Moore–Gibson–Thompson thermoelasticity
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Publication:5132451
DOI10.1177/1081286519862007OpenAlexW2963083283MaRDI QIDQ5132451
Publication date: 12 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286519862007
Related Items (62)
Numerical approximation of some poro-elastic problems with MGT-type dissipation mechanisms ⋮ Moore-Gibson-Thompson theory for thermoelastic dielectrics ⋮ Study of wave propagation in an infinite solid due to a line heat source under Moore-Gibson-Thompson thermoelasticity ⋮ Uniqueness and exponential instability in a new two-temperature thermoelastic theory ⋮ Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type ⋮ Numerical analysis of a thermoelastic dielectric problem arising in the Moore-Gibson-Thompson theory ⋮ Domain of influence results of dual-phase-lag thermoelasticity theory for natural stress-heat-flux problem ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ A domain of influence theorem for a natural stress-heat-flux problem in the Moore-Gibson-Thompson thermoelasticity theory ⋮ An a priori error analysis of poro-thermoviscoelastic problems ⋮ On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation ⋮ Moore-Gibson-Thompson thermoelasticity in the context of double porous materials ⋮ A study of thermoelastic interactions in thin and long radiating rods under Moore-Gibson-Thompson theory of thermoelasticity ⋮ A MGT thermoelastic problem with two relaxation parameters ⋮ A higher-order porous thermoelastic problem with microtemperatures ⋮ Moore Gibson Thompson thermoelastic plates: comparisons ⋮ A hierarchy of heat conduction laws ⋮ Numerical analysis of a Caginalp phase-field system in type III heat conduction ⋮ Pulsed excitation heating of semiconductor material and its thermomagnetic response on the basis of fourth-order MGT photothermal model ⋮ Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures ⋮ Mathematical modelling of laser-instigated magneto-thermo-mechanical interactions inside half-space ⋮ On fundamental solution of Moore-Gibson-Thompson (MGT) thermoelasticity theory ⋮ Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation ⋮ Thermal shock-induced Moore-Gibson-Thompson generalized coupled thermoelasticity analysis based on the strain gradient Love-Bishop theory in a nanorod resonator ⋮ Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model ⋮ On a composite obtained by a mixture of a dipolar solid with a Moore-Gibson-Thompson media ⋮ Thermoelastic damping analysis in microbeam resonators based on Moore-Gibson-Thompson generalized thermoelasticity theory ⋮ Continuous dependence and convergence for Moore-Gibson-Thompson heat equation ⋮ Implementation of Legendre wavelet method for the size dependent bending analysis of nano beam resonator under nonlocal strain gradient theory ⋮ Analysis of a Moore-Gibson-Thompson thermoelastic problem ⋮ Thermally stressed thermoelectric microbeam supported by Winkler foundation via the modified Moore–Gibson–Thompson thermoelasticity theory ⋮ Fractional derivative Moore‐Gibson‐Thompson heat equation without singular kernel for a thermoelastic medium with a cylindrical hole and variable properties ⋮ Numerical analysis of a problem of elasticity with several dissipation mechanisms ⋮ A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model ⋮ Boundary controllability for the 1D Moore-Gibson-Thompson equation ⋮ On the analyticity of the abstract MGT-Fourier system ⋮ On the thermoelasticity with several dissipative mechanisms of type III ⋮ Vibrational analysis of transversely isotropic hollow cylinder based on fractional generalized thermoelastic diffusion models with nonlocal effects ⋮ Some results in Moore‐Gibson‐Thompson thermoelasticity of dipolar bodies ⋮ Thermo‐viscoelastic behavior in an infinitely thin orthotropic hollow cylinder with variable properties under the non‐Fourier MGT thermoelastic 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theorem under MGT thermoelasticity theory ⋮ Surface energy effects on thermoelastic vibration of nanomechanical systems under Moore-Gibson-Thompson thermoelasticity and Eringen's nonlocal elasticity theories ⋮ On the analyticity of the MGT-viscoelastic plate with heat conduction ⋮ On the time decay for the MGT-type porosity problems ⋮ On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity ⋮ On the regularity and stability of three-phase-lag thermoelastic plate ⋮ On the existence and decay in a new thermoelastic theory with two temperatures ⋮ On the numerical approximation of a problem involving a mixture of a MGT viscous material and an elastic solid ⋮ On a mixture of an MGT viscous material and an elastic solid ⋮ On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Green-Naghdi type III heat conduction model
- Moore-Gibson-Thompson equation with memory. II: General decay of energy.
- Heat waves.
- Semigroups of linear operators and applications to partial differential equations
- Thermoelasticity without energy dissipation
- Structural stability and continuous dependence of solutions of thermoelasticity of type III
- Exponential decay in one-dimensional type III thermoelasticity with voids
- On the existence and uniqueness in phase-lag thermoelasticity
- Convergence result for the thermoelasticity of type III
- Convergence and structural stability in thermoelasticity.
- Nonclassical dynamical thermoelasticity
- Exponential stability in type III thermoelasticity with microtemperatures
- Optimal scalar products in the Moore-Gibson-Thompson equation
- Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound
- A type III phase-field system with a logarithmic potential
- A generalized dynamical theory of thermoelasticity
- Growth and uniqueness in thermoelasticity
- Variational and reciprocal principles in linear theory of type-III thermoelasticity
- Some generalizations of the Caginalp phase-field system
- Analyticity of solutions in type III thermoelastic plates [republished article]
- Thermoelasticity with Finite Wave Speeds
- Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
- Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
- An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
- A unified procedure for construction of theories of deformable media. I. Classical continuum physics
- Study of harmonic plane waves in rotating thermoelastic media of type III
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