Moore-Gibson-Thompson theory for thermoelastic dielectrics

DOI10.1007/s10483-021-2703-9zbMath1490.37109OpenAlexW3118878212MaRDI QIDQ824083

José R. Fernández, Ramón Quintanilla

Publication date: 14 December 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/335985

zbMATH Keywords

existencesemigroupexponential decayMoore-Gibson-Thompson theorythermoelastic dielectrics

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Dynamical systems in solid mechanics (37N15)

Related Items (11)

Numerical approximation of some poro-elastic problems with MGT-type dissipation mechanisms ⋮ 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 ⋮ A MGT thermoelastic problem with two relaxation parameters ⋮ Generalized Moore‐Gibson‐Thompson thermoelastic fractional derivative model without singular kernels for an infinite orthotropic thermoelastic body with temperature‐dependent properties ⋮ On the mixtures of MGT viscoelastic solids ⋮ On the decay of MGT-viscoelastic plate with heat conduction of Cattaneo type in bounded and unbounded domains ⋮ 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 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

Cites Work

• On the analyticity of the MGT-viscoelastic plate with heat conduction
• Time-reversal invariance and thermodynamics of electromagnetic fields in materials with memory
• On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation
• Thermoelastic damping analysis in microbeam resonators based on Moore-Gibson-Thompson generalized thermoelasticity theory
• Analysis of a Moore-Gibson-Thompson thermoelastic problem
• Time-reversal and symmetry in the thermodynamics of materials with memory
• A domain of influence theorem for a natural stress-heat-flux problem in the Moore-Gibson-Thompson thermoelasticity theory
• A domain of influence theorem under MGT thermoelasticity theory
• Moore–Gibson–Thompson thermoelasticity
• Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
• Unnamed Item

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