An inverse problem in estimating the space-dependent thermal conductivity of a functionally graded hollow cylinder

Wen Lih Chen, Huann Ming Chou, Yu Ching Yang

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to estimate the unknown space-dependent thermal conductivity of a functionally graded hollow cylinder. Two different boundary condition types are discussed. The results show that boundary condition type is very crucial to the success of the inverse method. For the case studied here, the inverse method works in conjunction with heat flux specified at the inner wall and convective heat transfer condition at the outer wall but not with constant temperatures specified at both inner and outer walls. The effect of measurement error and sensor number on the estimation accuracy is also investigated. The method can be developed into an accurate, simple, and inexpensive technique for the quality control during the manufacture of functionally graded materials.

Original languageEnglish
Pages (from-to)112-119
Number of pages8
JournalComposites Part B: Engineering
Volume50
DOIs
Publication statusPublished - 2013 Jul 1

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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