Variational formulation of softening phenomena in fracture mechanics. The one-dimensional case

Authors
Braides, A Dal Maso, G Garroni, A
Citation
A. Braides et al., Variational formulation of softening phenomena in fracture mechanics. The one-dimensional case, ARCH R MECH, 146(1), 1999, pp. 23-58
Citations number
18
Categorie Soggetti
Mathematics,"Mechanical Engineering
Journal title
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN journal
00039527 → ACNP
Volume
146
Issue
1
Year of publication
1999
Pages
23 - 58
Database
ISI
SICI code
0003-9527(1999)146:1<23:VFOSPI>2.0.ZU;2-D
Abstract
We show that discrete models of atoms subject to nearest-neighbour non-line ar interactions approximate continua allowing for softening and fracture. A detailed study of local minima and stationary points is carried out. Scale effects are discussed.