Formulation of thermodynamically consistent fractional Burgers models
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Publication:1790295
DOI10.1007/s00707-018-2198-zzbMath1396.74042OpenAlexW2805886805MaRDI QIDQ1790295
Aleksandar S. Okuka, Dusan Zorica
Publication date: 2 October 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-018-2198-z
Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)
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Fractional Burgers wave equation on a finite domain ⋮ A link between a variable-order fractional Zener model and non-Newtonian time-varying viscosity for viscoelastic material: relaxation time ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ Fractional Burgers models in creep and stress relaxation tests ⋮ Fractional Burgers wave equation ⋮ Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
Cites Work
- Unsteady flows of a generalized fractional Burgers' fluid between two side walls perpendicular to a plate
- Some exact solutions for rotating flows of a generalized Burgers' fluid in cylindrical domains
- Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods
- On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law
- MHD flow and heat transfer of a generalized Burgers fluid due to an exponential accelerating plate with the effect of radiation
- Hall effect on the pipe flow of a Burgers' fluid: An exact solution
- Discrete fracture modeling of asphalt concrete
- An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space
- Unsteady flows of a viscoelastic fluid with the fractional Burgers' model
- Exact solutions for some oscillating motions of a fractional Burgers' fluid
- Exact solutions of Stokes' first problem for heated generalized Burgers' fluid in a porous half-space
- Some exact solutions for fractional generalized Burgers' fluid in a porous space
- Exact solutions of starting flows for a fractional Burgers' fluid between coaxial cylinders
- On accelerated flows of a viscoelastic fluid with the fractional Burgers' model
- Starting solutions for a viscoelastic fluid with fractional Burgers' model in an annular pipe
- Internal dissipation, relaxation property, and free energy in materials with fading memory
- Some helical flows of a Burgers fluid with fractional derivative
- Fractional characteristic times and dissipated energy in fractional linear viscoelasticity
- A class of linear viscoelastic models based on Bessel functions
- On infinite order differential operators in fractional viscoelasticity
- Peristaltic propulsion of generalized Burgers' fluids through a non-uniform porous medium: a study of chyme dynamics through the diseased intestine
- Exact solutions to rotating flows of a Burgers' fluid
- Exact solution for rotating flows of a generalized Burgers' fluid in a porous space
- On the determination of free energy in linear viscoelastic solids
- Numerical study on peristaltic flow of generalized burgers' fluids in uniform tubes in the presence of an endoscope
- Thermodynamics of Materials with Memory
- On the Fractional Calculus Model of Viscoelastic Behavior
- Fractional Calculus With Applications in Mechanics
- Fractional Calculus with Applications in Mechanics
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