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A transmission problem with non-linear internal damping in elasticity

✍ Scribed by Higidio Portillo Oquendo

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
141 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider an anisotropic body constituted by two different types of materials: a part is simple elastic while the other has a non‐linear internal damping. We show that the dissipation caused by the damped part is strong enough to produce uniform decay of the energy, more precisely, the energy decays exponentially when the dissipation is linear with respect to the velocity. For a non‐linear class of dissipations we prove that the energy decays polynomially. Copyright © 2003 John Wiley & Sons, Ltd.

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