Generalized coupled non-Fickian/non-Fourierian diffusion-thermoelasticity analysis subjected to shock loading using analytical method

  • Hosseini, Seyed Amin (Mechanical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad) ;
  • Abolbashari, Mohammad Hossein (Department of Mechanical Engineering, Lean Production Engineering Research Center, Ferdowsi University of Mashhad) ;
  • Hosseini, Seyed Mahmoud (Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad)
  • Received : 2016.02.11
  • Accepted : 2016.09.09
  • Published : 2016.11.10


In this article, the generalized coupled non-Fickian diffusion-thermoelasticity analysis is carried out using an analytical method. The transient behaviors of field variables, including mass concentration, temperature and displacement are studied in a strip, which is subjected to shock loading. The governing equations are derived using generalized coupled non-Fickian diffusion-thermoelasticity theory, which is based on Lord-Shulman theory of coupled thermoelasticity. The governing equations are transferred to the frequency domain using Laplace transform technique and then the field variables are obtained in analytical forms using the presented method. The field variables are eventually determined in time domain by employing the Talbot technique. The dynamic behaviors of mass concentration, temperature and displacement are studied in details. It is concluded that the presented analytical method has a high capability for simulating the wave propagation with finite speed in mass concentration field as well as for tracking thermoelastic waves. Furthermore, the obtained results are more realistic than that of others.


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