Effect of nonhomogeneity on the contact of an isotropic half-space and a rigid base with an axially symmetric recess

Abstract

We study an axially symmetric frictionless contact problem between a nonhomogeneous elastic halfspace and a rigid base that has a small axisymmetric surface recess. We reduce the problem to solving Fredholm integral equations, solve these equations numerically, and establish a relationship between the applied pressure and the gap radius. We find and graph the effects of nonhomogeneity on the normal pressure, critical pressure and on the surface displacement.

Frictionless Contact Between a Rigid Indentor and a Transversely Isotropic Functionally Graded Layer

“…Owing to their applications in a great variety of structural systems, such as foundations, pavements in roads and runways, automotive disk brake systems and in many other technological applications, considerable progress has been made with the analysis of contact problems in solid mechanics. Among several works done, we may mention a few: Johnson [2]; Gladwell [3]; Hills et al [4]; Raous et al [5]; Barik et al [6,7,8]; Chaudhuri and Ray [9]; Comez et al [10,11]; Gecit [12]; Fabrikant [13]. Various types of contact problems are discussed in books and journals, e.g.…”