Discussion: “Elastoplastic Contact of Bodies With Friction Under Normal and Tangential Loading” (Nagaraj, H. S., 1984, ASME J. Tribol., 106, pp. 519–526)

Topology Proceedings 9 (1984) pp. 297-306: TWO NORMAL LOCALLY COMPACT SPACES UNDER MARTIN'S AXIOM

Single state elastoplastic friction models

For control applications involving small displacements and velocities, friction modeling and compensation can be very important. In particular, the modeling of presliding displacement (motion prior to fully developed slip) can play a pivotal role. In this paper, it is shown that existing single-state friction models exhibit a nonphysical drift phenomenon which results from modeling presliding a...

Fracturing at contact surfaces subjected to normal and tangential loads

A variety of rock engineering problems including drilling, cutting, abrasion and milling involve rock-tool contact and indentation. The pattern of indentation fractures and the role of slip conditions, surface roughness, tool radius, and initial aw size for an arbitrarily loaded contact are not fully known. The present paper aims to identify the elastic stress eld for a contact subjected to bot...

Contact area measurements reveal loading-history dependence of static friction.

We perform quantitative measurements of the actual area of contact, A, formed by two rough solids that are subjected to different normal loading protocols. We show that microscopic motion, induced by Poisson contraction or expansion, produces a strong memory dependence of on the loading history with a large corresponding influence on the system's frictional strength. These effects, together wit...

Predicting Depth and Path of Subsurface Crack Propagation at Gear Tooth Flank under Cyclic Contact Loading

In this paper, a two-dimensional computational model is proposed for predicting the initiation position and propagation path of subsurface crack of spur gear tooth flank. In order to simulate the contact of teeth, an equivalent model of two contacting cylinders is used. The problem is assumed to be under linear elastic fracture mechanic conditions and finite element method is used for numerical...