Calculate the volume loss according to the geometry of the sample. If the sample is cylindrical then use this linear loss as length (pi*r2*l ). Once wear volume is calculated then wear rate and specific wear rate can be found out easily.
There is no unambiguous definition of specific wear rate in the literature, although the volumetric wear value related to the friction work input is dominant. If we register the kinetics of the friction force during the experiment as a function of the friction distance, then the value integrated under the experimental curve gives an easy way to obtain the friction work by which volumetric wear should be divided to obtain the specific wear rate.
I guess, the linear wear corresponds to the local change of profile at a specific surface point?
In this case, the total wear volume will be the integral of the linear wear over the worn surface area. The specific wear rate is obtained by normalizing the wear volume for some appropriate quantity (sliding length, work of friction force, etc.), as was stated in previous answers.
You can evaluate the specific wear rate by dividing the applied load for the linear wear.
Specific wear rate = [(wear loss or volume loss) / ( sliding length x load)]
For example, If linear wear is in "Y" axis, "X" axis should be time or sliding distance. Now fix some time interval (1 minute) or distance (1 meter) on the "X" axis, for the chosen interval find the linear wear difference in "Y" axis. The obtained value is the wear loss or volume loss. Now, you have to divide the wear loss or volume loss by applied load.
My best wishes.
By performing 2D profilometer surface analysis of the wear area, if there is transport microstructure in this region, the solution point can be reached by subtracting the integral equation of the region.
Dear Colleague,
The specific wear rate is calculated as the ratio of the volumetric wear to the work done by the friction forces (in other words: the work of the friction forces necessary to remove the unit volume of the material). Therefore: 1) you must be able to convert linear wear into volumetric wear, 2) continuously record the friction force as a function of the friction distance (the area under the graph is equal to the friction work - there are many programs that allow you to calculate the integral of the recorded waveform, e.g. Grapher).
https://iopscience.iop.org/article/10.1088/1757-899X/1114/1/012051/meta
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