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Acta Mechanica
Published in: Acta Mechanica 9/2021

21-06-2021 | Original Paper

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

Authors: Ankit Bajpai, P. K. Sharma, Rajneesh Kumar

Published in: Acta Mechanica | Issue 9/2021

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Abstract

This article describes the impacts of variable thermal conductivity and diffusivity on an infinite thermoelastic diffusion circular plate of finite width with a heat source due to axisymmetric thermal and chemical potential loadings in the light of two-temperature generalized thermoelastic diffusion theory. The thermal conductivity and diffusivity are assumed to be linear functions of thermodynamic temperature and concentration, respectively. The governing equations are transformed into the linear form by applying Kirchhoff’s transform. These equations are solved by using the Laplace–Hankel transform technique. In the transformed region, the closed form expressions for conductive and thermodynamic temperatures, displacement and stress components, concentration, and chemical potential are obtained. To transform the solutions to the original domain, a numerical inversion technique is applied. Numerical results for thermodynamic and conductive temperatures, normal stress component, and chemical potential are depicted graphically to illustrate the impacts of two temperatures, ramping time parameter, variable thermal conductivity and diffusivity. A validation of the obtained results is also presented.
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Metadata
Title
Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity
Authors
Ankit Bajpai
P. K. Sharma
Rajneesh Kumar
Publication date
21-06-2021
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 9/2021
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-021-03017-1

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