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TECHNICAL PAPERS

Radiation of Body Waves Induced by the Sliding of an Elastic Half-Space Against a Rigid Surface

[+] Author and Article Information
G. G. Adams

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

J. Appl. Mech 67(1), 1-5 (Mar 31, 1999) (5 pages) doi:10.1115/1.321144 History: Received January 12, 1999; Revised March 31, 1999
Copyright © 2000 by ASME
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References

Stoneley,  R., 1924, “Elastic Waves at the Surface of Separation of Two Solids,” Proc. R. Soc. London, Ser. A, 106, pp. 416–428.
Achenbach,  J. D., and Epstein,  H. I., 1967, “Dynamic Interaction of a Layer and a Half-Space,” J. Eng. Mech. Div., Am. Soc. Civ. Eng., EM5, pp. 27–42.
Comninou,  M., and Dundurs,  J., 1977, “Elastic Interface Waves Involving Separation,” ASME J. Appl. Mech., 44, pp. 222–226.
Comninou,  M., and Dundurs,  J., 1978, “Elastic Interface Waves and Sliding Between Two Solids,” ASME J. Appl. Mech., 45, pp. 325–330.
Freund,  L. B., 1978, “Elastic Waves Involving Separation,” discussion ASME J. Appl. Mech., 45, pp. 226–228.
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.
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.
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.
Rice,  J. R., 1997, “Slip Pulse at Low Driving Stress Along a Frictional Fault Between Dissimilar Media,” EOS Trans. Am. Geophys. Union, 78, No. 46, Fall Meeting Suppl., p. F464.
Weertman,  J., 1980, “Unstable Slippage Across a Fault That Separates Elastic Media of Different Elastic Constants,” J. Geophys. Res., 85, pp. 1455–1461.
Andrews,  D. J., and Ben-Zion,  Y., 1997, “Wrinkle-Like Slip Pulse on a Fault Between Different Materials,” J. Geophys. Res., 102, pp. 553–571.
Graff, K. F., 1975, Wave Motion in Elastic Solids, Ohio State University Press, Columbus, Ohio.
Rabinowicz, E., 1995, Friction and Wear of Materials, 2nd Ed., John Wiley & Sons, New York.
Rosakis, A., 1998, “Dynamic Shear-Dominated Intersonic and Supersonic Crack Growth in Bimaterials and Layered Systems,” Applied Mechanics Colloquium, Harvard University, Nov. 13.

Figures

Grahic Jump Location
An elastic half-space sliding against a rigid surface
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The angles of propagation of dilatational waves (θ1) and of shear waves (θ2) versus friction coefficient (μ) for various values of Poisson’s ratio (ν)
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The ratio of amplitudes of the shear and dilatational waves (A2/A1) versus friction coefficient for various values of Poisson’s ratio (ν)
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A rectangular wave train of tangential velocity
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The parameter α versus the wave friction coefficient (μ) for various values of Poisson’s ratio (ν)
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The slip parameter β versus the wave friction coefficient (μ) for various values of Poisson’s ratio

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