Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking

P. D. Wu*, D. J. Lloyd, M. Jain, K. W. Neale, Y. Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

The finite element method is used to numerically simulate localized necking in AA6111-T4 under stretching. The measured EBSD data (grain orientations and their spatial distributions) are directly incorporated into the finite element model and the constitutive response at an integration point is described by the single crystal plasticity theory. We assume that localized necking is associated with surface instability, the onset of unstable growth in surface roughening. It is demonstrated that such a surface instability/necking is the natural outcome of the present approach, and the artificial initial imperfection necessitated by the macroscopic M-K approach [Marciniak and Kuczynski (1967). Int. J. Mech. Sci. 9, 609-620] is not relevant in the present analysis. The effects of spatial orientation distribution, material strain rate sensitivity, texture evolution, and initial surface topography on necking are discussed. It is found that localized necking depends strongly on both the initial texture and its spatial orientation distribution. It is also demonstrated that the initial surface topography has only a small influence on necking.

Original languageEnglish (US)
Pages (from-to)1084-1104
Number of pages21
JournalInternational journal of plasticity
Volume23
Issue number6
DOIs
StatePublished - Jun 1 2007

Fingerprint

Surface topography
Sheet metal
Textures
Spatial distribution
Stretching
Plasticity
Strain rate
Single crystals
Finite element method
Defects

Keywords

  • B. Anisotropic material
  • B. Crystal plasticity
  • C. Finite elements
  • Necking

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{c47574d048af46388ebca4da5cc59fa5,
title = "Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking",
abstract = "The finite element method is used to numerically simulate localized necking in AA6111-T4 under stretching. The measured EBSD data (grain orientations and their spatial distributions) are directly incorporated into the finite element model and the constitutive response at an integration point is described by the single crystal plasticity theory. We assume that localized necking is associated with surface instability, the onset of unstable growth in surface roughening. It is demonstrated that such a surface instability/necking is the natural outcome of the present approach, and the artificial initial imperfection necessitated by the macroscopic M-K approach [Marciniak and Kuczynski (1967). Int. J. Mech. Sci. 9, 609-620] is not relevant in the present analysis. The effects of spatial orientation distribution, material strain rate sensitivity, texture evolution, and initial surface topography on necking are discussed. It is found that localized necking depends strongly on both the initial texture and its spatial orientation distribution. It is also demonstrated that the initial surface topography has only a small influence on necking.",
keywords = "B. Anisotropic material, B. Crystal plasticity, C. Finite elements, Necking",
author = "Wu, {P. D.} and Lloyd, {D. J.} and M. Jain and Neale, {K. W.} and Y. Huang",
year = "2007",
month = "6",
day = "1",
doi = "10.1016/j.ijplas.2006.11.005",
language = "English (US)",
volume = "23",
pages = "1084--1104",
journal = "International Journal of Plasticity",
issn = "0749-6419",
publisher = "Elsevier Limited",
number = "6",

}

Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking. / Wu, P. D.; Lloyd, D. J.; Jain, M.; Neale, K. W.; Huang, Y.

In: International journal of plasticity, Vol. 23, No. 6, 01.06.2007, p. 1084-1104.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking

AU - Wu, P. D.

AU - Lloyd, D. J.

AU - Jain, M.

AU - Neale, K. W.

AU - Huang, Y.

PY - 2007/6/1

Y1 - 2007/6/1

N2 - The finite element method is used to numerically simulate localized necking in AA6111-T4 under stretching. The measured EBSD data (grain orientations and their spatial distributions) are directly incorporated into the finite element model and the constitutive response at an integration point is described by the single crystal plasticity theory. We assume that localized necking is associated with surface instability, the onset of unstable growth in surface roughening. It is demonstrated that such a surface instability/necking is the natural outcome of the present approach, and the artificial initial imperfection necessitated by the macroscopic M-K approach [Marciniak and Kuczynski (1967). Int. J. Mech. Sci. 9, 609-620] is not relevant in the present analysis. The effects of spatial orientation distribution, material strain rate sensitivity, texture evolution, and initial surface topography on necking are discussed. It is found that localized necking depends strongly on both the initial texture and its spatial orientation distribution. It is also demonstrated that the initial surface topography has only a small influence on necking.

AB - The finite element method is used to numerically simulate localized necking in AA6111-T4 under stretching. The measured EBSD data (grain orientations and their spatial distributions) are directly incorporated into the finite element model and the constitutive response at an integration point is described by the single crystal plasticity theory. We assume that localized necking is associated with surface instability, the onset of unstable growth in surface roughening. It is demonstrated that such a surface instability/necking is the natural outcome of the present approach, and the artificial initial imperfection necessitated by the macroscopic M-K approach [Marciniak and Kuczynski (1967). Int. J. Mech. Sci. 9, 609-620] is not relevant in the present analysis. The effects of spatial orientation distribution, material strain rate sensitivity, texture evolution, and initial surface topography on necking are discussed. It is found that localized necking depends strongly on both the initial texture and its spatial orientation distribution. It is also demonstrated that the initial surface topography has only a small influence on necking.

KW - B. Anisotropic material

KW - B. Crystal plasticity

KW - C. Finite elements

KW - Necking

UR - http://www.scopus.com/inward/record.url?scp=33847609230&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847609230&partnerID=8YFLogxK

U2 - 10.1016/j.ijplas.2006.11.005

DO - 10.1016/j.ijplas.2006.11.005

M3 - Article

VL - 23

SP - 1084

EP - 1104

JO - International Journal of Plasticity

JF - International Journal of Plasticity

SN - 0749-6419

IS - 6

ER -