Modeling ofjetflow drilling with consideration of the chaotic erosion histories of particles

A general model is pre~nted for the simulation of a drilling process by abrasive waterjet. The conventional constitutive equation for the erosion rate of a single particle penetrating into a solid target is extended and applied to millions of particle strikes, taking into consideration their erosion histories. The theoretical advancement of this model reflects the inherent damping effect that occurs as the depth of drilling increases. Particles involved in erosion are divided into categories according m their kinematic features, and their penetration performances are evaluated individually. A panicle-laden jetflow with chaotic behavior, which was constructed previously by the authors, is employed to coordinate the positions of particles and describe their veloci~es and flow rates, including laminar and turbulent flow with the average scale. The high accuracy of the theoretical results is verified by independent experiments of drilling glass, titanium and other materials. © 1997 Elsevier Science S.A.