Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Daria Andreeva, Wiktoria Miszuris, Alexander Zagnetko

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Abstract

This paper considers the problem of heat transfer in a composite ceramic material where the structural elements are bonded to the matrix via a thin heat resistant adhesive layer. The layer has the form of a circular ring or close to it. Using an asymptotic approach, the interphase is modelled by an infinitesimal imperfect interface, preserving the main features of the temperature fields around the interphase, and allowing a significant simplification where FEM analysis is concerned. The nonlinear transmission conditions that accompany such an imperfect interface are evaluated, and their accuracy is verified by means of dedicated analytical examples as well as carefully designed FEM simulations. The interphases of various geometries are analysed, with an emphasis on the influence of the curvature of their boundaries on the accuracy of the evaluated conditions. Numerical results demonstrate the benefits of the approach and its limitations.
Original languageEnglish
Pages (from-to)2283-2293
JournalJournal of the European Ceramic Society
Volume36
Issue number9
Early online date11 Feb 2016
DOIs
Publication statusPublished - 01 Aug 2016

Keywords

  • heat transfer
  • nonlinear thin interphase
  • asymptotic methods
  • transmission conditions

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