Validation of Classical Beam and Plate Models by Variational Convergence

DOI10.1007/978-1-4020-8774-5_16zbMath1208.74076OpenAlexW182290932MaRDI QIDQ5390447

Paolo Podio-Guidugli

Publication date: 1 April 2011

Published in: IUTAM Symposium on Relations of Shell Plate Beam and 3D Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-8774-5_16

zbMATH Keywords

Timoshenko beam theoryvariational convergenceReissner-Mindlin plate theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (3)

On the theory of porous elastic rods ⋮ On variational dimension reduction in structure mechanics ⋮ Linear models of a stiffened plate via \(\Gamma \)-convergence

Cites Work

• The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
• A unified formal approach for theories of linear elastic plates and rods
• A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
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