Analytical solution to continuous contact problem for a functionally graded layer loaded through two dissimilar rigid punches

Polat A., Kaya Y., ÖZŞAHİN T. Ş.

MECCANICA, cilt.53, sa.14, ss.3565-3577, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 14
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11012-018-0902-7
  • Dergi Adı: MECCANICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3565-3577
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

A continuous contact problem of functionally graded layer resting on an elastic semi-infinite plane, which is loaded with through two different blocks is addressed in this study. The elasticity theory and integral transformation techniques are used in solution of the problem. The problem is reduced to a system of singular integral equations, and solved numerically by the aid of appropriate Gauss-Chebyshev integration formula. It is assumed that the elastic semi-infinite homogeneous plane is isotropic and all surfaces are frictionless and continuous. The shear modulus and the mass density of the FG layer vary exponentially along the thickness direction.