The frictional contact problem of sliding rigid parabolic stamps on graded materials

GÜLER M. A. , Erdogan F., DAĞ S.

9th International Conference on Multiscale and Functionally Graded Materials, Hawaii, Amerika Birleşik Devletleri, 15 - 18 Ekim 2006, cilt.973, ss.784-785 identifier

  • Cilt numarası: 973
  • Basıldığı Şehir: Hawaii
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.784-785


This study presents an analytical procedure to determine the contact stress distribution at the surface of an FGM coating perfectly bonded to a homogeneous substrate. The coating is assumed to be loaded by a rigid stamp of a semi-circular or circular profile. Using Fourier transformations, the contact mechanics problems are reduced to a singular integral equation of the second kind. Singular behavior of the unknown contact stress distribution at the end points is determined by following a function theoretic method. The singular integral equation is solved numerically using an expansion-col location technique. Main results of the study are the normal and lateral contact stress components and required contact forces as functions of material parameters. It is shown that a substrate that is softer than the FGM coating could be useful in decreasing the magnitude of the positive lateral stress at the trailing end of the contact.