Types of flow in Green-Naghdi Thermoelasticity Theory

Gilmar Garbugio, Henrique de Almeida Silva Mascalhusk Bernardo Leite

Resumo


In this paper we will show a review of the Green-Naghdi thermoelasticity theory.
Such model have beautiful foundations which contains since the law of heat conduction proposed byFourier, fundamentals variables such as Helmholtz free energy, entropy, flux of heat and etc. and the constitutive hypothesis. The nature of partial differential equation of parabolic (PDE) type derived from classical thermoelasticity lead us to a mathematical inconsistency well-know as thermal signal speed paradox. We will show how Green-Naghdi model solved those mathematical inconsistency introducing different types of flow and giving us a hyperbolic PDE.


Palavras-chave


Thermoelasticity; Constitutive hypothesis; Thermal signal paradox; Hyperbolic-Parabolic EDP; Heat Flow

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DOI: http://dx.doi.org/10.21575/25254782rmetg2020vol5n61318

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Direitos autorais 2020 Gilmar Garbugio

Revista Mundi Engenharia, Tecnologia e Gestão ISSN 2525-4782

Qualis: B4 - Interdisciplinar, B5 - Geografia, B5 - Administração Pública e de Empresas, Ciências Contábeis e Turismo, B5 - Comunicação e Informação, B5 - Engenharias III