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

Gidoni Paolo
•
Maggiani Giovanni Battista
•
Scala Riccardo
2019
  • journal article

Periodico
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Abstract
We continue the study of a dynamic evolution model for perfectly plastic plates, recently derived in [19] from three-dimensional Prandtl–Reuss plasticity. We extend the previous existence result by introducing non-zero 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.
DOI
10.3934/cpaa.2019084
WOS
WOS:000456782900010
Archivio
https://hdl.handle.net/11390/1262846
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85064242538
https://ricerca.unityfvg.it/handle/11390/1262846
Diritti
metadata only access
Soggetti
  • Dynamic evolution

  • Functions of bounded ...

  • Functions of bounded ...

  • Perfect plasticity

  • Prandtl–Reuss plastic...

  • Thin plates

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