Theoretical relation between the linear perturbation method and a bifurcation analysis for prediction of strain localization

被引：13
作者：
Barbier, G
Benallal, A
Cano, V
机构：
[1] Ctr Renardieres, Dept MTC, DER, EDF, F-77818 Moret sur Loing, France
[2] ENS Cachan, LMT, F-94235 Cachan, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1998年 / 326卷 / 03期
关键词：
localization; linear perturbation; bifurcation; softening behaviour;
D O I：
10.1016/S1251-8069(99)89001-0
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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 bifurcation analysis. In this paper we prove that the latter method should be considered as a limit case of the former one, as already observed in some particular cases. (C) Academie des Sciences/Elsevier, Paris.
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页码：153 / 158
页数：6
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