Convergence of equilibria for planar thin elastic beams

DOI10.1512/iumj.2007.56.3023zbMath1125.74026arXivmath/0604554OpenAlexW2047906111MaRDI QIDQ5428022

Maria Giovanna Mora, M. G. Schultz, Stefan Müller

Publication date: 27 November 2007

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604554

zbMATH Keywords

compensated compactnessnonlinear elastic energyEuler-Bernoulli functional

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (12)

Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities ⋮ The time-dependent von Kármán shell equation as a limit of three-dimensional nonlinear elasticity ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ Derivation of the linear elastic string model from three-dimensional elasticity ⋮ Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density ⋮ A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry ⋮ Derivation of homogenized Euler-Lagrange equations for von Kármán rods ⋮ Convergence of equilibria for bending-torsion models of rods with inhomogeneities ⋮ Derivation of a linear prestressed elastic rod model from three-dimensional elasticity ⋮ A Griffith–Euler–Bernoulli theory for thin brittle beams derived from nonlinear models in variational fracture mechanics ⋮ A hierarchy of multilayered plate models ⋮ Convergence of equilibria for incompressible elastic plates in the von Kármán regime

This page was built for publication: Convergence of equilibria for planar thin elastic beams