The velocity exponent 'n' in the bayer model gets a negative term. Is it applicable at the velocity transition area?
Dear Sunil,
I am not familiar with Bayer's wear model, but do you mean a model of the form like:
W=K * La * vb * tc
meaning the wear volume W is proportional (coefficient K) to the product of load L, sliding velocity v as well as time t and to each an empirical exponent a,b,c is assigned?
If so I believe this form was introduced by Rhee (Wear 16 (1970) 431-445).
The exponents are typically obtained from a set of experiments, where the variables are separately changed. The resulting values for the exponents are usually valid only within the range of the experiments, of course one could assign different values for distinct regimes. However, some theoretical explanation/justification might be nice.
One thing that should be kept in mind about such models was point out e.g. by Meng & Ludema (Wear 181 (1995) 443-457): It is usually assumed but hardly proven that the exponents are depending only on the variation of the corresponding variable and independent of the others. Especially at transitions I can imagine that this might be problematic.
Hope this is any help.
Cheers
Gregor
you can read: Bayer R.G., Comments on Engineering Needs and Wear Models. In: Ludema K.C., Bayer, R.G. (eds.) Tribological Modeling for Mechanical designers. Philadelphia: ASTM International; 1991. p. 3-11.
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