JKR and Other Adhesion Models

Maugis-Pollock

While the JKR and the DMT models assume elastic deformation, there are experimental data that suggests, in many cases, plastic deformation occurs. Maugis-Pollock developed

A model that included the plastic deformation effects. Accordingly, the relationship between the contact radius and external force is given as

 

(10)

where  is hardness and

,

(11)

with  being the yield strength.

Note that variations of contact radius with particle diameter at equilibrium, that is in the absence of external force, for elastic and plastic deformation are different. That is

(elastic),   (plastic)

(12)