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

P. Gidoni; G. B. Maggiani; R. Scala

doi:10.3934/cpaa.2019084

Article Contents

2019, Volume 18, Issue 4: 1783-1826. Doi: 10.3934/cpaa.2019084

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

1.
Dipartimento di Matematica, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy
2.
Dipartimento di Matematica, Università degli Studi di Pavia, Via Ferrata 1, 27100 Pavia, Italy
3.
Dipartimento di Matematica Guido Castelnuovo, Università degli Studi di Roma "La Sapienza", Piazzale Aldo Moro 5, 00185, Roma, Italy

Received: June 2018

Revised: November 2018

Published: January 2019

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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.

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Mathematics Subject Classification: 74C05, 74K20, 49J45.

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References

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