Exact Analysis of Dynamic Sliding Indentation at any Constant Speed on an Orthotropic or Transversely Isotropic Half-Space

[+] Author and Article Information
L. M. Brock

Mechanical Engineering, University of Kentucky, Lexington, KY 40506e-mail: brock@engr.uky.edu

J. Appl. Mech 69(3), 340-345 (May 03, 2002) (6 pages) doi:10.1115/1.1464874 History: Received April 11, 2001; Revised November 06, 2001; Online May 03, 2002
Copyright © 2002 by ASME
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Craggs,  J. W., and Roberts,  A. M., 1967, “On the Motion of a Heavy Cylinder Over the Surface of an Elastic Half-Space,” ASME J. Appl. Mech., 24, pp. 207–209.
Gerstle,  F. B., and Pearsall,  G. W., 1974, “The Stress Response of an Elastic Surface to a High-Velocity, Unlubricated Punch,” ASME J. Appl. Mech., 41, pp. 1036–1040.
Brock,  L. M., 1981, “Sliding and Indentation by a Rigid Half-Wedge With Friction and Displacement Coupling,” Int. J. Eng. Sci., 19, pp. 33–40.
Brock,  L. M., 1996, “Some Analytical Results for Heating due to Irregular Sliding Contact,” Indian J. Pure Appl. Math., 27, pp. 1257–1278.
Georgiadis,  H. G., and Barber,  J. R., 1993, “On the Super-Rayleigh/Subseismic Elastodynamic Indentation Problem,” J. Elast., 31, pp. 141–161.
Brock,  L. M., and Georgiadis,  H. G., 2000, “Sliding Contact With Friction of a Thermoelastic Solid at Subsonic, Transonic and Supersonic Speeds,” J. Therm. Stresses, 23, pp. 629–656.
Brock,  L. M., 1999, “Sliding Contact With Friction at Arbitrary Constant Speeds on a Pre-stressed Highly Elastic Half-Space,” J. Elast., 57, pp. 105–132.
Green, A. E., and Zerna, W., 1968, Theoretical Elasticity, 2nd Ed., Oxford University Press, London.
Beatty,  M. F., and Usmani,  S. A., 1975, “On the Indentation of a Highly Elastic Half-Space,” Q. J. Mech. Appl. Math., 28, pp. 47–62.
Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
Sokolnikoff, I. S., 1983, Mathematical Theory of Elasticity, Krieger, Malabar, FL.
Scott,  R. A., and Miklowitz,  J., 1967, “Transient Elastic Waves in Anisotropic Plates,” ASME J. Appl. Mech., 34, pp. 104–110.
Nye, J. F., 1957, Physical Properties of Crystals, Their Representation by Tensors and Matrices, Clarendon Press, Oxford.
Theocaris,  P. S., and Sokolis,  D. P., 2000, “Invariant Elastic Constants and Eigentensors of Orthorhombic, Tetragonal, Hexagonal and Cubic Crystalline Media,” Acta Crystallogr., A56, pp. 319–331.
Payton, R. G., 1983, Elastic Wave Propagation in Transversely Isotropic Media, Martinus Nijhoff, The Hague.
Brock,  L. M., Georgiadis,  H. G., and Hanson,  M. T., 2001, “Rapid Indentation of Transversely Isotropic or Orthotropic Half-Spaces,” ASME J. Appl. Mech., 68, pp. 490–495.
Erdogan, F., 1976, “Mixed Boundary Value Problems in Mechanics,” Mechanics Today, Vol. 4 S. Nemat-Nasser, ed., Pergamon Press, New York.
Gradshteyn, I. S., and Ryzhik, I. M., 1980, Table of Integrals, Series and Products, Academic Press, San Diego, CA.
Brock,  L. M., 1999, “Rapid Sliding Indentation With Friction of a Pre-stressed Thermoelastic Material,” J. Elast., 53, pp. 161–188.
van der Pol, B., and Bremmer, H., 1950, Operational Calculus Based on the Two-Sided Laplace Integral, Cambridge University Press, London.
Brock,  L. M., 1998, “Analytical Results for Roots of Two irrational Functions in Elastic Wave Propagation,” J. Aust. Math. Soc. B, Appl. Math., B40, pp. 72–79.
Norris,  A. N., and Achenbach,  J. D., 1984, “Elastic Wave Diffraction by a Semi-infinite Crack in a Transversely Isotropic Material,” Q. J. Mech. Appl. Math., 37, pp. 565–580.
Carrier, G. F., and Pearson, C. E., 1988, Partial Differential Equations, 2nd Ed., Academic Press, San Diego, CA.


Grahic Jump Location
Schematic of sliding rigid indentation
Grahic Jump Location
(a) Surface deformation schematic for subcritical sliding; (b) surface deformation schematic for physically unacceptable sliding.
Grahic Jump Location
Surface deformation schematic for supersonic sliding and for the single allowable transonic speed



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