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

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.
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https://hal.archives-ouvertes.fr/hal-03230436
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Submitted on : Wednesday, May 19, 2021 - 9:59:29 PM
Last modification on : Saturday, May 22, 2021 - 3:02:26 AM
Long-term archiving on: : Friday, August 20, 2021 - 6:58:53 PM

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Andrea Brugnoli, Daniel Alazard, Valérie Pommier-Budinger, Denis Matignon. A port-Hamiltonian formulation of linear thermoelasticity and its mixed finite element discretization. Journal of Thermal Stresses, Taylor & Francis, 2021, 44 (6), pp.643-661. ⟨10.1080/01495739.2021.1917322⟩. ⟨hal-03230436⟩

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