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On the role of moving elastic–plastic boundaries in strain gradient plasticity

R H J Peerlings 2007 Modelling Simul. Mater. Sci. Eng. 15 S109-S120   doi: 10.1088/0965-0393/15/1/S10  Help

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R H J Peerlings
Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
E-mail: R.H.J.Peerlings@tue.nl

Abstract. Gradient plasticity theories which are used to describe size effects require nonstandard boundary conditions. We believe that the role of these boundary conditions in combination with a moving elastic–plastic boundary has so far not been well understood. In order to clarify the conditions which are required at such an internal boundary, semi-analytical solutions are derived for a foil in pure bending. Two variants of gradient theories are considered, for which the necessary conditions are significantly different.

Print publication: Issue 1 (January 2007)
Received 8 June 2006, in final form 30 August 2006
Published 7 December 2006

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