We consider a model of cars driving along a compressible or erodible road.
Each car is modeled as a mass supported above a wheel by a damped spring. W
e find conditions under which a flat road surface is unstable and gives way
to a regular pattern of corrugations. The instability is mitigated by the
damping of the cars' springs and also by the tendency of the road surface t
o harden as it is compressed. Similar phenomena occur in railroad rails and
in calendaring of paper.