Transitions in wear rate and mechanism are a common feature of the
erosive and abrasive wear of ceramics and other brittle materials. In such cases,
a relatively small change in applied conditions, such as impact velocity or angle
in the case of erosion, or of applied load in abrasion, results in a significant
change in the mechanism of wear. Such a transition often represents a change in
the extent or nature of fracture, leading to a concomitant change in the rate of
material removal. Transitions in wear mechanism can also be associated with a
change in the shape, hardness or size of the abrasive particles. In this paper,
theoretical models for the onset of fracture and plastic flow in a material being
eroded or abraded, and also in the abrasive or erosive particles, are used to
define regimes over which a single wear mechanism will be dominant. A method
is outlined by which these regimes can be illustrated graphically on plots of
particle size against impact velocity or applied load, and it is suggested that in
this way `maps' showing wear rates and mechanisms might be developed for the
abrasive and erosive wear of brittle materials.