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A port-Hamiltonian formulation of linear thermoelasticity and its mixed finite element discretization

Brugnoli, Andrea and Alazard, Daniel and Pommier-Budinger, Valérie and Matignon, Denis A port-Hamiltonian formulation of linear thermoelasticity and its mixed finite element discretization. (2021) Journal of Thermal Stresses, 44 (6). 643-661. ISSN 0149-5739

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Official URL: https://doi.org/10.1080/01495739.2021.1917322

Abstract

A port-Hamiltonian formulation for general linear coupled thermoelasticity and for the thermoelastic bending of thin structures is presented. The construction exploits the intrinsic modularity of port-Hamiltonian systems to obtain a formulation of linear thermoelasticity as an interconnection of the elastodynamics and heat equations. The derived model can be readily discretized by using mixed finite elements. The discretization is structure-preserving, since the main features of the system are retained at a discrete level. The proposed model and discretization strategy are validated against a benchmark problem of thermoelasticity, the Danilovskaya problem.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > University of Twente (NETHERLANDS)
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Deposited On:09 May 2021 11:01

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