00906nas a2200121 4500008004300000245005900043210005900102520051500161100002500676700002000701700002700721856003600748 2007 en_Ud 00aConvergence of equilibria of planar thin elastic beams0 aConvergence of equilibria of planar thin elastic beams3 aWe 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.1 aMora, Maria Giovanna1 aMÃ¼ller, Stefan1 aSchultz, Maximilian G. uhttp://hdl.handle.net/1963/1830