| Contents |
| This contribution deals with the framework of metriplectic systems introduced
by P.J. Morrison and further developed under the acronym GENERIC
(General Equation for Non-Equilibrium Reversible-Irreversible Coupling)
by H.C. Oettinger and M. Grmela for fluid mechanics.
Recently, this concept has been transferred to solid mechanics
by A. Mielke and co-workers.
This framework allows for the derivation of thermodynamically consistent
models, which may couple both reversible and irreversible, dissipative effects.
The GENERIC approach to thermomechanics is based on functionals and geometric structures
rather than PDEs, which are in fact obtained as a result of this modeling ansatz.
The GENERIC structure highlights the role of the energy as the
driving potential for reversible processes and the role of the entropy as the driving
potential for irreversible processes, and thus helps to characterize physical effects.
In this talk, GENERIC is used to model the interaction of
reaction-diffusion processes, temperature changes,
and mechanical stresses in solids. |
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