IJPAM: Volume 54, No. 4 (2009)

PLANE STRESS POLYCRYSTAL PLASTICITY AS
A LIMITING CASE OF THE POWER-LAW MODEL
VIA $\Gamma$-CONVERGENCE

Marian Bocea$^1$, Cristina Popovici$^2$
$^{1,2}$Department of Mathematics
North Dakota State University
NDSU Dept. # 2750, P.O. Box 6050
Fargo, ND 58108-6050, USA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]


Abstract.A model problem in polycrystal plasticity involving plane stress is considered. A variational principle which characterizes the yield set of the polycrystal is obtained as a limiting case of variational principles associated to a class of power-law functionals, via $\Gamma$-convergence.

Received: July 17, 2009

AMS Subject Classification: 35F99, 35J70, 49K20, 49S05, 74C05

Key Words and Phrases: antiplane shear, $\Gamma$-convergence, lower semicontinuity, plane stress, polycrystal plasticity, yield set, yield surface

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 4