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Journal article

Size-effects in plane strain sheet-necking

By Niordson, Christian Frithiof1,2; Redanz, Pia1,2

From

Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark1

Department of Mechanical Engineering, Technical University of Denmark2

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.

Language: English
Year: 2004
Pages: 2431-2454
ISSN: 18734782 and 00225096
Types: Journal article
DOI: 10.1016/j.jmps.2004.05.009
ORCIDs: Niordson, Christian Frithiof
Keywords

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

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