SOME MODEL PROBLEMS OF POLYCRYSTAL PLASTICITY WITH DEFICIENT BASIC CRYSTALS

Authors
KOHN RV LITTLE TD
Citation
Rv. Kohn et Td. Little, SOME MODEL PROBLEMS OF POLYCRYSTAL PLASTICITY WITH DEFICIENT BASIC CRYSTALS, SIAM journal on applied mathematics (Print), 59(1), 1998, pp. 172-197
Citations number
36
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics (Print) → ACNP
ISSN journal
00361399
Volume
59
Issue
1
Year of publication
1998
Pages
172 - 197
Database
ISI
SICI code
0036-1399(1998)59:1<172:SMPOPP>2.0.ZU;2-8
Abstract
We consider the yield set of a (rigid-perfectly-plastic) polycrystal, where the basic crystal has very few slip systems. One would like to p redict whether the effective behavior is ductile or rigid. We address this issue for some model problems of antiplane shear and plane stress . Our main tools are nonlinear homogenization, bounds via compensated compactness, and the elastic comparison method.