An asymptotic approach to the torsion problem in thin walled beams

DOI10.1007/s10659-008-9170-4zbMath1159.74370OpenAlexW2141540987MaRDI QIDQ1013575

Eric Puntel, Roberto Paroni, Cesare Davini

Publication date: 20 April 2009

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-008-9170-4

zbMATH Keywords

asymptotic approachGamma-convergenceBredt's formulaeSaint Venant torsionthin walled beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

The theory of thin-walled rods of open profile as a result of asymptotic splitting in the problem of deformation of a noncircular cylindrical shell ⋮ On the restrained torsional warping of thin‐walled elastic shafts ⋮ A model of joined beams as limit of a 2D plate

Cites Work

• An asymptotic approach to the torsion problem in thin rectangular domains
• An introduction to \(\Gamma\)-convergence
• On Kelvin's formula for torsion of thin cylinders
• Thin-walled beams: the case of the rectangular cross-section
• Torsion of thin tubes: A justification of some classical results
• Torsion of thin tubes with multicell cross-section
• Anisotropic Inhomogeneous Rectangular Thin-Walled Beams
• Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes
• An Extension of Kelvin and Bredt Formulas
• Perturbation methods in torsion of thin hollow Saint-Venant cylinders
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