Finite Element Analysis of the Initial Yielding Behavior of a Hard Coating/Substrate System With Functionally Graded Interface Under Indentation and Friction

[+] Author and Article Information
L. S. Stephens, Yan Liu, E. I. Meletis

Mechanical Engineering Department, Louisiana State University, Baton Rouge, LA 70803

J. Tribol 122(2), 381-387 (Jul 14, 1999) (7 pages) doi:10.1115/1.555373 History: Received March 23, 1999; Revised July 14, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Grill,  A., 1993, “Review of the Tribology of Diamond-Like Carbon,” Wear, 168, Nos. 1–2, pp. 143–153.
Hamilton,  G. M., and Goodman,  L. E., 1966, “The Stress Field Created by a Circular Sliding Contact,” ASME J. Appl. Mech., 33, pp. 371–376.
Kennedy,  F. E., and Ling,  F. F., 1974, “Elasto-Plastic Indentation of a Layered Medium,” ASME J. Eng. Mater. Technol., 96, pp. 97–103.
King,  R. B., and O’Sullivan,  T. C., 1987, “Sliding Contact Stresses in a Two Dimensional Layered Elastic Half-Space,” Int. J. Solids Struct., 23, No. 5, pp. 581–597.
O’Sullivan,  T. C., and King,  R. B., 1988, “Sliding Contact Field due to a Spherical Indenter on a Layered Elastic Half-Space,” ASME J. Tribol., 110, pp. 235–240.
Komvopoulos,  K., 1989, “Elastic-Plastic Finite Element Analysis of Indented Layered Media,” ASME J. Tribol., 111, pp. 430–439.
Tian,  H., and Saka,  N., 1991, “Finite Element Analysis of an Elastic-Plastic Two-Layer Half-Space: Normal Contact,” Wear, 148, pp. 47–68.
Montmitonnet,  P., Edlinger,  M. L., and Felder,  E., 1993, “Finite Element Analysis of Elastoplastic Indentation: Part II-Application to Hard Coatings,” ASME J. Tribol., 115, pp. 15–19.
Djabella,  H., and Arnell,  R. D., 1993, “Finite Element Comparative Study of Elastic Stresses in Single, Double Layer and Multilayered Coated Systems,” Thin Solid Films, 235, pp. 156–162.
Kral,  E. R., and Komvopoulos,  K., 1996, “Three-Dimensional Finite Element Analysis of Surface Deformation and Stresses in an Elastic-Plastic Layered Medium Subjected to Indentation and Sliding Contact Loading,” ASME J. Appl. Mech., 63, pp. 365–375.
Diao,  D., and Koji,  K., 1994, “Interface Yield Map of a Hard Coating Under Sliding Contact,” Thin Solid Films, 245, pp. 115–121.
Wong,  S. K., Kapoor,  A., and Williams,  J. A., 1997, “Shakedown Limits on Coated and Engineering Surfaces,” Wear, 203–204, pp. 162–170.
Kapoor,  A., and Williams,  J. A., 1994, “Shakedown Limits in Sliding Contacts on a Surface-Hardened Half-Space,” Wear, 172, pp. 197–206.
Meletis,  E. I., Erdemir,  A., and Fenske,  G. R., 1995, “Tribological Characteristics of DLC Films and Duplex Plasma Nitriding/DLC Coating Treatments,” Surf. Coat. Technol., 73, pp. 39–45.
Voevodin,  A. A., Rebholz,  C., Schneider,  J. M., Stevenson,  P., and Matthews,  A., 1995, “Wear Resistant Coating Deposited by Electron Enhanced Close Field Unbalance Magnetron Sputtering,” Surf. Coat. Technol., 73, No. 3, pp. 185–197.
Muraleedharan,  T. M., and Meletis,  E. I., 1992, “Surface Modification of Pure Titanium and Ti-6Al-4V by Intensified Plasma Ion Nitriding,” Thin Solid Films, 221, pp. 104–113.
Liu,  Y., Erdemir,  A., and Meletis,  E. I., 1996, “A Study of the Wear Mechanism of Diamond-Like Carbon Films,” Surf. Coat. Technol., 82, pp. 48–56.
Adjaottor,  A., Ma,  E., and Meletis,  E. I., 1997, “On the Mechanism of Intensified Plasma-Assisted Processing,” Surf. Coat. Technol., 89, pp. 197–203.
Landau, L. D., and Lifshitz, E. M, 1959, Theory of Elasticity, Pergamon Press, London, p. 30.
Tamada, Y., 1970, “Dynamic Analysis of Civil Engineering Structures,” Recent Advances in Matrix Methods of Structural Analysis and Design, Gallagher, Y., Yamada, Y., and Oden, J. T., eds., University of Alabama Press, Alabama, pp. 487–512.
Smith,  J. O., and Liu,  C. K., 1953, “Stresses due to Tangential and Normal Loads on an Elastic Solid with Application to Some Contact Stress Problems,” ASME J. Appl. Mech., 20, pp. 157–166.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, England.
Diao,  D., 1996, “Local Yield Map of Hard Coating with an Interlayer under Sliding Contact,” Thin Solid Films, 290–291, pp. 221–225.
Gille,  G., and Rau,  B., 1984, “Buckling Instability and Adhesion of Carbon Layers,” Thin Solid Films, 120, pp. 109–115.
Deng,  J., and Braun,  M., 1996, “Residual Stress and Microhardness of DLC Multilayer Coatings,” Diamond Relat. Mater., 5, pp. 478–482.
Schultrich,  B., Scheibe,  H. J., Grangremy,  G., Drescher,  D., and Schneider,  D., 1996, “Elastic Modulus as a Measure of Diamond Likeness and Hardness of Amorphous Carbon Films,” Diamond Relat. Mater., 5, No. 5, pp. 914–918.
Greer, A. L., and Spacpen, F., 1985, in Synthetic Modulated Structures, Chang, L., and Giessen, B. C., eds., Academic Press, New York, p. 419.
Chen,  Y.-I., and Duh,  J.-G., 1991, “Deposition of TiN Films with Titanium Interlayer on Low-Carbon Steel by Reactive RF Magnetron Sputtering,” Surf. Coat. Technol., 46, No. 3, pp. 371–384.
Ertürk,  E., Knotek,  O., Burgmer,  W., Prengel,  H.-G., Heuvel,  H.-J., Dederiche,  H. G., and Stössel,  C., 1991, “Ti(C,N) Coatings Using the Arc Process,” Surf. Coat. Technol., 46, No. 1, pp. 39–46.
Savvides,  N., and Bell,  T. J., 1992, “Microhardness and Young’s Modulus of Diamond and Diamondlike Carbon Films,” J. Appl. Phys., 72, No. 7, pp. 2791–2796.


