Fractional rheological models for thermomechanical systems. Dissipation and free energies
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Publication:2347403
DOI10.2478/s13540-014-0163-7zbMath1312.35177OpenAlexW2122413830MaRDI QIDQ2347403
Publication date: 27 May 2015
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s13540-014-0163-7
Fractional processes, including fractional Brownian motion (60G22) Thermodynamics in solid mechanics (74A15) Mittag-Leffler functions and generalizations (33E12) Linear constitutive equations for materials with memory (74D05) Classical and relativistic thermodynamics (80A10) Fractional partial differential equations (35R11)
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Cites Work
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- Thermodynamics of nonlocal materials: extra fluxes and internal powers
- Estimation of thermal parameters using fractional modelling
- Proprietà di alcune classi di funzioni in più variabili
- Constitutive equations for polymer viscoelasticity derived from hierarchical models in cases of failure of time-temperature superposition
- Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials.
- An historical perspective on fractional calculus in linear viscoelasticity
- Mechanical stress relaxation in polymers: Fractional integral model versus fractional differential model
- Application of fractional derivatives in thermal analysis of disk brakes
- Modelling heat transfer in heterogeneous media using fractional calculus
- Two-particle anomalous diffusion: probability density functions and self-similar stochastic processes
- Thermodynamics of Materials with Memory
- Distributed-Order Dynamic Systems
- Free energies and asymptotic behaviour for incompressible viscoelastic fluids
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- The Green function of the diffusion of fluids in porous media with memory
- Generalized viscoelastic models: their fractional equations with solutions
- Vibrations of an infinite viscoelastic layer with a dissipative memory
- DISSIPATIVITY AND IRREVERSIBILITY OF ELECTROMAGNETIC SYSTEMS
- The minimum free energy for a class of compressible viscoelastic fluids
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