Thermal constriction resistance of a strip contact spot on a thin film

Fuqian Yang, Vish Prasad, Imin Kao

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The thermal constriction resistance of a strip contact spot on a layer of material is analysed for the heat-flux specified boundary condition on the contact zone. Using Green's function, the solution of heat-conduction problems is reduced to a new type of hypersingular integral equations with a hyperbolic function kernel. The hypersingular integral equations are solved analytically, which provides closed-form solutions for the thermal constriction resistance. For a thin film and isoflux conditions over the contact zone, the thermal constriction resistance is proportional to the ratio of the film thickness to the contact width when the other side of the film is considered isothermal, whereas it is inversely proportional to this ratio for an adiabatic back. Such a large variation and reversal in trend reveals the possibility of using this method for the measurement of film thicknesses by measuring the thermal constriction resistance.

Original languageEnglish
Pages (from-to)930-936
Number of pages7
JournalJournal of Physics D: Applied Physics
Issue number8
StatePublished - Apr 21 1999

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films


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