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On the Relationship Between Wear and Thermal Response in Sliding Systems

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Abstract

Experimental results reveal that the temperature rise of two contacting bodies in relative sliding motion is related to the wear rate. Experimental wear tests pertain to a ring-on-ring configuration for two sets of contacting materials: Bronze SAE 40 on Steel 4140 and 70-30 Brass on Steel 4140. Temperature variation within the contacting bodies during the tests is measured using a thermocouple. It is shown that the temperature of the interface can effectively characterize the steady-state wear. The results of the present approach are verified by calculating Archard’s wear coefficient using the relationships derived in this paper and compared to published values in literature.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Louisiana State University, 2508 Patrick Taylor Hall, Baton Rogue, LA, 70803, USA

    M. Amiri, M. M. Khonsari & S. Brahmeshwarkar

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  1. M. Amiri
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  2. M. M. Khonsari
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  3. S. Brahmeshwarkar
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Correspondence to M. M. Khonsari.

Appendix 1: Error Analysis

Appendix 1: Error Analysis

An uncertainty analysis performed using the method of Kline and McClintock [27]. This method uses the relative uncertainty in various primary experimental measurements to estimate the uncertainty of the final result. If the result of an experiment, R, assumed to be calculated from M independent parameters, \( z_{ 1} ,\;z_{ 2} ,\ldots ,\;z_{M} \) then the uncertainty propagated into the result, δR is:

$$ \delta R = \sqrt {\sum\limits_{i = 1}^{M} {\left( {{\frac{\partial R}{{\partial z_{i} }}}\delta z_{i} } \right)}^{ 2} } , $$
(14)

where \( \delta z_{ 1} ,\;\delta z_{ 2} ,\ldots ,\;\delta z_{M} \) are the uncertainties of the independent parameters. Applying Eq. 14 to Eq. 11 gives:

$$ \delta K = \sqrt {\left( {{\frac{\partial K}{{\partial \dot{w}}}}\delta \dot{w}} \right)^{ 2} + \left( {{\frac{\partial K}{{\partial \left( {\Updelta T} \right)}}}\delta \left( {\Updelta T} \right)} \right)^{ 2} } . $$
(15)

It is to be noted that in the present error analysis, the uncertainties associated with wear rate, \( \dot{w}, \) and temperature, T, measurements are only taken into account. The uncertainties associated with other parameters in Eq. 11 are neglected. The sensitivity coefficients in Eq. 15 can be obtained by differentiating Eq. 11 with respect to \( \dot{w} \) and ∆T:

$$ {\frac{\delta K}{K}} = \sqrt {\left( {{\frac{{\delta \dot{w}}}{{\dot{w}}}}} \right)^{ 2} + \left( {{\frac{{\delta \left( {\Updelta T} \right)}}{\Updelta T}}} \right)^{ 2} } . $$
(16)

A typical calculation for the test with \( \dot{w} = 41.7\; \times 10^{ - 3}\,\mu{\text{m/s}}\) and \( \Updelta T = 3.2\;^\circ {\text{C}} \) results in:

$$ {\frac{\delta K}{K}} = \sqrt {0.06 \times 10^{ - 4} + 9.7 \times 10^{ - 4} } \approx \pm 3.1\% $$

uncertainty associated with the wear coefficient. The method of error analysis has been carried out for all the experimental data. The calculations show that the maximum uncertainty for wear coefficient is ±7.3%.

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Amiri, M., Khonsari, M.M. & Brahmeshwarkar, S. On the Relationship Between Wear and Thermal Response in Sliding Systems. Tribol Lett 38, 147–154 (2010). https://doi.org/10.1007/s11249-010-9584-6

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