Effect of Corrections in Smoothed Particle Applied Mechanics and Its Comparison with Molecular Dynamics Simulations for a Parkes Cantilever Beam

Publications

Effect of Corrections in Smoothed Particle Applied Mechanics and Its Comparison with Molecular Dynamics Simulations for a Parkes Cantilever Beam

Year : 2022

Publisher : Springer Science and Business Media Deutschland GmbH

Source Title : Lecture Notes in Mechanical Engineering

Document Type :

Abstract

We study the problem of Parkes cantilever beam using a multiscale framework. The problem comprises a cantilever target, which is subjected to a projectile impact at the free end. The two scales involved in our study are—the atomistic scale based molecular dynamics (MD) and the continuum scale based smooth particle applied mechanics (SPAM). Both methods, being particle-based, provide us a unique opportunity to compare (and possibly, improve) the SPAM method using the inputs from the MD simulations. The purpose of this study is to compare the effects of different corrections proposed within the SPAM framework and see which of the results yield a solution closer to MD simulations. For this purpose, three corrections—Artificial viscosity correction, XSPH correction, and Jaumann stress rate correction are studied. The comparison is made by looking at the deformation/fracture pattern, the radial distribution function, the centrosymmetry parameter, and the shear strain.