Module 2 : Solid bodies in contact with and without interactions
  Lecture 8 : Hertzian Mechanics
 

Herttzian Mechanics (contd...)

A similar expression can be written for the second surface:

(8.3)

The separation between the two surfaces is given as .

We can now transpose equation 8.1 to a common set of axes and ,

(8.4)

In which after suitable choice of axes, vanishes, leaving

(8.5)

Where , are constants and , are principal relative radius of curvature.

If the axes of the principal curvature of each surface, i.e. the and are inclined to each other by an angle , then it can be shown that

(8.6a)

and

(8.6b)