On the formulation of continuum thermodynamic models for solids as general equations for non-equilibrium reversible-irreversible coupling

DOI10.1007/s10659-011-9327-4zbMath1451.74025OpenAlexW2147371734WikidataQ107362156 ScholiaQ107362156MaRDI QIDQ1937119

Markus Hütter, Bob Svendsen

Publication date: 11 February 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-011-9327-4

zbMATH Keywords

dissipationcontinuum thermodynamicssolidsGENERICmaterial modeling

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (7)

Concurrent two-scale model for the viscoelastic behavior of elastomers filled with hard nanoparticles ⋮ Quasi-linear versus potential-based formulations of force-flux relations and the GENERIC for irreversible processes: comparisons and examples ⋮ A minimizing-movements approach to GENERIC systems ⋮ GENERIC-based formulation and discretization of initial boundary value problems for finite strain thermoelasticity ⋮ An energy‐entropy‐consistent time stepping scheme for nonlinear thermo‐viscoelastic continua ⋮ Thermodynamic model formulation for viscoplastic solids as general equations for non-equilibrium reversible-irreversible coupling ⋮ Extensions of nondissipative continuum mechanics toward complex fluids and complex solids

Cites Work

• Automated symbolic calculations in nonequilibrium thermodynamics
• On the existence of symmetry relations and dissipation potentials
• Finite anisotropic elasticity and material frame indifference from a nonequilibrium thermodynamics perspective
• Thermodynamic considerations on non-isothermal finite anisotropic elasto-viscoplasticity
• Continuum damage mechanics: Combining thermodynamics with a thoughtful characterization of the microstructure
• The thermodynamics of elastic materials with heat conduction and viscosity
• Manifolds, tensor analysis, and applications.
• An analysis of single and double generator thermodynamic formalisms for the macroscopic description of complex fluids
• A simple example for comparing GENERIC with rational nonequilibrium thermodynamics
• On representations of anisotropic invariants
• Method of Lagrange multipliers for exploitation of the entropy principle
• Why GENERIC ?
• Optimal ranking of tournaments
• The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function
• A critical comparison of nonlocal and gradient-enhanced softening continua
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