tommy Sewell³

¹Department of Civil and Environmental Engineering, University of Missouri, Columbia, MO 65211, USA.

²Department of Civil Engineering, National Central University, Taiwan.

³Department of Chemistry, University of Missouri, Columbia, MO 65211, USA.

*Presenting author: chenzh@missouri.edu

†Corresponding author: chenzh@missouri.edu

Abstract

To optimize blast/impact-resistant structural designs, the multiscale transient responses of metamaterial or architected composites should be understood with effective spatial discretization methods, in combination with well-designed experiments. Molecular dynamics (MD) and the finite element method (FEM) are representative discrete particle and continuous methods, respectively. The Material Point Method (MPM) is a continuum-based particle method that is formulated based on the weak form of the governing equations in a way like the FEM. To understand the difference and similarity between continuous and discrete methods, a comparative study of shocked metamaterial responses, with metallic and non-metallic constituents, is being performed via both MD and MPM. The overall features of the responses at the same spatial scale as obtained with both discretization procedures will be presented in this conference for several representative types of metamaterials. It appears from the preliminary study that the MD and MPM solutions are consistent at the same scale. As s result, it might be feasible to compare the MD and MPM solutions for verification in multiscale simulation of transient responses of metamaterials.

Keywords: Material Point Method, Molecular Dynamics, Metamaterials, Transient Responses