Nonisothermal free energies for linear theories with memory
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Publication:1827303
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)
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
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