This paper is concerned with the problem of a functionally graded coated half-space indented by an axisymmetric smooth rigid punch. The shear modulus of the graded coating is assumed to be an exponential function and the Poisson’s ratio is a constant. With the use of Hankel integral transform technique, the axisymmetric frictionless contact problem is reduced to a Cauchy singular integral equation. The contact pressure, contact radius and penetration depth are calculated for various indenters by solving the equations numerically. The results show that these quantities are greatly affected by the gradient of the coating.
Contact Pressure Contact Problem Indentation Depth Singular Integral Equation Collocation Point
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.
Giannakopoulos A.E. and Suresh S. (1997). Indentation of solids with gradients in elastic properties: Part I. Point force solution. Int. J. Solids Struct. 34: 2357–2392
Giannakopoulos A.E. and Suresh S. (1997). Indentation of solids with gradients in elastic properties: Part II. Axisymetric indenters. Int. J. Solids Struct. 34: 2392–2428
Pender D.C., Padture N.P., Giannakopoulos A.E. and Suresh S. (2001). Gradients in elastic modulus for improved contact-damage resistance. Part I: The silicon nitride–oxynitride glass system. Acta Mater. 49: 3255–3262
Pender D.C. and Thompson S.C. (2001). Gradients in elastic modulus for improved contact-damage resistance. Part II: The silicon nitride–silicon carbide system. Acta Mater. 49: 3263–3268
Jorgensen O., Giannakopoulos A.E. and Suresh S. (1998). Spherical indentation of composite laminates with controlled gradients in elastic anisotropy. Int. J. Solids Struct. 35: 5097–5113
Krumova K., Klingshirn C., Haupet F. and Friedticn K. (2001). Microhardeness studies on functionally graded polymer composites. Compos. Sci. Technol. 61: 557–563
Ke L.L. and Wang Y.S. (2006). Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties. Int. J. Solids Struct. 44: 5779–5798
Ke L.L. and Wang Y.S. (2007). Two-dimensional sliding frictional contact of functionally graded materials. Eur. J. Mech. A/Solids 26: 171–188
Ozturk M. and Erdogan F. (1996). Axisymmetric crack problem in bonded materials with a graded interfacial region. Int. J. Solids Struct. 33: 193–219
Andrews G.E., Richard A. and Ranjan R. (2000). Special Functions. Cambridge University Press, London
Erdogan F. (1965). Stress distribution in bonded dissimilar materials containing circular or ring-shaped cavities. J. Appl. Mech. 32: 829–836
Erdogan F. and Gupta G.D. (1972). On the numerical solution of singular integral equations. Quart. Appl. Math. 29: 525–534
Civelek, M.B.: Doctor of Philosophy Dissertation, Mechanical Engineering Department, Lehigh University, Bethlehem (1972)Google Scholar
Ioakimidis N.I. (1980). The numerical solutions of crack problems in plane elasticity in the case of loading discontinuities. Engng. Fract. Mech. 15: 709–716