Hertzian indentor

Whereas the JKR model approached the topic of particle adhesion from a contact mechanics viewpoint, the DMT theory simply assumes that the adhesion-induced contact has the same shape as a Hertzian indentor. The normal pressure distribution Ph(p) for the Hertzian indentor is related to the repulsive force and the distance from the center of the contact circle to the point represented by r according to the relationship [49]... 

An alternative explanation has been proposed by Quesnel [62]. Assuming that the adhesion-induced deformation could be treated as a Hertzian indentor, with the load due to the force arising from the surface energy, Quesnel calculated the indentation in a self-consistent manner. That is to say, Quesnel recognized that the attractive force would vary as the particle or substrate deformed, owing to the increased circumference of the contact patch. He also recognized that, due to... 

The erosion of brittle materials has been described in terms of interacting Hertzian crack systems, or by the formation of lateral and median vents for sharp indentors. This is indicated in Figure 9.4. It has also been observed that brittle materials are capable of undergoing plastic deformation particularly when under erosion by very small particles.This is important because, at high temperature, some oxides formed as scales may show a ductile reaction to erosive impact. 

This concept is illustrated schematically in Figure 9a. In contact mechanics models like the Hertzian or JKR, a spherical indentor is assumed. There is no way to access the exact shape of the contact zone between tip and sample surface during a SFM experiment. Our assumption of spherical geometry is justified by images of... 

Attention is confined to isotropic materials. Also, we deal only with halfplane problems and rigid indentors. However, the results are applicable to mildly curved surfaces and, with certain modifications, to the case of contact between two viscoelastic bodies. This is the familiar argument used in the theory of Hertzian contact. The modifications mentioned are not trivial in the viscoelastic case, as they are in the elastic case, involving as they do, the combining of viscoelastic... 

---

See also in sourсe #XX -- [ ]

See also in sourсe #XX -- [ ]

---