0
Research Papers

Localized Necking in Elastomer-Supported Metal Layers: Impact of Kinematic Hardening

[+] Author and Article Information
Mohamed Ben Bettaieb

LEM3, UMR CNRS 7239—Arts et Métiers ParisTech,
4 rue Augustin Fresnel,
Metz Cedex 3 57078, France;
DAMAS,
Laboratory of Excellence on Design of Alloy
Metals for low-mAss Structures,
Université de Lorraine,
Nancy 54000, France
e-mail: Mohamed.BenBettaieb@ensam.eu

Farid Abed-Meraim

LEM3, UMR CNRS 7239—Arts et Métiers ParisTech,
4 rue Augustin Fresnel,
Metz Cedex 3 57078, France;
DAMAS,
Laboratory of Excellence on Design of Alloy
Metals for low-mAss Structures,
Université de Lorraine,
Nancy 54000, France

1Corresponding author.

Manuscript received March 11, 2016; final manuscript received October 29, 2016; published online January 25, 2017. Assoc. Editor: Yannis Korkolis.

J. Manuf. Sci. Eng 139(6), 061008 (Jan 25, 2017) (10 pages) Paper No: MANU-16-1159; doi: 10.1115/1.4035183 History: Received March 11, 2016; Revised October 29, 2016

This paper deals with localized necking in stretched metal sheets using the initial imperfection approach. The first objective is to study the effect of kinematic hardening on the formability of a freestanding metal layer. To this end, the behavior of the metal layer is assumed to follow the rigid-plastic rate-independent flow theory. The isotropic (respectively, kinematic) hardening of this metal is modeled by the Hollomon (respectively, Prager) law. A parametric study is carried out in order to investigate the effect of kinematic hardening on the formability limits. It is shown that the effect of kinematic hardening on the ductility limit is noticeably different depending on the strain path considered. The second aim of this paper is to analyze the effect of an elastomer substrate, perfectly bonded to the metal layer, on the formability of the whole bilayer. It is found that the addition of an elastomer layer substantially enhances the formability of the bilayer, in agreement with earlier studies.

FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Illustration of the M–K analysis for a bilayer in its initial configuration

Grahic Jump Location
Fig. 2

Comparison between the stress–strain curves obtained by isotropic hardening and mixed hardening: (a) material 1 (C=100 MPa), (b) material 2 (C=200 MPa), (c) material 3 (C=300 MPa), and (d) material 4 (C=400 MPa)

Grahic Jump Location
Fig. 3

Evolution of the strain ratio ε11B/ε11S as a function of ε11S for the plane-strain state (freestanding metal layer): (a) material 1, (b) material 2, (c) material 3, and (d) material 4

Grahic Jump Location
Fig. 4

Effect of kinematic hardening on the FLDs of freestanding metal layer: (a) material 1, (b) material 2, (c) material 3, and (d) material 4

Grahic Jump Location
Fig. 5

Effect of the initial imperfection factor on the FLDs of freestanding metal layer: (a) material 1, (b) material 2, (c) material 3, and (d) material 4

Grahic Jump Location
Fig. 6

Evolution of strain ratio ε11B/ε11S as a function of ε11S for the plane-strain state (metal/elastomer bilayer): (a) material 1 (mixed hardening), (b) material 2 (mixed hardening), (c) material 3 (mixed hardening), and (d) material 4 (mixed hardening)

Grahic Jump Location
Fig. 7

Effect of the thickness ratio HI/hI on the FLDs of metal/elastomer bilayer: (a) material 1 (isotropic hardening), (b) material 1 (mixed hardening), (c) material 2 (isotropic hardening), (d) material 2 (mixed hardening), (e) material 3 (isotropic hardening), and (f) material 3 (mixed hardening)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In