Grahic Jump Location
Distribution of equivalent stress at various depths in the substrate with low friction coefficient DLC coating (t/R=0.07,f=0.1)
Grahic Jump Location
Profiles of calculated equivalent stress and graded and ungraded substrate yield strength (t/R=0,f=0)
Grahic Jump Location
Location of initial yielding as a function of coating thickness (f=0.1)
Grahic Jump Location
Critical applied contact stress as a function of coating thickness (f=0.1)
Grahic Jump Location
Calculated effective stress in coating/substrate system with normalized graded and ungraded substrate yield strength superimposed (t/R=0.1,f=0.1)
Grahic Jump Location
Distribution of equivalent stress at various depth in the substrate with larger friction coefficient (t/R=0.07,f=0.25)
Grahic Jump Location
The effect of friction on the location of substrate initial yielding point
Grahic Jump Location
The effect of coating/substrate elastic modulus ratio (Ec/Es) on the location of substrate initial yielding point (f=0.1 and t/R=0.01)
Grahic Jump Location
Linear gradient in substrate elastic modulus (coating elastic modulus, Ec=433 GPa)
Grahic Jump Location
Equivalent stress profile at centerline for graded elastic modulus versus ungraded elastic modulus (f=0.1,t/R=0.02)
Grahic Jump Location
Finite element model and coordinate system for indentation and friction of elastic cylindrical indenter on a hard coating/soft substrate system
Grahic Jump Location
Comparison between analytical and finite element solutions for t/R=0 and (a) f=0 and (b) f=0.5
Grahic Jump Location
Hardness and yield strength profiles for plasma nitrided Ti–6Al–4V alloy 16




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In