Memory responses in a three-dimensional thermo-viscoelastic medium

A Sur - Waves in Random and Complex Media, 2022 - Taylor & Francis
Due to the shortcomings of power law distributions in the heat transfer laws of fractional
calculus, some other forms of derivatives with few other kernel functions have been …

Generalized thermoelastic functionally graded orthotropic hollow sphere under thermal shock with three-phase-lag effect

A Kar, M Kanoria - European Journal of Mechanics-A/Solids, 2009 - Elsevier
This problem deals with the determination of thermo-elastic interaction due to step input of
temperature on the boundaries of a functionally graded orthotropic hollow sphere in the …

Fractional order two-temperature thermoelasticity with finite wave speed

A Sur, M Kanoria - Acta Mechanica, 2012 - Springer
In this paper, a new theory of two-temperature generalized thermoelasticity is constructed in
the context of a new consideration of heat conduction with fractional orders. The two …

Effects of three-phase-lag on two-temperature generalized thermoelasticity for infinite medium with spherical cavity

S Banik, M Kanoria - Applied Mathematics and Mechanics, 2012 - Springer
The thermoelastic interaction for the three-phase-lag (TPL) heat equation in an isotropic
infinite elastic body with a spherical cavity is studied by two-temperature generalized …

Modified three-phase-lag Green–Naghdi models for thermomechanical waves in an axisymmetric annular disk

M Sobhy, AM Zenkour - Journal of Thermal Stresses, 2020 - Taylor & Francis
A novel modification for Green and Naghdi thermoelasticity model of type III is proposed in
this article. This model is joined to other ones to treat a thermoelastic wave propagation …

[HTML][HTML] Generalized thermo-visco-elastic problem of a spherical shell with three-phase-lag effect

A Kar, M Kanoria - Applied Mathematical Modelling, 2009 - Elsevier
This problem deals with the thermo-visco-elastic interaction due to step input of temperature
on the stress free boundaries of a homogeneous visco-elastic isotropic spherical shell in the …

Generalized thermoviscoelastic interaction due to periodically varying heat source with three-phase-lag effect

M Kanoria, SH Mallik - European Journal of Mechanics-A/Solids, 2010 - Elsevier
The present paper aims at studying the thermo-visco-elastic interaction in a homogeneous,
infinite Kelvin-Voigt-type viscoelastic, thermally conducting medium due to the presence of …

[PDF][PDF] The influence of two temperature generalized thermoelastic diffusion inside a spherical shell

D Bhattacharya, M Kanoria - International Journal of Engineering …, 2014 - researchgate.net
In this investigation, the problem of elasto-thermo-diffusion interaction insider a spherical
shell is concerned in the context of the mechanism of two temperature generalized …

Time-fractional radial heat conduction in a cylinder and associated thermal stresses

Y Povstenko - Archive of Applied Mechanics, 2012 - Springer
The theory of thermal stresses based on the heat conduction equation with the Caputo time-
fractional derivative of order 0< α≤ 2 is used to investigate axisymmetic thermal stresses in …

Magneto-thermoelastic response in a functionally graded rotating medium due to a periodically varying heat source

P Pal, P Das, M Kanoria - Acta Mechanica, 2015 - Springer
This paper deals with the problem of magneto-thermoelastic interactions in a functionally
graded isotropic, unbounded, rotating medium due to a periodically varying heat source in …