The present paper is dealing with the propagation of Rayleigh surface waves in a homogeneous transversely isotropic medium .This thermo-dynamical analysis is carried out in the context of three-phase-lags thermoelasticity model. Three phase lag model is very much useful in the problems of nuclear boiling, exothermic catalytic reactions, phonon-electron interactions, phonon scattering etc. The n...

In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models II and III (i.e., the models which predicts the...

The present study provides a theoretical estimate for the thermal stress distribution and displacement vector inside nano-thick infinite plate due to an exponentially temporal decaying boundary heating on front surface of elastic plate. is in form circular ring; therefore, axisymmetric formulation adopted. Three different hyperbolic models transport are considered: Maxwell-Cattaneo-Vernotte (MC...

A new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of dual-phase-lag heat conduction with fractional orders. The theory is then adopted to study thermoelastic interaction in an isotropic homogenous semi-infinite generalized thermoelastic solids with variable thermal conductivity whose boundary is subjected to thermal and mechanical ...

Abstract This paper aims to examine the influence of gravity on a thermoelastic micro‐elongated layer when piezoelectric is above it, utilizing theory Lord–Shulman (L–S) and also model dual‐phase‐lag (DPL). A partial differential equation was transformed into an ordinary using normal mode analysis. Aluminum epoxy numerical computations are carried out, results presented in graphical format. The...