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TECHNICAL PAPERS

Friction Reduction in the Sliding of an Elastic Half-Space Against a Rigid Surface Due to Incident Rectangular Dilatational Waves

[+] Author and Article Information
George G. Adams

Department of Mechanical Engineering, Northeastern University, Boston, MA 02115e-mail: adams@neu.edu

J. Tribol 122(1), 10-15 (Jun 09, 1999) (6 pages) doi:10.1115/1.555368 History: Received February 04, 1999; Revised June 09, 1999
Copyright © 2000 by ASME
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References

Martins,  J. A. C., Guimarães,  J., and Faria,  L. O., 1995, “Dynamic Surface Solutions in Linear Elasticity and Viscoelasticity With Frictional Boundary Conditions.” ASME J. Vibr. Acoust., 117, pp. 445–451.
Schallamach,  A., 1971, “How Does Rubber Slide?,” Wear, 17, pp. 301–312.
Adams,  G. G., 1995, “Self-Excited Oscillations of Two Elastic Half-Spaces Sliding With a Constant Coefficient of Friction,” ASME J. Appl. Mech., 62, pp. 867–872.
Martins,  J. A. C., Oden,  J. T., and Simões,  F. M. F., 1990, “A Study of Static and Kinetic Friction,” Int. J. Eng. Sci., 28, pp. 29–92.
Comninou,  M., and Dundurs,  J., 1978, “Elastic Interface Waves and Sliding Between Two Solids,” ASME J. Appl. Mech., 45, pp. 325–330.
Adams,  G. G., 1998, “Steady Sliding of Two Elastic Half-Spaces With Friction Reduction Due to Interface Stick-Slip,” ASME J. Appl. Mech., 65, pp. 470–475.
Adams G. G., 1999, “Radiation of Body Waves Induced by the Sliding of an Elastic Half-Space Against a Rigid Surface,” ASME Journal of Applied Mechanics, accepted for publication.
Comninou  M., and Dundurs  J., 1977, “Reflection From a Rigid Boundary Involving Separation,” ASCE J. Engin. Mech. Div., EM2, pp. 285–294.
Comninou,  M., and Dundurs,  J., 1977, “Reflexion and Refraction of Elastic Waves in Presence of Separation,” Proc. R. Soc. London, Ser. A, 356, pp. 509–528.
Comninou,  M., and Dundurs,  J., 1979, “Interaction of Elastic Waves With a Unilateral Interface,” Proc. R. Soc. London, Ser. A, 368, pp. 141–154.
Comninou,  M., and Dundurs,  J., 1982, “Disturbance at a Frictional Interface Caused by a Plane Elastic Pulse,” ASME J. Appl. Mech., 49, pp. 361–365.
Miller,  R. K., and Tran,  H. T., 1981, “Reflection, Refraction, and Absorption of Elastic Waves at a Frictional Interface: P and SV Motion,” ASME J. Appl. Mech., 48, pp. 155–160.
Graff, K. F., 1975, Wave Motion in Elastic Solids. Ohio State University Press, Columbus, Ohio.

Figures

Grahic Jump Location
An elastic half-space sliding against a rigid surface under the influence of an incident dilatational wave
Grahic Jump Location
The parameter α versus the angle θ0 of the incident wave, for ν=0.3 and for various positive values of the friction coefficient μ
Grahic Jump Location
The parameter α versus the angle θ0 of the incident wave, for ν=0.3 and for various negative values of the friction coefficient μ
Grahic Jump Location
The parameter γ=(V0/c2)/(−σa/G) versus the angle θ0 of the incident wave, for ν=0.3 and for various positive values of the friction coefficient μ
Grahic Jump Location
The parameter γ=(V0/c2)/(−σa/G) versus the angle θ0 of the incident wave, for ν=0.3 and for various negative values of the friction coefficient μ
Grahic Jump Location
Apparent friction coefficient (μ*) versus wave friction coefficient (μ) for θ0=30°,aσa/p*(π−a)=−0.2,ν=0.3, and for various values of interface friction μ̄
Grahic Jump Location
Apparent friction coefficient (μ*) versus parameter γ=(V0/c2)/(−σa/p*) for θ0=30°,aσa/p*(π−a)=−0.2,ν=0.3, and for various values of interface friction μ̄
Grahic Jump Location
Apparent friction coefficient (μ*) versus wave friction coefficient (μ) for θ0=60°,aσa/p*(π−a)=−0.2,ν=0.3, and for various values of interface friction μ̄
Grahic Jump Location
Apparent friction coefficient (μ*) versus parameter γ=(V0/c2)/(−σa/p*) for θ0=60°,aσa/p*(π−a)=−0.2,ν=0.3, and for various values of interface friction μ̄

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