A Voronoi Cell Material Point Method for Large Deformation Solid Mechanics Problems

Vinh Phu Nguyen; Giang Dinh Nguyen

doi:10.4028/www.scientific.net/AMM.846.108

Paper Titles

CFD Simulation of a Supercritical Carbon Dioxide Radial-Inflow Turbine, Comparing the Results of Using Real Gas Equation of Estate and Real Gas Property File
p.85

CFD Simulation of CO₂ Dispersion in a Real Terrain
p.91

Analysis of ZDDP Films on Sticking Defects by FEM during Hot Rolling of Ferritic Stainless Steel Strips
p.96

Numerical Investigation on Fracturing of Rock under Blast Using Coupled Finite Element Method and Smoothed Particle Hydrodynamics
p.102

A Voronoi Cell Material Point Method for Large Deformation Solid Mechanics Problems
p.108

Comparative Studies of Base Isolation Systems Featured with Lead Rubber Bearings and Friction Pendulum Bearings
p.114

Numerical Analysis and Parametric Study of Phononic Band Gap Structures
p.120

Numerical Modelling of Degradation of Cement Paste under External Sulfate Attack
p.127

Computational Modelling of Closed-Cell Aluminium Foams to Investigate Structural Deformation under Quasi-Static Loading
p.133

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 846A Voronoi Cell Material Point Method for Large...

A Voronoi Cell Material Point Method for Large Deformation Solid Mechanics Problems

Abstract:

Particle methods have been increasingly used in numerical simulations of complex problemsin both sciences and engineering. A plethora of different particle methods exists of which thematerial point method (MPM) is a promising method that is able to deal with high strain rate problemsthat involve contact, impact, damage and fragmentation. Particle domains in the MPM are currentlyrepresented by quadrilaterals in two dimensions. Extension to polygonal particle domains is presentedbased on a simple sub-division of the polygons into sub-triangles. This allows MPM simulations tobe carried out for structures and materials discretized by Voronoi tessellations. Performances of theproposed method are illustrated by means of numerical simulations.