Journal of Applied Analysis 13 (2007), No. 2, 209--233
Copyright Heldermann Verlag 2007
Continuity Properties of the Stress Tensor in the 3-Dimensional Ramberg/Osgood model
Michael Bildhauer
Universität des Saarlandes, Fachbereich Mathematik, Postfach 15 11 50, 66041 Saarbrücken, Germany
bibi@math.uni-sb.de
Martin Fuchs
Universität des Saarlandes, Fachbereich Mathematik, Postfach 15 11 50, 66041 Saarbrücken, Germany
fuchs@math.uni-sb.de
We discuss the weak form of the Ramberg/Osgood equations (also known as the Norton/Hoff model) for nonlinear elastic materials on a 3-dimensional domain and show that the stress tensor is Hölder continuous on an open subset whose complement is of Lebesgue-measure zero. We also give an estimate for the Hausdorff-dimension of the singular set.
Keywords: Nonlinear elastic materials, Ramberg/Osgood equations, regularity.
MSC: 74B20, 74G40, 49N60, 35J60
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