Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity

Bajpai, Ankit; Sharma, Pawan Kumar; Kumar, Rajneesh

doi:10.1007/s00707-021-03017-1

Cited by 11 publications

(1 citation statement)

References 43 publications

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“…For the purpose of numerical computation, the material constants of the problem are taken from Bajpai et al. [43]

$$\begin{eqnarray*} &&\nonumber \lambda =7.76\times {10^{10}}Nm^{-2}...

…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

Sheokand,

Deswal,

Choudhary

et al. 2024

Z Angew Math Mech

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The present investigation is concerned with the reflection phenomena of plane waves in a homogeneous, isotropic, nonlocal, photothermoelastic semiconducting medium under the effects of double porosity, variable thermal conductivity and mass diffusivity. The formulation is applied to generalized thermoelasticity based on the Lord–Shulman theory. The problem is solved analytically and it is shown that there exist six coupled longitudinal waves in addition to an independent transverse wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have been calculated analytically and computed numerically for a specific material with the help of MATLAB programming. The numerical results of reflection coefficients are presented graphically to show the effects of double porosity, photothermal transport process, nonlocality, variable thermal conductivity and mass diffusivity. It is verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence and there is no energy dissipation at the boundary surface. Some special cases of interest have also been inferred from the current investigation.

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“…For the purpose of numerical computation, the material constants of the problem are taken from Bajpai et al. [43]

$$\begin{eqnarray*} &&\nonumber \lambda =7.76\times {10^{10}}Nm^{-2}...

…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

Sheokand,

Deswal,

Choudhary

et al. 2024

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

Memory response of hyperbolic two-temperature thermoelastic diffusive half-space with variable material properties

2022

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Thermal effect on the transient waves in piezoelectric half-space subjected to dynamic loading

Zhou

Shui

2022

Arch Appl Mech

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Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity

Cited by 11 publications

References 43 publications

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

Memory response of hyperbolic two-temperature thermoelastic diffusive half-space with variable material properties

Thermal effect on the transient waves in piezoelectric half-space subjected to dynamic loading

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