Sull'espressione analitica di alcune grandezze termodinamiche nei materiali con memoria

zbMath0535.73029MaRDI QIDQ791343

Dario Graffi

Publication date: 1982

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1982__68__17_0

zbMATH Keywords

free energymaterials with memoryClausius-Duhem inequalityrelaxation functionconstant temperatureextremum propertieslinear viscoelastic materialsspacewise one-dimensional processes

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) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (19)

Free energies for singleton minimal states ⋮ Free energies for nonlinear materials with memory ⋮ On the analytic expression of the free energy in linear viscoelasticity ⋮ Variational formulations for the linear viscoelastic problem in the time domain ⋮ Maximum recoverable work and pseudofree energies for a rigid heat conductor ⋮ General dissipative materials for simple histories ⋮ Second-gradient viscoelastic fluids: dissipation principle and free energies ⋮ Free energies for materials with memory in terms of state functionals ⋮ Constructing free energies for materials with memory ⋮ An explicit formula for the minimum free energy in linear viscoelasticity ⋮ On the existence and the asymptotic stability of solutions for linearly viscoelastic solids ⋮ Free energies for incompressible viscoelastic fluids ⋮ Maximum recoverable work for a rigid heat conductor with memory ⋮ The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs ⋮ A new approach to equations with memory ⋮ Free energies and minimal states for scalar linear viscoelasticity ⋮ Unique characterization of materials with memory ⋮ Some properties for viscous fluids with memory ⋮ Thermodynamics of a non-simple heat conductor with memory

Cites Work

• Sull'espressione dell'energia libera nei materiali viscoelastici lineari
• On the stability of solutions of functional-differential equations
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