Thin-walled beams with a cross-section of arbitrary geometry: Derivation of linear theories starting from 3D nonlinear elasticity

DOI10.1515/acv-2011-0003zbMath1263.74031arXiv1106.6245OpenAlexW2963791485MaRDI QIDQ4905963

Elisa Davoli

Publication date: 21 February 2013

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.6245

zbMATH Keywords

dimension reductionnonlinear elasticity\(\Gamma \)-convergencethin-walled beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

Stability of boundary conditions for the Sadowsky functional ⋮ Brittle membranes in finite elasticity ⋮ A note on 3D-1D dimension reduction with differential constraints

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