Analysis of one-dimensional hyperbolic heat conduction in a functionally graded thin plate

Mohammad Reza Raveshi, Shayan Amiri, Ali Keshavarz

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

1 Citation (Scopus)


This paper presents the analytical solution of one-dimensional non-Fourier heat conduction problem for a finite plate made of functionally graded material. To investigate the influence of material properties variation, exponential space-dependant functions of thermal conductivity and specific heat capacity are considered. The problem is solved analytically in the Laplace domain, and the final results in the time domain are obtained using numerical inversion of the Laplace transform. The trial solution method with collocation optimizing criterion has been applied to solve the hyperbolic heat conduction equation based on polynomial shape function approximation. Due to the reflection and interaction of the thermal waves, the temperature peak happens on the insulated wall of the FGM plate, so the major aim of this paper is to find the amount of temperature peak and the time at which it happens. It has been shown that the dimensionless temperature peak and its happening time increase along with an increase in the dimensionless relaxation time. The results are validated by comparison with the results from an exact available solution solved at special case which shows a close agreement.

Original languageEnglish
Title of host publicationASME/JSME 2011 8th Thermal Engineering Joint Conference, AJTEC 2011
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)9780791838921
Publication statusPublished - 2011
Externally publishedYes
EventASME/JSME Thermal Engineering Joint Conference 2011 - Honolulu, United States of America
Duration: 13 Mar 201117 Mar 2011
Conference number: 8th (Proceedings)


ConferenceASME/JSME Thermal Engineering Joint Conference 2011
Abbreviated titleASME/JSME 2011
Country/TerritoryUnited States of America
Internet address


  • Exponential space-dependant function
  • FGM
  • Finite plate
  • Hyperbolic heat conduction
  • One-dimensional
  • Trial solution

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