Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
An analysis of Material Point Method in one-dimensional space
Submission Author:
Leonardo Ferreira , AL
Co-Authors:
Leonardo Ferreira, Luciana C L M Vieira, Tiago Lobo
Presenter: Leonardo Ferreira
doi://10.26678/ABCM.MECSOL2019.MSL19-0062
Abstract
When studying dynamic problems that cover large displacements, one might find difficulties in handling mesh distortion problems and calculating the convective term in momentum conservation equation with traditional numerical methods like the Finite Element Method (FEM). Moreover, these methods do not handle fractures and contact surfaces naturally, needing sophisticated and, oftentimes, complicated algorithms to do so. Furthermore, usage of FEM in dynamic problems becomes limited and, because of this, attention is turned to the Material Point Method (MPM), for it enables the handling of continuum mechanics problems without mesh distortion. This is achieved by filtering the best features of Lagrangian and Eulerian formulations, for the mesh in MPM is generally fixed, avoiding the convective term in momentum conservation equation. Stimulated by these advantages, a detailed analysis of MPM is done by studying the influence of the number of particles (material points), number of elements and time step in the final quality of simulations.
Keywords
solid mechanics, dynamics, material point method, Numerical Methods, Computer simulation
