@article{AIHPC_2009__26_6_2137_0,
author = {Demyanov, A.},
title = {Quasistatic Evolution in the Theory of Perfect Elasto-Plastic Plates. Part II : Regularity of Bending Moments},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {26},
year = {2009},
pages = {2137-2163},
doi = {10.1016/j.anihpc.2009.01.006},
mrnumber = {2569889},
zbl = {1177.74235},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2009__26_6_2137_0}
}
Demyanov, A. Quasistatic Evolution in the Theory of Perfect Elasto-Plastic Plates. Part II : Regularity of Bending Moments. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) pp. 2137-2163. doi : 10.1016/j.anihpc.2009.01.006. http://gdmltest.u-ga.fr/item/AIHPC_2009__26_6_2137_0/
[1] , On the Extremal Stress and Displacement in Hencky Plasticity, Duke Math. J. 51 (1984) 133-147. | MR 744291 | Zbl 0548.73022
[2] , , Asymptotic Behaviour of the Time-Dependent Norton-Hoff Law in Plasticity Theory and Regularity, Comment. Math. Univ. Carolinae 37 (2) (1996) 285-304. | MR 1399003 | Zbl 0851.35079
[3] , , , Quasistatic Evolution Problems for Pressure-Sensitive Plastic Materials, Milan J. Math. 75 (2007) 117-134. | MR 2371540 | Zbl pre05292671
[4] , , , Quasistatic Evolution Problems for Linearly Elastic-Perfectly Plastic Materials, Arch. Ration. Mech. Anal. 180 (2) (2006) 237-291. | MR 2210910 | Zbl 1093.74007
[5] , Compactness Theorems for Spaces of Functions With Bounded Derivatives and Applications to Limit Analysis Problems in Plasticity, Arch. Ration. Mech. Anal. 105 (1989) 123-161. | MR 968458 | Zbl 0669.73030
[6] , Regularity of Solutions in Prandtl-Reuss Perfect Plasticity, Calc. Var 34 (2009) 23-72. | MR 2448309 | Zbl 1149.74014
[7] , Quasistatic Evolution in the Theory of Perfectly Elasto-Plastic Plates. Part I: Existence of a Weak Solution, Math. Models Meth. Appl. Sci. 19 (2) (2009) 229-256. | MR 2498434 | Zbl 1160.74031
[8] , , Variational Methods for Problems From Plasticity Theory and for Generalized Newtonian Fluids, Springer-Verlag, Berlin, 2000. | MR 1810507 | Zbl 0964.76003
[9] , Global Regularity of the Elastic Fields of a Power-Law Model on Lipschitz Domains, Math. Meth. Appl. Sci 29 (2006) 1363-1391. | MR 2247307 | Zbl pre05051995
[10] , Sobolev Spaces, Springer-Verlag, 1985. | Zbl 0692.46023
[11] , Analysis of Energetic Models for Rate-Independent Materials, in: Beijing, 2002, Proceedings of the International Congress of Mathematicians, vol. III, Higher Ed. Press, Beijing, 2002, pp. 817-828. | MR 1957582 | Zbl 1018.74007
[12] , , A Chain Rule Formula for the Composition of a Vector-Valued Function by a Piecewise Smooth Function, Boll. Un. Mat. Ital. Sez. B 6 (3) (2003) 581-595. | MR 2014820 | Zbl 1179.46037
[13] , Remarks on Regularity Up to the Boundary for Solutions to Variational Problems in Plasticity Theory, J. Math. Sci. 93 (5) (1999) 779-783. | MR 1699125 | Zbl 0954.74508
[14] , Two-Dimensional Variational Problems in Plasticity Theory, Izv. Math. 60 (1) (1996) 179-216. | MR 1391123 | Zbl 0881.73039
[15] , On Regularity of Minimizers of Certain Variational Problems in Plasticity Theory, St. Petersburg Math. J. 4 (1993) 1257-1272. | MR 1202731 | Zbl 0838.73029
[16] , Diferentiability Properties of Weak Solutions of Certain Variational Problems in the Theory of Perfect Elastoplastic Plates, Appl. Math. Optim. 28 (1993) 307-335. | MR 1227426 | Zbl 0779.73086
[17] , On Differentiability Properties of the Stress-Tensor in the Coulomb-Mohr Theory of Plasticity, St. Petersburg Math. J. 4 (6) (1993) 1257-1272. | MR 1199642 | Zbl 0838.73029
[18] , Differential Properties of Solution of Evolution Variational Inequalities in the Theory of Plasticity, J. Math. Sci 72 (6) (1994) 3449-3458. | MR 1317379
[19] , Differentiability of Local Extremals of Variational Problems in the Mechanics of Perfect Elastoplastic Media, Differ. Uravn. 23 (11) (1987) 1981-1991, (in Russian). English translation:, Differential Equations 23 (1987) 1349-1358. | MR 928247 | Zbl 0655.73017
[20] G.A. Seregin, Private communications.
[21] , Mathematical Problems in Plasticity, Gauthier-Villars, Paris, 1985, Translation of, Problèmes mathématiques en plasticité, Gauthier-Villars, Paris, 1983. | MR 711964