WIAS Preprint No. 1486, (2010)

Formulation of thermo-elastic dissipative material behavior using GENERIC


  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888

2010 Mathematics Subject Classification

  • 35Q74 74C15 74F05


  • Gradient structure, reversible mass action reactions, free energy functional, entropy functional, energy balance equation, van Roosbroeck equations




The theory of GENERIC (general equations for non-equilibrium reversible irreversibel coupling) is presented in a mathematical form. It is applied first to simple mechanical systems and then generalized to standard generalized materials. It is shown that nonisothermal viscoplasticity can be cast into the form of GENERIC, if the dissipative structure is generalized from linear functionals to the more general subdifferential of convex potentials.

Appeared in

  • Contin. Mech. Thermodyn., 23 (2011) pp. 233--256.

Download Documents