# Elasticity/Hertz contact

(Redirected from Introduction to Elasticity/Hertz contact)

## The Hertz problem : rigid cylindrical punch edit

- The contact length depends on the load .
- There is no singularity at .
- The radius of the cylinder ( ) is large.

We have,

Hence,

and

Therefore,

and

Plug back into the expression for to get

This expression is singular at and , unless we choose

Plugging into the equation for ,

### Two deformable cylinders edit

If instead of the half-plane we have an cylinder; and instead of the rigid cylinder we have a deformable cylinder, then a similar approach can be used to obtain the contact length

and the force distribution