Vol. 7, No. 4, 2012

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–649
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
Elastic solution in a functionally graded coating subjected to a concentrated force

Roberta Sburlati

Vol. 7 (2012), No. 4, 401–412

Functionally graded materials are currently being actively explored in coating design to reduce the mismatch of thermomechanical properties at the interface and thus increase the resistance of coatings to fracture mechanisms. Many established and potential applications of graded materials involve contact or impact problems that are primarily load transfer problems; consequently, the goal is to study basic elasticity problems for graded inhomogeneous solids. Here we study the three-dimensional elastic deformation of a graded coating subjected to a point load on the free surface, deposited on a homogeneous elastic half-space. By assuming an isotropic coating for which Young’s modulus depends exponentially on the thickness and Poisson’s ratio is constant, the elastic solution is obtained using Plevako’s representation, which reduces the problem to the construction of a potential function satisfying a linear fourth-order partial differential equation. We explicitly obtain the elastic solution for the coating and the substrate for two different interface conditions: the frictionless case and the perfectly bonded case. A comparative study of FGMs and homogeneous coatings is presented to investigate the effect of the graded coating properties.

elasticity, coating, functionally graded materials
Received: 31 January 2012
Revised: 17 March 2012
Accepted: 5 April 2012
Published: 1 August 2012
Roberta Sburlati
Department of Civil, Environmental and Architectural Engineering (DICAT)
and Research Center for Materials Science and Technology (MaST)
University of Genova
Via Montallegro 1
16145 Genova