Contact of two cylinders with their axes parallel to the y-coordinate:

Two dimensional contact of cylindrical bodies

Separation of corresponding points on the unloaded surfaces of the cylinders:

	(10.1)

For points within the contacts area after loading,

	(10.2)

For points outside the contact area after loading,

	(10.3)

Notice that we are concerned here with a two-dimensional problem, because here we load two parallel cylinders which result in a rectangular strip of contact area. But the 2-dimensional contact mechanics have the following mathematical problems.