Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation

DOI10.1016/j.camwa.2023.04.001MaRDI QIDQ6103631

Ömer Civalek, Ahmed E. Abouelregal, Bekir Akgöz

Publication date: 5 June 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Laplace transformHall currentGreen-Naghdi modelviscoelasticorthotropic solidfourth-order MGT equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical methods for integral transforms (65R10)

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Cites Work

• Unnamed Item
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• A GN model based upon two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity
• Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation
• Hall effect on Hartmann flow and heat transfer of a Burgers' fluid
• Rotation and modified Ohm's law influence on magneto-thermoelastic micropolar material with microtemperatures
• A method for the numerical inversion of Laplace transforms
• The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder
• Uniaxial wave propagation in a nonlinear thermoviscoelastic medium with temperature dependent properties
• Thermoelasticity without energy dissipation
• A regularity criterion for a generalized Hall-MHD system
• Magneto-thermo-viscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading
• On thermoelastic analysis of two collinear cracks subject to combined quadratic thermo-mechanical load
• Error analysis of the second-order BDF finite element scheme for the thermally coupled incompressible magnetohydrodynamic system
• Thermal plane waves in unbounded non-local medium exposed to a moving heat source with a non-singular kernel and higher order time derivatives
• An a priori error analysis of poro-thermoviscoelastic problems
• Analysis of a Moore-Gibson-Thompson thermoelastic problem
• Determining the optimal parameters for the MHD flow and heat transfer with variable viscosity and Hall effect
• Magneto-thermoelastic interaction in a reinforced medium with cylindrical cavity in the context of Caputo-Fabrizio heat transport law
• Optimal scalar products in the Moore-Gibson-Thompson equation
• Eigenvalue approach to study the effect of rotation and relaxation time in generalized magneto-thermo-viscoelastic medium in one dimension
• A generalized dynamical theory of thermoelasticity
• Melting effect on Cattaneo-Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach
• Thermoelasticity and Irreversible Thermodynamics
• A re-examination of the basic postulates of thermomechanics
• An Improved Method for Numerical Inversion of Laplace Transforms
• Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
• Numerical Inversion of Laplace Transforms of Probability Distributions
• Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses
• Memory responses in a three-dimensional thermo-viscoelastic medium
• Moore–Gibson–Thompson thermoelasticity
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
• Response of thermoelastic cylindrical cavity in a non-local infinite medium due to a varying heat source

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