A derivation of generalized saint venant’s torsion theory from three-dimensional elasticity by asymptotic expansion methods

DOI10.1080/00036818808839820zbMath0637.73003OpenAlexW2095276758WikidataQ58184030 ScholiaQ58184030MaRDI QIDQ3777537

L. Trabucho, Juan M. Viaño

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839820

zbMATH Keywords

beamsHellinger-Reissner variational formulationSaint Venant's torsion theorythree-dimensional linearized elasticity model

Mathematics Subject Classification ID

Related Items (8)

Mathematical justification of a one-dimensional model for general elastic shallow arches ⋮ Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes ⋮ A Galerkin spectral approximation in linearized beam theory ⋮ Homogenization and a galerkin approximation in three–dimensional beam theory ⋮ Modeling the vibrations of a multi-rod structure ⋮ A new approach of Timoshenko's beam theory by asymptotic expansion method ⋮ Genuinely clamped beams ⋮ A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis

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