Application of a new regularization technique to localized failure

Citation
M. Lambrecht et C. Miehe, Application of a new regularization technique to localized failure, Z ANG MA ME, 80, 2000, pp. S477-S478
Citations number
3
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Year of publication
2000
Supplement
2
Pages
S477 - S478
Database
ISI
SICI code
0044-2267(2000)80:<S477:AOANRT>2.0.ZU;2-4
Abstract
The simulation of localized failure, e.g. in the form of shear bands, yield s the typical mesh-dependent postcritical results within standard finite el ement formulations. We here propose a new regularization technique based on a micromechanically motivated approach which overcomes this problem. The k ey idea here is the introduction of a micro-structure at a typical Gauss-po int of the finite element mesh which bifurcates in the form of an assumed f luctuation field when macroscopic localization occurs. A regularization eff ect is obtained when the size of the microstructure is scaled to the volume associated with a Gauss-point of the finte element mesh.