An asymptotic approach to the torsion problem in thin rectangular domains

DOI10.1007/S11012-007-9106-2zbMath1163.74475OpenAlexW2071225539MaRDI QIDQ1026530

Eric Puntel, Roberto Paroni, Cesare Davini

Publication date: 25 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-007-9106-2

zbMATH Keywords

linear elasticitytorsionasymptotic methodsthin structuresmechanics of solids and structures

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

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Influence of linearly varying density and rigidity on torsional surface waves in inhomogeneous crustal layer ⋮ Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half-space ⋮ Shear stress analysis in engineering beams using deplanation field of special 2-D finite elements ⋮ Propagation of torsional wave in a non-homogeneous crustal layer over a dry sandy mantle ⋮ An asymptotic approach to the torsion problem in thin walled beams ⋮ Torsional wave frequency in heterogeneous earth crust lying over dry sandy semi-infinite substratum ⋮ Linear models of a stiffened plate via \(\Gamma \)-convergence

Cites Work

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• An introduction to \(\Gamma\)-convergence
• Thin notched beams
• Torsion of thin tubes: A justification of some classical results
• The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
• Torsion of thin tubes with multicell cross-section
• The equations of motion of a plate with residual stress
• An Extension of Kelvin and Bredt Formulas
• Theory of Linearly Elastic Residually Stressed Plates

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