R H J Peerlings 2007 Modelling Simul. Mater. Sci. Eng. 15 S109 doi:10.1088/0965-0393/15/1/S10
R H J Peerlings
Show affiliationsGradient 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.
Issue 1 (January 2007)
Received 8 June 2006, in final form 30 August 2006
Published 7 December 2006
R H J Peerlings 2007 Modelling Simul. Mater. Sci. Eng. 15 S109
Tsung-Lin Chen and Sungsu Park 2005 J. Micromech. Microeng. 15 1664
S Y Park et al 2004 Metrologia 41 387
U Becker et al 1989 J. Phys. B: At. Mol. Opt. Phys. 22 749
B.F. McMillan and R.L. Dewar 2006 Nucl. Fusion 46 477
Jennifer E Decker et al 2006 Metrologia 43 L51
M Cieplak et al 1991 J. Phys. A: Math. Gen. 24 L145
Vasily E Tarasov 2004 J. Phys. A: Math. Gen. 37 3241
E J Daw et al 2004 Class. Quantum Grav. 21 2255
Ildar Gabitov and Ian Marshall 1998 Nonlinearity 11 845