Nonisothermal free energies for linear theories with memory

DOI10.1016/S0895-7177(04)90009-XzbMath1100.74004MaRDI QIDQ1827303

Giorgio Gentili, Mauro Fabrizio, John Murrough Golden

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

ViscoelasticityThermodynamicsFree energyMaterials with memoryNonisothermal

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)

Related Items (11)

Free energies for singleton minimal states ⋮ General dissipative materials for simple histories ⋮ Second-gradient viscoelastic fluids: dissipation principle and free energies ⋮ Constructing free energies for materials with memory ⋮ Phase transitions in materials with thermal memory ⋮ Free energies in a general non-local theory of a material with memory ⋮ The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs ⋮ Free energies and minimal states for scalar linear viscoelasticity ⋮ A proposal concerning the physical rate of dissipation in materials with memory ⋮ A Proposal Concerning the Physical Rate of Dissipation of Materials with Memory: The Non-isothermal Case ⋮ On weak regularity requirements of the relaxation modulus in viscoelasticity

Cites Work

• Consequences of non-uniqueness in the free energy of materials with memory
• Minimum free energies for materials with finite memory
• A new mathematical theory of simple materials
• A mathematical foundation for thermodynamics
• On thermodynamics and elastic-plastic materials
• On the thermodynamics of semi-systems with restrictions on the accessibility of states
• Free energies and dissipation properties for systems with memory
• On the analytic expression of the free energy in linear viscoelasticity
• On the concepts of state and free energy in linear viscoelasticity
• Internal dissipation, relaxation property, and free energy in materials with fading memory
• An explicit formula for the minimum free energy in linear viscoelasticity
• Existence of entropy as a consequence of asymptotic stability
• Thermodynamics based on a work axiom
• The coldness, a universal function in thermoelastic bodies
• Dissipative dynamical systems. I: General theory
• On recoverable work in linear visco-elasticity
• Systems of integral equations on a half line with kernels depending on the difference of arguments
• On uniqueness in linear viscoelasticity: a family of counterexamples
• Maximum recoverable work, minimum free energy and state space in linear viscoelasticity
• Maximum and minimum free energies for a linear viscoelastic material
• Free energies in the frequency domain: the scalar case
• The minimum free energy for a class of compressible viscoelastic fluids
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonisothermal free energies for linear theories with memory