I believe you have to specify which counterpart you are using. Do you mean friction coefficient or wear loss?

Hi Mahdie Farghadani, what kind of analysis are you performing, is pin on disc? Anyway, I think the answer could be, yes is it possible, but depends of many aspects.

we use steel peen on my composite samples in reciprocating sliding wear.and we measure friction coefficient and results compare with base metal which dont have reinforcement particles.

Dear Mahdie

Based on Archard law (Q=KWL/H) and coefficient friction (µ=A.t/W), hardness can be a crucial factor in tribological behavior. So, increase of hardness in your sample can result  in decrease of weight loss and coefficient friction.

H and A are hardness and contact true area in the mention formula respectively . A ( contact true area) decrease as the hardness increased. 

In my research,  the intermetallic (Mg2Si) has increased the hardness and decrease the volume loss (pin on disc test).

It will depend many factors.The inter metallic hardens ,Temperature(flash),Properties of mechanically mixed layer etc.So in this situation we cant directly depend the simple archard equations for wear loss.The apparent area of contact is another important factor for friction and wear.It depends the properties of inter metallic compounds

I aspect to increase the wear resistance due to the increase in hardness and strength, and somewhat  it may  lower  the coefficient of dry friction by avoiding the slipping of the contact faces. 

It depends on what kind of reinforcement additive you are using. U have to go to the crystal structure ,grain boundaries and grain orientation of the base metal. While adding reinforcements you need to go for mechanical characterisation like toughness, hardness and make a comparative study with the parent base metal.This way you will come to weather reinforcements are increasing wear resistance or reducing it.

Here, there are two close contact interacting mechanical objects are involved.  The friction is taking place  between these two objects, and the coefficient of friction is their common property. Similarly both objects, which are closed in contact,  they are both exposed to material lost or wear, which may be  less or more.  If  you are interested in the life time of  a cutting tool   then if you have to be sure that the cutting edge should have much higher hardness and less wear then the work piece that you wish to give it desired shape with a highest  clearance with a  minimum surface flaws and micro notches. The reinforcements means here  implies us how to improve or to prolong the life time  of the cutting tool and especially its  cutting edge  by using  proper physical metallurgical processes   to obtain  extremely high hardness combined with good  enough toughness to stand  accidental shocks,   which may occur during operation.  This scenario works only for those work pieces, which are made out from ductile metals and alloys.

The other  practices, where one faces  the wear resistance and the friction coefficient as serious  design considerations are  in  the various types of brake systems one encounters   in the automotive and  other transportation  systems. 

The hardness and toughness,  these are two contrary  properties  can be achieve only by duplex structure such as the  core made out tough material and the case made out very hard material such as diamond sand composite, which may be the same material but hardened  by exposing them  carbonizing    or nitrinizing  atmospheres. These  are surface treatments called case hardening.