Temperature distribution and heat flow around a crack of arbitrary orientation in a functionally graded medium

Shang Wu Tsai, Tz Cheng Chiu, Ching Hwei Chue

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper investigates the heat transfer problem of an infinite functionally graded medium containing an arbitrarily oriented crack under uniform remote heat flux. In the mathematical treatment the crack is approximated as a perfectly insulating cut. By using Fourier transformation, the mixed boundary value problem is reduced to a Cauchy-type singular integral equation for an unknown density function. The singular integral equation is then solved by representing the density function with a Chebyshev polynomial-based series and solving the resulting linear equation using a collocation technique. The temperature field in the vicinity of the crack and the crack-tip heat flux intensity factor are presented to quantify the effect of crack orientation and grading inhomogeneity on the heat flow around the crack.

Original languageEnglish
Pages (from-to)123-137
Number of pages15
JournalJournal of Engineering Mathematics
Volume87
Issue number1
DOIs
Publication statusPublished - 2014 Aug

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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