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On the time decay of solutions in micropolar viscoelasticity

Author

Leseduarte Milán, María Carme

Magaña Nieto, Antonio

Quintanilla de Latorre, Ramón

Other authors

Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II

Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada

Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs

Publication date

2015-07-01

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Abstract

The final publication is available at Springer via http://dx.doi.org/10.1007/s11012-015-0117-0

This paper deals with isotropic micropolar viscoelastic materials. It can be said that that kind of materials have two internal structures: the macrostructure, where the elasticity effects are noticed, and the microstructure, where the polarity of the material points allows them to rotate. We introduce, step by step, dissipation mechanisms in both structures, obtain the corresponding system of equations and determine the behavior of its solutions with respect the time.

Peer Reviewed

Postprint (author’s final draft)

Document Type

Article

Language

English

Subjects and keywords

Àrees temàtiques de la UPC::Física::Termodinàmica; Viscoelasticity--Mathematical models; Elastic solids--Mathematical models; Micropolar viscoelasticity; Polynomial decay; Exponential decay; Semigroup of contractions; Viscoelasticitat -- Models matemàtics; Sòlids elàstics; Classificació AMS::74 Mechanics of deformable solids

Related items

http://link.springer.com/article/10.1007/s11012-015-0117-0

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Rights

Open Access

This item appears in the following Collection(s)

E-prints [72987]