The main objective of this work is to analyst how a two-dimensional second
gradient plasticity model is able to reproduce the three-dimensional bifurc
ation behaviour for a biaxially loaded flat plate. While it is found that t
he simple model used here is able to capture them qualitatively for the lon
gwavelength regime, it fails in reproducing them quantitatively, and in the
shortwavelength regime. Consideration of a more elaborated generalized con
tinuum should probably overcome these difficulties.