We use the perturbation method to construct a solution of the plane problem of elasticity for a film-foundation composite where the film surface is weakly curved. In the case where the film surface has a periodic shape, the problem solution in each approximation is represented in terms of Fourier series with coefficients expressed in terms of quadrature. In the first approximation, we obtain the stresses on the film surface and on the interphase surface in terms of the surface curvature, the film average thickness, and the film-to-foundation Young's modulus ratio.
Original languageEnglish
Pages (from-to)778-788
JournalMechanics of Solids
Volume45
Issue number6
DOIs
StatePublished - 2010

    Research areas

  • film coating, curved surface, stress concentration

ID: 5165802