Adhesion of Spheres Maugis Theory

The transition in the Maugis model is governed by the parameter defined as 

Since OoSt = iVAandSt = 0.97zo, the transition parameterXis almost identical to the one defined by Tabor 

Maugis introduced the dimensionless variables a for the contact radius Tl for the load, and 8 for the indentation defined as 

For spheres that are soft and have a large radius, p, will become large and this should correspond to the JKR limit. For small, hard spheres, pj, 0 corresponding to the DMT limit. Using this set of variables, the Hertz equations reduce to 

The governing equations based on the Dugdale potential were found by Maugis as 

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