NONLOCAL STRAIN-SOFTENING BAR REVISITED

Authors
Citation
C. Nilsson, NONLOCAL STRAIN-SOFTENING BAR REVISITED, International journal of solids and structures, 34(33-34), 1997, pp. 4399-4419
Citations number
51
Categorie Soggetti
Mechanics
ISSN journal
00207683
Volume
34
Issue
33-34
Year of publication
1997
Pages
4399 - 4419
Database
ISI
SICI code
0020-7683(1997)34:33-34<4399:NSBR>2.0.ZU;2-D
Abstract
Localization and dissipation in a nonlocal strain softening bar are in vestigated analytically. A nonlocal elastic-plastic model consistent w ith thermodynamic theory is proposed. The flow rules of nonlocal assoc iated plasticity are derived by invoking a generalized form of the pri nciple of maximum dissipation in classical plasticity. Analytical solu tions are derived for a linearly strain softening material. The relati onship between nonlocal characteristic length and width of localized z one is elucidated. A comparison with results obtained from correspondi ng gradient approach is presented. (C) 1997 Elsevier Science Ltd.