Contact problem of a functionally graded layer resting on a Winkler foundation

Comez I.

ACTA MECHANICA, cilt.224, sa.11, ss.2833-2843, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 224 Sayı: 11
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s00707-013-0903-5
  • Dergi Adı: ACTA MECHANICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2833-2843
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The contact problem for a functionally graded layer supported by a Winkler foundation is considered using linear elasticity theory in this study. The layer is loaded by means of a rigid cylindrical punch that applies a concentrated force in the normal direction. Poisson's ratio is taken as constant, and the elasticity modulus is assumed to vary exponentially through the thickness of the layer. The problem is reduced to a Cauchy-type singular integral equation with the use of Fourier integral transform technique and the boundary conditions of the problem. The numerical solution of the integral equation is performed by using Gauss-Chebyshev integration formulas. The effect of the material inhomogeneity, stiffness of the Winkler foundation and punch radius on the contact stress, the contact area and the normal stresses are given.