On the analytic expression of the free energy in linear viscoelasticity
From MaRDI portal
Publication:1357200
DOI10.1007/BF00042503zbMath0891.73025OpenAlexW2074016617MaRDI QIDQ1357200
Luca Deseri, Gianpietro Del Piero
Publication date: 2 August 1998
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00042503
Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20)
Related Items (24)
Free energies for singleton minimal states ⋮ The Relaxed Work Functional in Linear Viscoelasticity ⋮ Variational formulations for the linear viscoelastic problem in the time domain ⋮ General dissipative materials for simple histories ⋮ Second-gradient viscoelastic fluids: dissipation principle and free energies ⋮ Potential method in the linear theory of viscoelastic materials with voids ⋮ On the thermodynamically consistent fractional wave equation for viscoelastic solids ⋮ Free energies for materials with memory in terms of state functionals ⋮ Viscoelastic fluids: free energies, differential problems and asymptotic behaviour ⋮ Constructing free energies for materials with memory ⋮ An explicit formula for the minimum free energy in linear viscoelasticity ⋮ Energy flux and dissipation of inhomogeneous plane waves in hereditary viscoelasticity ⋮ Free energies for incompressible viscoelastic fluids ⋮ Free energies in a general non-local theory of a material with memory ⋮ Consequences of non-uniqueness in the free energy of materials with memory ⋮ A viscous boundary condition with memory in linear elasticity ⋮ The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs ⋮ The minimum and other free energies for non-linear materials with memory ⋮ Energy flux for damped inhomogeneous plane waves in viscoelastic fluids. ⋮ 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 ⋮ Nonisothermal free energies for linear theories with memory ⋮ Viscoelastic solids of exponential type. II: Free energies, stability and attractors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sull'espressione analitica di alcune grandezze termodinamiche nei materiali con memoria
- Tentative equations for the propagation of stress, strain and temperature fields in viscoelastic solids
- Remarks on materials with memory
- A mathematical foundation for thermodynamics
- On thermodynamics and elastic-plastic materials
- Free energies and dissipation properties for systems with memory
- On the concepts of state and free energy in linear viscoelasticity
- Sull'espressione dell'energia libera nei materiali viscoelastici lineari
- On the stability of solutions of functional-differential equations
- On the determination of free energy in linear viscoelastic solids
- On energies for nonlinear viscoelastic materials of single-integral type
- Monotonic, completely monotonic, and exponential relaxation functions in linear viscoelasticity
- On dissipation inequalities and linear viscoelasticity
- RESTRICTIONS ON RELAXATION FUNCTIONS IN LINEAR VISCOELASTICITY
This page was built for publication: On the analytic expression of the free energy in linear viscoelasticity
