2D nonlocal versus 3D bifurcation studies for biaxially loaded plates

Citation
A. Benallal et V. Tvergaard, 2D nonlocal versus 3D bifurcation studies for biaxially loaded plates, J PHYS IV, 8(P8), 1998, pp. 29-37
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL DE PHYSIQUE IV
ISSN journal
11554339 → ACNP
Volume
8
Issue
P8
Year of publication
1998
Pages
29 - 37
Database
ISI
SICI code
1155-4339(199811)8:P8<29:2NV3BS>2.0.ZU;2-2
Abstract
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.