Journal article
Fractional differentiability for the stress velocities to the solution of the Prandtl-Reuss problem
Publication Details
Authors: | Frehse, J.; Specovius-Neugebauer, M.
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Abstract
We consider the loading of an elastic perfectly plastic body governed by the Prandtl-Reuss law. It is shown that the stress velocities of the body have fractional derivatives of order 1/2 - δ up to the boundary in the direction of the loading parameter, and of order ⅓ - δ in the interior of the body in direction of the space variables.
Keywords
elastic plastic deformation, fractional differentiability, Prandtl-Reuss-law, regularity