On the analytical and finite element solution of plane contact problem of a rigid cylindrical punch sliding over a functionally graded orthotropic medium

Guler M. A., KÜÇÜKSUCU A., YILMAZ K. B., YILDIRIM B.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, cilt.120, ss.12-29, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 120
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.ijmecsci.2016.11.004
  • Dergi Adı: INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.12-29
  • Anahtar Kelimeler: Contact mechanics, Sliding contact, Singular integral equations, FGM Friction Finite element analysis, ELASTIC HALF-SPACE, FRICTIONAL CONTACT, DAMAGE RESISTANCE, LAYER-SUBSTRATE, CRACK PROBLEM, COATINGS, GRADIENTS, MECHANICS, SOLIDS, MODULUS
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This study investigates the plane frictional contact problem of a cylindrical punch on a functionally graded orthotropic medium (FGOM). Both analytical and computational methods are developed to obtain the contact stresses. The elastic modulus is assumed to vary exponentially and the principal axes of orthotropy are assumed to be aligned with the global coordinates. In the analytical formulation, plane elasticity equations are converted to Cauchy-type singular integral equation of the second type by using Fourier Transform technique. The resulting integral equations are then solved numerically to obtain the contact stresses throughout the medium for plane stress condition. In the computational model, the elastic modulus of each finite element is specified at its centroid by using the predefined.functional variation. The results obtained from the finite element analysis is verified by comparing the results obtained using the analytical formulation. The results of this study can guide tribology engineers in determining the contact stresses that have a great effect on the wear resistance of mating components.