Calculus of Variations and Geometric Measure Theory
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P. Gidoni - G. B. Maggiani - R. Scala

Existence and regularity of solutions for an evolution model of perfectly plastic plates

created by scala on 28 Feb 2018
modified on 06 Mar 2018

[BibTeX]

Preprint

Inserted: 28 feb 2018
Last Updated: 6 mar 2018

Year: 2018

Abstract:

We continue the study of a dynamic evolution model for perfectly plastic plates, recently derived in MM from three-dimensional Prandtl-Reuss plasticity. We extend the previous existence result by introducing non-zero horizontal external forces in the model, and we discuss the regularity of the solutions thus obtained. In particular, we show that the first derivatives with respect to space of the stress tensor are locally square integrable.

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