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On the time decay of solutions in micropolar viscoelasticity

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Abstract

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.

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Acknowledgments

The investigation reported in this paper is supported by the project “Análisis Matemático de las Ecuaciones en Derivadas Parciales de la Termomecánica” (MTM2013-42004-P) of the Spanish Ministry of Economy and Competitiveness.

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Authors and Affiliations

  1. Dept. Matemàtica Aplicada 2, UPC, C. Colom 11, 08222, Terrassa, Barcelona, Spain

    M. Carme Leseduarte, Antonio Magaña & Ramón Quintanilla

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  1. M. Carme Leseduarte
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  2. Antonio Magaña
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  3. Ramón Quintanilla
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Correspondence to M. Carme Leseduarte.

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Leseduarte, M.C., Magaña, A. & Quintanilla, R. On the time decay of solutions in micropolar viscoelasticity. Meccanica 50, 1761–1774 (2015). https://doi.org/10.1007/s11012-015-0117-0

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  • DOI: https://doi.org/10.1007/s11012-015-0117-0

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