J. Phys. IV France 08 (1998) Pr8-29-Pr8-37
2D nonlocal versus 3D bifurcation studies for biaxially loaded platesA. Benallal1 and V. Tvergaard2
1 Laboratoire de Mécanique et Technologie, 94235 Cachan, France
2 Department of Solid Mechanics, Lyngby, Denmark
The main objective of this work is to analyse how a two-dimensional second gradient plasticity model is able to reproduce the three-dimensional bifurcation behaviour for a biaxially loaded flat plate. While it is found that the simple model used here is able to capture them qualitatively for the longwavelength regime, it fails in reproducing them quantitatively. and in the shortwavelength regime. Consideration of a more elaborated generalized continuum should probaly overcome these difficulties.
© EDP Sciences 1998