Fractional differentiability for the stress velocities to the solution of the Prandtl-Reuss problem - Research Information System | University of Kassel

Journal article

Fractional differentiability for the stress velocities to the solution of the Prandtl-Reuss problem

Publication Details

Authors:

Frehse, J.; Specovius-Neugebauer, M.

Publication year:

2012

Journal:

Journal of Applied Mathematics and Mechanics

Pages range :

113-123

Journal acronym:

ZAMM

Volume number:

Start page:

113

End page:

123

ISSN:

0044-2267

eISSN:

1521-4001

DOI-Link der Erstveröffentlichung:

http://dx.doi.org/10.1002/zamm.201100023

URN / URL:

http://onlinelibrary.wiley.com/doi/10.1002/zamm.201100023/abstract;jsessionid=7391F3D938BE22279BFE3665F22C87D6.d01t04

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

Authors/Editors

Specovius-Neugebauer, Maria

Research Areas

Mathematics