Let us solve the same equation, for an incompressible elastic material.

Simplifying using long-scale approximation,

Integration of equation 7.26,

Using the boundary condition, at

at which further gives,

	(11.28)

Furthermore, at , so that

(11.29)

Integration of equation 7.29 gives,

(11.30)

Which is simplified using the boundary condition:

at   and    at

Finally, pressure is obtained as,

(11.31)

Integrating with respect to in

(11.32)

Putting , we have

(11.33)

which is same as equation 7.24.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

It can be shown that for a circular punch, the pressure distribution can be calculated as,

(11.34)

Where is the zeroth-order Bessel function.