TY - JOUR
T1 - Convergence of equilibria of planar thin elastic beams
JF - Indiana Univ. Math. J. 56 (2007) 2413-2438
Y1 - 2007
A1 - Maria Giovanna Mora
A1 - Stefan MÃ¼ller
A1 - Maximilian G. Schultz
AB - 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.
UR - http://hdl.handle.net/1963/1830
U1 - 2386
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -