Theoretical analysis on effects of grain size variation

Grinding wheels consist of abrasive grains, bonding materials and porous, which are specified by five factors; type of grain, size of grain, bonding material, bonding strength and grain concentration or volume fraction of grain. The grain size is represented by the mean diameter/radius of grains. However, the abrasives in a grinding wheel are randomly scraggly in size and shape. There is no particular aspect to regulate the variation in grain size. This paper addresses, via a theoretical analysis on the distribution of grain size, the average volume of a grain, the number of grains contained in a specific volume of the wheel, the number and protrusion distribution of grains exposed in a wheel working surface and the fraction of effective grain, when the grain size varies. The effect on the resultant finished surface roughness is also discussed.