Internal dissipation, relaxation property, and free energy in materials with fading memory

DOI10.1007/BF00042457zbMath0853.73024OpenAlexW1967497176MaRDI QIDQ1905669

Claudio Giorgi, Mauro Fabrizio, Angelo Morro

Publication date: 10 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf00042457

zbMATH Keywords

free energy functionallinear viscoelasticityClausius-Duhem inequalityfunction norm

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (17)

DISSIPATIVITY AND IRREVERSIBILITY OF ELECTROMAGNETIC SYSTEMS ⋮ Thermodynamics of electromagnetic isothermal systems with memory ⋮ Global solution to a singular integro-differential system related to the entropy balance ⋮ Saint-Venant's principle in linear viscoelasticity ⋮ Fractional characteristic times and dissipated energy in fractional linear viscoelasticity ⋮ An explicit formula for the minimum free energy in linear viscoelasticity ⋮ Free energies for incompressible viscoelastic fluids ⋮ The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs ⋮ A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE ⋮ A new approach to equations with memory ⋮ Global existence for a phase separation system deduced from the entropy balance ⋮ Formulation of thermodynamically consistent fractional Burgers models ⋮ A proposal concerning the physical rate of dissipation in materials with memory ⋮ A thermodynamic approach to rate-type models of elastic-plastic materials ⋮ Nonisothermal free energies for linear theories with memory ⋮ Fractional damping effects on the transient dynamics of the Duffing oscillator ⋮ On the spatial behaviour in dynamics of elastic mixtures

Cites Work

• An objection to using entropy as a primitive concept in continuum thermodynamics
• Viscoelastic relaxation functions compatible with thermodynamics
• Free energies and dissipation properties for systems with memory
• Norms and semi-groups in the theory of fading memory
• On the general theory of fading memory
• Free-energy functions for elastic-plastic material elements
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