  We consider a thin elastic strip of thickness h and we show that stationary
points of the nonlinear elastic energy (per unit height) whose energy is of
order h^2 converge to stationary points of the Euler-Bernoulli functional. The
proof uses the rigidity estimate for low-energy deformations by Friesecke,
James, and Mueller (Comm. Pure Appl. Math. 2002), and a compensated compactness
argument in a singular geometry. In addition, possible concentration effects
are ruled out by a careful truncation argument.
