Viscoelastic solids of exponential type. II: Free energies, stability and attractors
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Publication:2573809
DOI10.1007/s11012-003-9400-6zbMath1093.74011OpenAlexW1992155936MaRDI QIDQ2573809
Publication date: 24 November 2005
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-003-9400-6
Control, switches and devices (``smart materials) in solid mechanics (74M05) Linear constitutive equations for materials with memory (74D05)
Related Items (2)
Invariant subspace reduction for linear dynamic analysis of finite-dimensional viscoelastic structures ⋮ Response functions in linear viscoelastic constitutive equations and related fractional operators
Cites Work
- Uniform attractors for a semilinear evolution problem in hereditary simple fluids
- An energy stability method for simple fluids
- A new mathematical theory of simple materials
- Viscoelastic relaxation functions compatible with thermodynamics
- On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
- A mathematical foundation for thermodynamics
- A hereditary partial differential equation with applications in the theory of simple fluids
- 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
- An explicit formula for the minimum free energy in linear viscoelasticity
- Viscoelastic solids of exponential type. I: Minimal representations and controllability
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
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