Study on steady-state thermal conduction with singularities in multi-material composites

X.F. Hu, H.Y. Gao, W.A. Yao, S.T. Yang

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10 Citations (Scopus)
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Increasing demand in material and mechanical properties has led to production of complex composite structures. The composite structures, made of different materials, possess a variety of properties derived from each material. This has brought challenges in both analytical and numerical studies in thermal conduction which is of significant importance for thermoelastic problems. Therefore, a unified and effective approach would be desirable. The present study makes a first attempt to determining the analytical symplectic eigen solution for steady-state thermal conduction problem of multi-material crack. Based on the obtained symplectic eigen solution (including higher order expanding eigen solution terms), a new symplectic analytical singular element (SASE) for numerical modeling is constructed. It is concluded that composite structures composed of multi-material with complex geometric shapes can be modeled by the developed method, and the generalized flux intensity factors (GFIFs) can be solved accurately and efficiently.
Original languageEnglish
Pages (from-to)861-870
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Early online date13 Sep 2016
Publication statusPublished - 31 Jan 2017



  • symplectic dual approach
  • generalized flux intensity factor
  • multi-material crack
  • steady-state thermal conduction

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