Variational Principles in L^(∞) with Applications to Antiplane Shear and Plane Stress Plasticity

Marian Bocea; Cristina Popovici

Abstract

The yield set of a polycrystal is characterized by means of a variational principle in L∞ obtained via Γ-convergence of a class of power-law functionals in the setting of A-quasiconvexity. Our results apply, in particular, to the model cases of antiplane shear and plane stress plasticity.

Author information

Contact details are reproduced from the original publication and may be historical.

Marian Bocea

Dept. of Mathematics, North Dakota State University, Fargo, ND 58108-6050, U.S.A.

marian.bocea@ndsu.edu

Cristina Popovici

Dept. of Mathematics, North Dakota State University, Fargo, ND 58108-6050, U.S.A.

cristina.popovici@ndsu.edu

Keywords

Antiplane shear
A-quasiconvexity
Gamma-convergence
lower semicontinuity
plane stress
polycrystal plasticity
yield set
yield surface

Mathematics Subject Classification

35F99, 35J70, 49K20, 49S05, 74C05

Suggested citation

M. Bocea, C. Popovici. “Variational Principles in L^(∞) with Applications to Antiplane Shear and Plane Stress Plasticity.” Journal of Convex Analysis 18 (2011), No. 2, 403–416.