@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} }