The Generation of Random Surfaces Representative of Abrasion

Abstract

Theoretical models are developed to simulate random surfaces; the geometric shapes used in the theory are also used to form actual surfaces using a ‘single-grit’ approach. A particular feature of the work is the study of the effects of pile-up (cutting efficiency, β) on surface finish (R_a). For a unit event, the theory relates surface finish to cutter geometry, pile-up and load; the equivalent parameters for grinding are the average slope of the abraded surface, process efficiency and average load per grit. Finally, similar experimental techniques are used to synthesize the formation of a ground surface at spark-out.