Fatigue accumulation in a thermo-visco-elastoplastic plate

Michela Eleuteri; Jana Kopfová; Pavel Krejčí

doi:10.3934/dcdsb.2014.19.2091

Article Contents

2014, Volume 19, Issue 7: 2091-2109. Doi: 10.3934/dcdsb.2014.19.2091

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Fatigue accumulation in a thermo-visco-elastoplastic plate

1.
Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, viale Morgagni 67/a, 50134 Firenze
2.
Mathematical Institute of the Silesian University, Na Rybníčku 1, 746 01 Opava
3.
Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 11567 Praha 1

Received: April 2013

Revised: August 2013

Published: September 2014

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Abstract

We consider a thermodynamic model for fatigue accumulation in an oscillating elastoplastic Kirchhoff plate based on the hypothesis that the fatigue accumulation rate is proportional to the plastic part of the dissipation rate. For the full model with periodic boundary conditions we prove existence of a solution in the whole time interval.

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Mathematics Subject Classification: Primary: 74R20; Secondary: 74H35, 74N30.

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References

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