Geodesic
Fractional Interior Differentiability of the Stress Velocities to Elastic Plastic Problems with Hardening
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 3, pp. 469-494

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We consider classical variational inequalities modeling elastic plastic problems with kinematic and isotropic hardening. It is shown that the stress velocities have fractional derivatives of order $1/2 - \delta$ in $L^2$ in time direction on the whole existence interval. In space direction an analogous result holds in the interior of the domain. In the case of kinematic hardening, these results are also true for the strain velocity. 
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     author = {Frehse, Jens and Specovius-Neugebauer, Maria},
     title = {Fractional {Interior} {Differentiability} of the {Stress} {Velocities} to {Elastic} {Plastic} {Problems} with {Hardening}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {469--494},
     publisher = {mathdoc},
     volume = {Ser. 9, 5},
     number = {3},
     year = {2012},
     zbl = {1278.35242},
     mrnumber = {3051733},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_3_a1/}
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Frehse, Jens; Specovius-Neugebauer, Maria. Fractional Interior Differentiability of the Stress Velocities to Elastic Plastic Problems with Hardening. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 3, pp. 469-494. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_3_a1/