  In this note, we consider a Robin-type traction problem for a linearly
elastic body occupying an infinite periodically perforated domain. After
proving the uniqueness of the solution we use periodic elastic layer potentials
to show that the solution can be written as the sum of a single layer
potential, a constant function and a linear function of the space variable. The
density of the periodic single layer potential and the constant are identified
as the unique solutions of a certain integral equation.
