Rapid Sliding Indentation with Friction of a Pre-Stressed Thermoelastic Material |
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Authors: | LM Brock |
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Institution: | (1) Department of Mechanical Engineering, University of Kentucky, Lexington, Kentucky, 40506, U.S.A. |
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Abstract: | A rigid indentor travels with a constant speed over the surface of an isotropic thermoelastic half-space. Friction exists
between the indentor and half-space, and the latter is initially in equilibrium at a uniform temperature under a uniform normal
pre-stress. This pre-stress, below but near yield, is assumed to produce deformations that dominate the additional deformations
due to indentation. Thus, the process is treated as one of small deformations superposed upon (relatively) large. The governing
equations for the superposed deformation are those of nonisotropic coupled thermoelasticity.
A steady-state two-dimensional study uses robust asymptotic analytical solutions to reduce the associated mixed boundary value
problem to a classical singular integral equation which can be solved analytically.
The solutions show that the pre-stress-induced de facto nonisotropy alters the values of the rotational and dilatational wave and Rayleigh speeds in the half-space and, in the case
of a compressive pre-stress, generates a second, lower, critical speed. In addition, pre-stress generates noncritical sliding
speeds at which the friction-dependent integral equation eigenvalue changes sign.
For purposes of illustration, expressions for the half-space surface temperature change and its average over the contact zone,
the equations necessary to determine contact zone size and location, the resultant moment on the indentor, and the maximum
compressive stress on the contact zone are presented for a parabolic indentor.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | |
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