Analytical solution for coupled non-Fickian diffusion-thermoelasticity and thermoelastic wave propagation analysis

Document Type : Article

Authors

1 Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, PO Box: 91775-1111, Mashhad, Iran

2 Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, PO Box: 91775-1111, Mashhad, Iran

3 Lean Production Engineering Research Center, Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, P.O. Box 91775-1111, Iran

Abstract

The time history analysis and propagation of molar concentration, temperature and displacement waves are studied in details using an analytical method. The method is applied to coupled non-Fickian diffusion-thermoelasticity analysis of a strip. The governing equations are derived using non-Fickian theory of diffusion and classic theories for coupled thermoelasticity. Molar concentration and thermoelastic wave propagations are considered to be of finite speed. The governing equations are first transferred to the frequency domain using Laplace transform technique. The unknown parameters are then obtained in analytical forms proposed by the presented method. By employing the Talbot technique, the unknown parameters are eventually determined in time domain. It can be concluded that the presented analytical method has a high capability for dynamic and transient analysis of coupled diffusion-thermoelasticity problems. The wave fronts in displacement, temperature and molar concentration fields can be tracked at various time instants employing the presented analytical method.

Keywords

Main Subjects

References

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Scientia Iranica
Volume 25, Issue 4 - Serial Number 4
Transactions on Mechanical Engineering (B)
July and August 2018
Pages 2077-2086

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History

  • Receive Date: 07 January 2016
  • Revise Date: 24 June 2017
  • Accept Date: 13 August 2017

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