A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming

F. Greco, L. Filice, C. Peco, M. Arroyo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The finite element method is the reference technique in the simulation of metal forming and provides excellent results with both Eulerian and Lagrangian implementations. The latter approach is more natural and direct but the large deformations involved in such processes require remeshing-rezoning algorithms that increase the computational times and reduce the quality of the results. Meshfree methods can better handle large deformations and have shown encouraging results. However, viscoplastic flows are nearly incompressible, which poses a challenge to meshfree methods. In this paper we propose a simple model of viscoplasticity, where both the pressure and velocity fields are discretized with maximum entropy approximants. The inf-sup condition is circumvented with a numerically consistent stabilized formulation that involves the gradient of the pressure. The performance of the method is studied in some benchmark problems including metal forming and orthogonal cutting.

Original languageEnglish (US)
Pages (from-to)341-353
Number of pages13
JournalInternational Journal of Material Forming
Volume8
Issue number3
DOIs
StatePublished - Jul 27 2015

Fingerprint

Metal forming
Flow simulation
Entropy
Viscoplasticity
Finite element method

All Science Journal Classification (ASJC) codes

  • Materials Science(all)

Cite this

@article{2f0bfd32689248858f98dae437137fbb,
title = "A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming",
abstract = "The finite element method is the reference technique in the simulation of metal forming and provides excellent results with both Eulerian and Lagrangian implementations. The latter approach is more natural and direct but the large deformations involved in such processes require remeshing-rezoning algorithms that increase the computational times and reduce the quality of the results. Meshfree methods can better handle large deformations and have shown encouraging results. However, viscoplastic flows are nearly incompressible, which poses a challenge to meshfree methods. In this paper we propose a simple model of viscoplasticity, where both the pressure and velocity fields are discretized with maximum entropy approximants. The inf-sup condition is circumvented with a numerically consistent stabilized formulation that involves the gradient of the pressure. The performance of the method is studied in some benchmark problems including metal forming and orthogonal cutting.",
author = "F. Greco and L. Filice and C. Peco and M. Arroyo",
year = "2015",
month = "7",
day = "27",
doi = "10.1007/s12289-014-1167-x",
language = "English (US)",
volume = "8",
pages = "341--353",
journal = "International Journal of Material Forming",
issn = "1960-6206",
publisher = "Springer Paris",
number = "3",

}

A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming. / Greco, F.; Filice, L.; Peco, C.; Arroyo, M.

In: International Journal of Material Forming, Vol. 8, No. 3, 27.07.2015, p. 341-353.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming

AU - Greco, F.

AU - Filice, L.

AU - Peco, C.

AU - Arroyo, M.

PY - 2015/7/27

Y1 - 2015/7/27

N2 - The finite element method is the reference technique in the simulation of metal forming and provides excellent results with both Eulerian and Lagrangian implementations. The latter approach is more natural and direct but the large deformations involved in such processes require remeshing-rezoning algorithms that increase the computational times and reduce the quality of the results. Meshfree methods can better handle large deformations and have shown encouraging results. However, viscoplastic flows are nearly incompressible, which poses a challenge to meshfree methods. In this paper we propose a simple model of viscoplasticity, where both the pressure and velocity fields are discretized with maximum entropy approximants. The inf-sup condition is circumvented with a numerically consistent stabilized formulation that involves the gradient of the pressure. The performance of the method is studied in some benchmark problems including metal forming and orthogonal cutting.

AB - The finite element method is the reference technique in the simulation of metal forming and provides excellent results with both Eulerian and Lagrangian implementations. The latter approach is more natural and direct but the large deformations involved in such processes require remeshing-rezoning algorithms that increase the computational times and reduce the quality of the results. Meshfree methods can better handle large deformations and have shown encouraging results. However, viscoplastic flows are nearly incompressible, which poses a challenge to meshfree methods. In this paper we propose a simple model of viscoplasticity, where both the pressure and velocity fields are discretized with maximum entropy approximants. The inf-sup condition is circumvented with a numerically consistent stabilized formulation that involves the gradient of the pressure. The performance of the method is studied in some benchmark problems including metal forming and orthogonal cutting.

UR - http://www.scopus.com/inward/record.url?scp=84937970958&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937970958&partnerID=8YFLogxK

U2 - 10.1007/s12289-014-1167-x

DO - 10.1007/s12289-014-1167-x

M3 - Article

AN - SCOPUS:84937970958

VL - 8

SP - 341

EP - 353

JO - International Journal of Material Forming

JF - International Journal of Material Forming

SN - 1960-6206

IS - 3

ER -