previously wear volume are calculated for wear test but now i found in some papers following specific wear rate. So i need to know the importance of these two findings
Depends on what you are looking for. But it is good to understand the different methods of wear (rate) representation and also evaluation for both conformal and non-conformal contacts so you can make a better judgement.
For conformal contacts I recommend the paper "Wear quantification"
Abstract: Tribology literature shows considerable scatter in the wear rate of materials obtained by pin-on-disc type of studies. The general consensus thus far hits been that this scatter is due to variations in the material properties and experimental conditions used by different investigators. However, the present paper shows that the scatter carl also arise from the way wear is quantified by popular methods such as by m(3)/m, m(3)/Nm and so on. Therefore, an improved method of wear quantification indicated as "wear index" (WI) a nondimensional quantity, has been proposed and it is expected to reduce scatter that arises from the way wear is quantified. Evidence for the improvement has been provided from the results obtained from the experiments reported in this paper as well as those reported by different researchers. ...
For non-conformal contacts I recommend "Effect of Contact Pressure and Load on Wear of Alumina"
Links for both the papers are attached
Hope this helps
Article Wear Quantification
Article Influence of Apparent Pressure on Wear Behavior of Self‐Mated Alumina
From my point of view is better wear rate, because this response relation the wear with the time. In other words, "speak" about how the materials pair wear during the time passe. The other response is only a wear quantity.
Wear rate is preferred since it depend on time and speed to determine the process of wear. The temperature plays an important role when using wear rate.