Journal of Convex Analysis 18 (2011), No. 2, 403--416
Copyright Heldermann Verlag 2011
Variational Principles in L∞ with Applications to Antiplane Shear and Plane Stress Plasticity
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
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.
Keywords: Antiplane shear, A-quasiconvexity, Gamma-convergence, lower semicontinuity, plane stress, polycrystal plasticity, yield set, yield surface.
MSC: 35F99, 35J70, 49K20, 49S05, 74C05
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