Variational Principles in L∞ with Applications to Antiplane Shear and Plane Stress Plasticity
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 403-416
Voir la notice de l'article provenant de la source Heldermann Verlag
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.
Classification :
35F99, 35J70, 49K20, 49S05, 74C05
Mots-clés : Antiplane shear, A-quasiconvexity, Gamma-convergence, lower semicontinuity, plane stress, polycrystal plasticity, yield set, yield surface
Mots-clés : Antiplane shear, A-quasiconvexity, Gamma-convergence, lower semicontinuity, plane stress, polycrystal plasticity, yield set, yield surface
@article{JCA_2011_18_2_JCA_2011_18_2_a7,
author = {M. Bocea and C. Popovici},
title = {Variational {Principles} in {L\protect\textsuperscript{\ensuremath{\infty}}} with {Applications} to {Antiplane} {Shear} and {Plane} {Stress} {Plasticity}},
journal = {Journal of convex analysis},
pages = {403--416},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2011},
url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a7/}
}
TY - JOUR AU - M. Bocea AU - C. Popovici TI - Variational Principles in L∞ with Applications to Antiplane Shear and Plane Stress Plasticity JO - Journal of convex analysis PY - 2011 SP - 403 EP - 416 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a7/ ID - JCA_2011_18_2_JCA_2011_18_2_a7 ER -
%0 Journal Article %A M. Bocea %A C. Popovici %T Variational Principles in L∞ with Applications to Antiplane Shear and Plane Stress Plasticity %J Journal of convex analysis %D 2011 %P 403-416 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a7/ %F JCA_2011_18_2_JCA_2011_18_2_a7
M. Bocea; C. Popovici. Variational Principles in L∞ with Applications to Antiplane Shear and Plane Stress Plasticity. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 403-416. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a7/