A proposal concerning the physical rate of dissipation in materials with memory
From MaRDI portal
Publication:5464389
DOI10.1090/S0033-569X-05-00958-2zbMath1115.74004MaRDI QIDQ5464389
Publication date: 17 August 2005
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/distribution/qam/2005-63-01/S0033-569X-05-00958-2/home.html
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05)
Related Items (9)
Free energies for singleton minimal states ⋮ 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 ⋮ Free energies in a general non-local theory of a material with memory ⋮ The minimum and other free energies for non-linear materials with memory ⋮ Free energies and minimal states for scalar linear viscoelasticity ⋮ Unique characterization of materials with memory
Cites Work
- Consequences of non-uniqueness in the free energy of materials with memory
- Minimum free energies for materials with finite memory
- An objection to using entropy as a primitive concept in continuum thermodynamics
- A new mathematical theory of simple materials
- Tentative equations for the propagation of stress, strain and temperature fields in viscoelastic solids
- A mathematical foundation for thermodynamics
- On thermodynamics and elastic-plastic materials
- 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
- Nonisothermal free energies for linear theories with memory
- Internal dissipation, relaxation property, and free energy in materials with fading memory
- An explicit formula for the minimum free energy in linear viscoelasticity
- Thermodynamics based on a work axiom
- On recoverable work in linear visco-elasticity
- On the determination of free energy in linear viscoelastic solids
- 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 Continuous Spectrum Materials
- On dissipation inequalities and linear viscoelasticity
- The minimum free energy for a class of compressible viscoelastic fluids
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A proposal concerning the physical rate of dissipation in materials with memory