Fractional thermoelasticity revisited with new definitions of fractional derivative
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Publication:2224552
DOI10.1016/j.euromechsol.2020.104043zbMath1476.74025OpenAlexW3034295314MaRDI QIDQ2224552
Publication date: 4 February 2021
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2020.104043
Caputo-Fabrizio fractional derivativeAtangana-Baleanu fractional derivativegeneralized Lord-Shulman thermoelasticity
Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Applications of fractional calculus in solid mechanics (74S40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Fractional order generalized thermoelastic half-space subjected to ramp-type heating
- Theory of fractional order in electro-thermoelasticity
- The effect of fractional parameter on a perfect conducting elastic half-space in generalized magneto-thermoelasticity
- Surpassing the fractional derivative: concept of the memory-dependent derivative
- A two-dimensional problem for a transversely isotropic generalized thermoelastic thick plate with spatially varying heat source
- Fractional order theory of thermoelasticity
- Variational principle of fractional order generalized thermoelasticity
- Thermoelasticity without energy dissipation
- A novel generalized thermoelasticity model based on memory-dependent derivative
- Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
- Nonlinear generalized thermoelasticity of an isotropic layer based on Lord-Shulman theory
- A comment on some new definitions of fractional derivative
- Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity
- Fractional thermoelasticity problem for an infinite solid with a cylindrical hole under harmonic heat flux boundary condition
- New insights on microscale transient thermoelastic responses for metals with electron-lattice coupling mechanism
- Analytical solution for nonlocal coupled thermoelasticity analysis in a heat-affected MEMS/NEMS beam resonator based on Green-Naghdi theory
- Analysis on plane waves through magneto-thermoelastic microstretch rotating medium with temperature dependent elastic properties
- Transient thermoelastic response in a cracked strip of functionally graded materials via generalized fractional heat conduction
- Wave propagation at the boundary surface of an elastic and thermoelastic diffusion media with fractional order derivative
- Effect of fractional parameter on plane waves of generalized magneto-thermoelastic diffusion with reference temperature-dependent elastic medium
- Generalized solution of the thermoelastic problem for the axisymmetric structure with temperature-dependent properties
- State-space approach for an infinite medium with a spherical cavity based upon two-temperature generalized thermoelasticity theory and fractional heat conduction
- A generalized dynamical theory of thermoelasticity
- Well-posedness and numerical algorithm for the tempered fractional differential equations
- Thermoelasticity and Irreversible Thermodynamics
- A re-examination of the basic postulates of thermomechanics
- Electro–magneto interaction in fractional Green-Naghdi thermoelastic solid with a cylindrical cavity
- Study of wave propagation in a half-space in the fractional-order theory of thermoelasticity using the new Caputo definition
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