Size-effects in plane strain sheet-necking

Christian Frithiof Niordson; Pia Redanz

doi:10.1016/j.jmps.2004.05.009

Size-effects in plane strain sheet-necking

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Abstract

A finite strain generalization of the strain gradient plasticity theory by Fleck and Hutchinson (J. Mech. Phys. Solids 49 (2001a) 2245) is proposed and used to study size effects in plane strain necking of thin sheets using the finite element method. Both sheets with rigid grips at the ends and specimens with shear free ends are analyzed. The strain gradient plasticity theory predicts delayed onset of localization when compared to conventional theory, and it depresses deformation localization in the neck. The sensitivity to imperfections is analyzed as well as differently hardening materials. (C) 2004 Elsevier Ltd. All rights reserved.

Original language	English
Journal	Journal of the Mechanics and Physics of Solids
Volume	52
Issue number	11
Pages (from-to)	2431-2454
ISSN	0022-5096
DOIs	https://doi.org/10.1016/j.jmps.2004.05.009
Publication status	Published - 2004

Keywords

Localization
Strain gradient plasticity
Size effects
Finite strain
Elastic–plastic material
Finite elements

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10.1016/j.jmps.2004.05.009

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title = "Size-effects in plane strain sheet-necking",

abstract = "A finite strain generalization of the strain gradient plasticity theory by Fleck and Hutchinson (J. Mech. Phys. Solids 49 (2001a) 2245) is proposed and used to study size effects in plane strain necking of thin sheets using the finite element method. Both sheets with rigid grips at the ends and specimens with shear free ends are analyzed. The strain gradient plasticity theory predicts delayed onset of localization when compared to conventional theory, and it depresses deformation localization in the neck. The sensitivity to imperfections is analyzed as well as differently hardening materials. (C) 2004 Elsevier Ltd. All rights reserved. ",

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AU - Redanz, Pia

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AB - A finite strain generalization of the strain gradient plasticity theory by Fleck and Hutchinson (J. Mech. Phys. Solids 49 (2001a) 2245) is proposed and used to study size effects in plane strain necking of thin sheets using the finite element method. Both sheets with rigid grips at the ends and specimens with shear free ends are analyzed. The strain gradient plasticity theory predicts delayed onset of localization when compared to conventional theory, and it depresses deformation localization in the neck. The sensitivity to imperfections is analyzed as well as differently hardening materials. (C) 2004 Elsevier Ltd. All rights reserved.

KW - Localization

KW - Strain gradient plasticity

KW - Size effects

KW - Finite strain

KW - Elastic–plastic material

KW - Finite elements

U2 - 10.1016/j.jmps.2004.05.009

DO - 10.1016/j.jmps.2004.05.009

M3 - Journal article

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EP - 2454

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

IS - 11

ER -

Size-effects in plane strain sheet-necking

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Keywords

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