@article {2007,
title = {Convergence of equilibria of planar thin elastic beams},
journal = {Indiana Univ. Math. J. 56 (2007) 2413-2438},
number = {SISSA;23/2006/M},
year = {2007},
abstract = {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.},
doi = {10.1512/iumj.2007.56.3023},
url = {http://hdl.handle.net/1963/1830},
author = {Maria Giovanna Mora and Stefan M{\"u}ller and Maximilian G. Schultz}
}