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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