Aspects of the pre- and postcritical localization analysis of solids

Citation
M. Lambrecht et C. Miehe, Aspects of the pre- and postcritical localization analysis of solids, Z ANG MA ME, 81, 2001, pp. S347-S348
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
81
Year of publication
2001
Supplement
2
Pages
S347 - S348
Database
ISI
SICI code
0044-2267(2001)81:<S347:AOTPAP>2.0.ZU;2-E
Abstract
The paper discusses aspects of the pre- and postcritical localization analy sis for a general class of isotropic non-associative elastoplasticity model s at finite strains. In order to detect the onset of bifurcation and the cr itical localization orientation an accompanying localization analysis is pe rformed. As the simulation within standard formulations of localized failur e yields the typical mesh-dependent postcritical results, we apply a new re gularization technique based on the introduction of a micro-structure at ea ch Gauss-point which bifurcates in the form of an assumed fluctuation field .