Convergence of equilibria of planar thin elastic beams

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dc.creatorMora, Maria Giovanna
dc.creatorMueller, Stefan
dc.creatorSchultz, Maximilian G.
dc.date2006-04-26
dc.date.accessioned2026-07-07T07:11:16Z
dc.date.available2026-07-07T07:11:16Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0604554
dc.identifierhttp://arxiv.org/abs/math/0604554
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111696
dc.subjectFunctional Analysis
dc.titleConvergence of equilibria of planar thin elastic beams
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