THEORETICAL RELATION BETWEEN THE LINEAR P ERTURBATION METHOD AND A BIFURCATION-ANALYSIS FOR PREDICTION OF STRAIN LOCALIZATION

Authors
BARBIER G BENALLAL A CANO V
Citation
G. Barbier et al., THEORETICAL RELATION BETWEEN THE LINEAR P ERTURBATION METHOD AND A BIFURCATION-ANALYSIS FOR PREDICTION OF STRAIN LOCALIZATION, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 326(3), 1998, pp. 153-158
Citations number
10
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie → ACNP
ISSN journal
12518069
Volume
326
Issue
3
Year of publication
1998
Pages
153 - 158
Database
ISI
SICI code
1251-8069(1998)326:3<153:TRBTLP>2.0.ZU;2-O
Abstract
The uniqueness of mechanical response can be lost for a material with softening. For a non-viscous material, two methods are widely used to predict this phenomenon: the linear perturbation method and the bifurc ation analysis. In this paper we prove that the latter method should b e considered as a limit case of the former one, as already observed in some particular cases. (C) Academie des Sciences/Elsevier, Paris.