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TECHNICAL PAPERS

Thermoelastic Asperity Contacts, Frictional Shear, and Parameter Correlations

[+] Author and Article Information
Geng Liu, Qian Wang

Mechanical Engineering Department, Northwestern University, Evanston, IL 60208

J. Tribol 122(1), 300-307 (Jul 21, 1999) (8 pages) doi:10.1115/1.555357 History: Received March 01, 1999; Revised July 21, 1999
Copyright © 2000 by ASME
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References

Lee,  S. C., and Ren,  N., 1996, “Behavior of Elastic-Plastic Rough Surface Contact as Affected by Surface Topography, Load, and Material Hardness,” Tribol. Trans., 39, pp. 16–71.
Bailey,  D. M., and Sayles,  R. S., 1991, “Effect of Roughness and Sliding Friction on Contact Stresses,” ASME J. Tribol., 113, pp. 729–738.
Lee,  S. C., and Ren,  N., 1994, “The Subsurface Stress Field Created by Three-Dimensional Rough Bodies in Contact with Traction,” Tribol. Trans., 37, pp. 615–621.
Kral,  E. R., and Komvopoulos,  K., 1997, “Three-Dimensional Finite Element Analysis of Subsurface Stress and Strain Fields Due to Sliding Contact on an Elastic-Plastic Layered Medium,” ASME J. Tribol., 119, pp. 332–341.
Merriman,  T., and Kannel,  J., 1989, “Analyses of the Role of Surface Roughness on Contact Stresses Between Elastic Cylinders With and Without Soft Surface Coating,” ASME J. Tribol., 111, pp. 87–94.
Kuo,  C. H., and Keer,  L. M., 1992, “Contact Stress Analysis of a Layered Transversely Isotropic Half-Space,” ASME J. Tribol., 114, pp. 253–262.
Goryacheva,  I., Sadeghi,  F., and Nickel,  D. A., 1996, “Internal Stresses in Contact of a Rough Body and a Viscoelastic Layered Semi-Infinite Plane,” ASME J. Tribol., 118, pp. 131–136.
Azarkhin,  A., Barber,  J. R., and Rolf,  R. L., 1989, “Combined Thermal-Mechanical Effects in Frictional Sliding,” Key Eng. Mater., 33, pp. 135–160.
Ting,  B. Y., and Winer,  W. O., 1989, “Frictional-Induced Thermal Influences in Elastic Contact Between Spherical Asperities,” ASME J. Tribol., 111, pp. 315–322.
Ju,  Y., and Farris,  T. N., 1997, “FFT Thermoelastic Solutions for Moving Heat Sources,” ASME J. Tribol., 119, pp. 156–162.
Lu,  C. T., and Bryant,  M. D., 1994, “Evaluation of Subsurface Stresses in a Thermal Mound with Application to Wear,” Wear, 177, pp. 15–24.
Wang, Q., and Liu, G., 1999, “A Thermoelastic Asperity Contact Model Considering Steady-State Heat Transfer,” Tribol. Trans., STLE.
Liu, G., and Wang, Q., 1999, “Contact Stress Analyses Using the Thermoelastic Asperity Contact Model,” submitted to the 54th national conference on Tribology, STLE.
Johnson, K. L., 1996, Contact Mechanics, Cambridge University Press.
Sackfield,  A., and Hills,  D., 1983, “A Note on the Hertzian Contact Problem: A Correlation of Standard Formulas,” J. Strain Anal., 18, pp. 195–197.
Sayles,  R. S., 1996, “Basic Principles of Rough Surface Contact Analysis Using Numerical Methods,” Tribol. Int., 29, pp. 639–650.

Figures

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Thermoelastic deformations (O: original profile, P: deformed due to pressure, T: further deformed due to frictional heating)
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Description of asperity contact subject to frictional heating. (a) A rough surface generated by symmetric extension of a digitized profile and the layered media. (b) Contact, frictional heating, and thermal boundaries.
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The extended model to include frictional shear. (a) The extended domain for boundary constraint coefficients. (b) The calculation domain with boundary constraint defined.
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Boundary treatment validation. (a) Von Mises stress contour, parabolic pressure and uniform fictional shear at the center of the calculation domain. (b) Von Mises stress comparison, parabolic pressure and uniform fictional shear at the center of the calculation domain. (c) Von Mises stress contour, parabolic pressure and uniform fictional shear at the edges of the calculation domain. (d) Von Mises stress comparison, parabolic pressure and uniform fictional shear at the edges of the calculation domain.
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Contours of the von Mises stresses in the uncoated medium as a result of different frictional heat input (indicated by fV) and different frictional shear (indicated by the friction coefficient, f )
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Contours of the von Mises stresses in the media with a hard coating as a result of different frictional heat input (indicated by fV) and different frictional shear (indicated by the friction coefficient, f )
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Results comparison of present model with Lee and Ren’s isothermal contact model (σy=1.65 GPa,σ=0.453 μm)
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The correlation between the average contact pressure and the average gap (σy=1.3,λ̄=0.667. Data limit: p̄a≥0.02 for fv=0.5 and fv=0.8).
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The correlation between the average contact pressure and the maximum temperature rise (σy=1.3, λ̄=0.667. Data limit: p̄a≥0.02 for fv=0.5 and fv=0.8).
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The correlation between the real area of contact and the average contact pressure (σy=1.3, λ̄=0.667. Data limit: p̄a≥0.02 for fv=0.5 and fv=0.8).

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