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...

Plane time-harmonic waves with assigned wavelength are supposed to propagate in an infinite linear thermoelastic space: The thermodynamic response is framed into the time differential dual-phase-lag model, while Cowin–Nunziato theory used depict effect of porosity for elastic part. We able show that it possible identify two shear waves, undamped and not affected by and/or temperature, as well f...

We analyze an extension of the dual-phase lag model thermal diffusion theory to accurately predict contribution thermoelastic bending (TE) Photoacoustic (PA) signal in a transmission configuration. To achieve this, we adopt particular case Jeffrey’s equation, Generalized Cattaneo Equations (GCEs). Obtaining temperature distribution by incorporating effects fractional differential operators enab...

This paper aims to present a Lord-Shulman theory of one relaxation time and the dual-phase-lag model two-relaxation times study effect gravity on both micro-elongated thermoelasticity layer elastic in above. The normal mode analysis was used obtain expressions displacement components, micro-elongational scalar, stress components. Comparisons between physical quantities were getting numerically ...

Thermoelastic modeling at nanoscale is becoming more important as devices shrink and heat sources are widely used in modern industries, such nanoelectromechanical systems. However, the conventional thermoelastic theories no longer applicable high-temperature settings. This study provides an insight into thermomechanical features of a nonlocal viscous half-space exposed to cyclic source. Using n...

This paper estimated the problem of one-dimensional generalized thermoelastic half-space in medium considering two models: Lord and Shulman (LS) model Dual-Phase-Lag (DPL) model. We assumed that surface was free from traction force under an exponentially varying external heat source at boundary with time. The technique homotopy perturbation has been applied to find approximate solution for inte...

In this work, a new mathematical model of thermoelasticity theory has been considered in the context of a new consideration of heat conduction with fractional order theory. A functionally graded isotropic unbounded medium is considered subjected to a periodically varying heat source in the context of space-time non-local generalization of three-phase-lag thermoelastic model and Green-Naghdi mod...