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Continuity properties of the stree tensor in the 3-dimensional Ramberg/Osgood model

Bildhauer. M., Fuchs M.

Journal of Applied Analysis

2007

Vol. 13, nr 2

209-233

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 Hoelder continuous on an open subset whose complement is of Lebesguemeasure zero. We also give an estimate for the Hausdorff-dimension of the singular set.