The initial stress effect on a thermoelastic micro-elongated solid under the dual-phase-lag model

Study of micro‐elongated thermoelastic medium loaded with a piezoelectric layer under the influence of gravity using the dual‐phase‐lag model

“…The analysis was applied for aluminum epoxy-like material with the following parameters and characteristics 35 :…”

“…The analysis was applied for aluminum epoxy‐like material with the following parameters and characteristics 35 : $$$\begin{array}{c}\lambda =7.59\times {10}^{10}\ {\rm{N}}/{{\rm{m}}}^{2},\mu =1.89\times {10}^{10}\ {\rm{N}}/{{\rm{m}}}^{2},\\ {a}_{0}=0.61\times {10}^{-10}\ {\rm{N}},\rho =2.19\times {10}^{3}\ \mathrm{kg}/{{\rm{m}}}^{3},\\ {\beta }_{0}={\beta }_{1}=0.05\times {10}^{5}\ {\rm{N}}/\left((,{{\rm{m}}}^{2}\cdot {\rm{K}},)\right),{c}_{e}=966\unicode{x0200A}{\rm{J}}/\left((,{\rm{kg}}\cdot {\rm{K}},)\right),\\ k=252\unicode{x0200A}{\rm{J}}/\left((,{\rm{m}}\cdot {\rm{s}}\cdot {\rm{K}},)\right),{j}_{0}=0.196\times {10}^{-4}\unicode{x0200A}{...$$…”

“…We can obtain the equations that the parameters obey from the previous boundary conditions (34) and (35). As a result, 10…”

The gravitational field effect on a micro-elongated thermoelastic layer under a fluid load with two theories

“…The system of governing equations of a micro-elongated thermoelasticity in a DPL model can be written as Tzou (1995) and Othman et al. (2021a, b).…”