Rapport (Rapport De Recherche) Année : 2025

Derivation of the Jacobi identity for continuum thermodynamics: application to thermo-visco-elastodynamics

Résumé

The Double Bracket Structure is a variational bracket framework. This research report presents various details of calculus that have been required to derive the results of a main paper, submitted to a peer-reviewed journal. First, the structure is derived for a uni-dimensional small strain generalized standard material, with a general quadratic dissipation potential. Second, it is developed for the example of large strain thermo-visco-elastodynamics, within the multisymplectic framework.

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Dates et versions

hal-05223598 , version 1 (26-08-2025)

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Identifiants

  • HAL Id : hal-05223598 , version 1

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Benjamin Georgette, David Dureisseix, Anthony Gravouil. Derivation of the Jacobi identity for continuum thermodynamics: application to thermo-visco-elastodynamics. INSA Lyon, CNRS, LaMCoS, UMR5259, 69621 Villeurbanne, France. 2025. ⟨hal-05223598⟩
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