Electro-thermoelasticity theory with memory-dependent derivative heat transfer

DOI10.1016/j.ijengsci.2015.10.011zbMath1423.74026OpenAlexW2192925654MaRDI QIDQ1625949

Y. Aharonov

Publication date: 26 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2015.10.011

zbMATH Keywords

numerical resultstime-delaykernel functionthermoelectric materialsmagneto-thermelasticitymemory-dependent derivative

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Electromagnetic effects in solid mechanics (74F15)

Related Items

SEEBECK EFFECT ON MAGNETO-THERMO-VISCOELASTIC HOMOGENEOUS ISOTROPIC HOLLOW CYLINDER WITH GREEN-NAGHDI THEORY ⋮ Elasto-thermodiffusive response in a spherical shell subjected to memory-dependent heat transfer ⋮ Effect of non-locality in the vibration of a micro-scale beam under two-temperature memory responses ⋮ Magneto-thermoelastic interaction in transversely isotropic medium with memory dependent derivative under three theories ⋮ Memory response on thermal wave propagation in an elastic solid with voids due to influence of magnetic field ⋮ Thermoelastic response of fiber-reinforced epoxy composite under continuous line heat source ⋮ Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses ⋮ Thermo-viscoelastic interaction under dual-phase-lag model with memory-dependent derivative ⋮ Transient response in an elasto-thermo-diffusive medium in the context of memory-dependent heat transfer ⋮ A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid ⋮ Modeling of memory-dependent derivative in a functionally graded plate ⋮ Investigation of a half-space heated by laser pulses based on the generalized thermoelastic theory with variable thermal material properties ⋮ Non-local memory-dependent heat conduction in a magneto-thermoelastic problem ⋮ Electro–magneto interaction in fractional Green-Naghdi thermoelastic solid with a cylindrical cavity ⋮ A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source ⋮ Mathematical modelling of laser-instigated magneto-thermo-mechanical interactions inside half-space ⋮ Interactions of a heat source moving over a visco-thermoelastic rod kept in a magnetic field in the Lord-Shulman model under a memory dependent derivative ⋮ Unsteady MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid with Cattaneo heat flux and different particle shapes ⋮ A generalized thermoelastic diffusion problem with memory-dependent derivative ⋮ Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux ⋮ Finite element analysis in a fiber-reinforced cylinder due to memory-dependent heat transfer ⋮ Transient response in a piezoelastic medium due to the influence of magnetic field with memory-dependent derivative ⋮ Unnamed Item ⋮ Memory response on wave propagation in a micropolar magneto-thermo-viscoelastic half-space ⋮ The memory effect on thermal wave propagation in a moving thin slab ⋮ FRACTIONAL ORDER THERMOELASTICITY FOR PIEZOELECTRIC MATERIALS

Cites Work

• Unnamed Item
• Theory of fractional order in electro-thermoelasticity
• The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times
• State space approach of two-temperature magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity
• Effects of modified ohm's and Fourier's laws on generalized magneto-viscoelastic thermoelasticity with relaxation volume properties
• Surpassing the fractional derivative: concept of the memory-dependent derivative
• Theory of fractional order in generalized thermoelectric MHD
• A method for the numerical inversion of Laplace transforms
• Fractional order theory of thermoelasticity
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• State space formulation to viscoelastic fluid flow of magnetohydrodynamic free convection through a porous medium
• State space approach to generalized magneto-thermoelasticity with two relaxation times in a medium of perfect conductivity
• The dependence of the modulus of elasticity on reference temperature in generalized thermoelasticity with thermal relaxation.
• A novel generalized thermoelasticity model based on memory-dependent derivative
• Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures
• Nonclassical dynamical thermoelasticity
• A generalized dynamical theory of thermoelasticity
• On fractional thermoelasticity
• Application of fractional order theory of thermoelasticity to a 1D problem for a half-space
• Thermoelasticity and Irreversible Thermodynamics
• Thermoelectric Viscoelastic Fluid with Fractional Integral and Derivative Heat Transfer