Module 2 : Solid bodies in contact with and without interactions
Lecture 5 : Rigid flat punch
Frictionless punch (contd...)
The displacement of the surface outside the punch can be calculated from
(5.8)
or
The expression for the surface gradient can be obtained as:
which shows that the surface gradient at is infinite.
We find the tangential displacements under the punch as,
(5.9)
For a compressible material, , the points on the surface moves towards the center of the punch, which can be reduced and completely prevented if there is sufficient friction on the surface.
is infinite.
, the points on the surface moves towards the center of the punch, which can be reduced and completely prevented if there is sufficient friction on the surface. 
