When a metal is surface ground the roughness generated is the summation of
a function of the wheel roughness and the roughness due to wheel attrition
and damage to the workpiece. We identify this function here as a maximum em
,elope profile, which is fractal within certain cut off wavelengths determi
ned by the dressing conditions of the wheel. Estimating the global displace
ment of the binder-grit-workpiece system from the maximum envelope power sp
ectra, we determine the plastic indentation of the workpiece at characteris
tic length scales using simple contact-mechanical calculation. The estimate
d roughness corresponds well with that recorded experimentally for hard ste
el, copper; titanium and aluminium.