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, United States Of America, 15 - 18 October 2006, vol.973, pp.784-785 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 973
  • City: Hawaii
  • Country: United States Of America
  • Page Numbers: pp.784-785
  • Keywords: FGM coatings, contact stresses, circular stamp, singular integral equations, MECHANICS, COATINGS
  • Middle East Technical University Affiliated: Yes


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.