Some analytical solutions for Saint-Venant torsion of non-homogeneous cylindrical bars

DOI10.1016/j.euromechsol.2009.03.010zbMath1176.74103OpenAlexW2037295617MaRDI QIDQ1043410

István Ecsedi

Publication date: 9 December 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2009.03.010

zbMATH Keywords

elasticSaint-Venant torsionnon-homogeneousPrandtl's stress function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (10)

Torsional deformations and material tailoring of orthotropic bi-directional FGM hollow truncated conical cylinders with curved lateral surfaces ⋮ Analogies between \textsc{Kirchhoff} plates and functionally graded \textsc{Saint-Venant} beams under torsion ⋮ A direct approach for three-dimensional elasto-static and elasto-dynamic solutions in curvilinear cylindrical coordinates with application to classical cylinder problems ⋮ Bounds for the torsional rigidity of inhomogeneous cylindrical bars ⋮ Axial-torsional coupled static behavior of inhomogeneous pretwisted cantilever beams ⋮ Membrane analogy for multi-material bars under torsion ⋮ The approximate solution of the elastic torsion problem of uniform bar with arbitrary cross-section ⋮ Meshfree Approach for the Torsional Analysis of Non-Circular Orthotropic and Functionally Graded Sections ⋮ Torsion of tubes with quasi-polygonal holes using complex variable method ⋮ Saint-Venant torsion of orthotropic piezoelectric elliptical bar

Cites Work

• Torsion of functionally graded hollow tubes
• Torsion of functionally graded isotropic linearly elastic bars
• On the torsion of functionally graded anisotropic linearly elastic bars
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