A universal expression for bounds on the torsional rigidity of cylindrical shafts containing fibers with arbitrary transverse cross-sections

DOI10.1007/S10659-010-9241-1zbMath1294.74054OpenAlexW2021848391MaRDI QIDQ717493

Tungyang Chen

Publication date: 4 October 2011

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

Full work available at URL: https://doi.org/10.1007/s10659-010-9241-1

zbMATH Keywords

variational boundstorsional rigiditycomposite shafts

Mathematics Subject Classification ID

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

Related Items (3)

Bilateral bounds for the shear and torsion factors: comments on elementary derivations ⋮ Saint-Venant's torsion of composite shafts reinforced with arbitrarily or periodically dispersed coated fibers ⋮ A novel class of graded cylinders neutral to host shafts of arbitrary cross-sections under torsion

Cites Work

• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• Optimal fiber configurations for maximum torsional rigidity
• An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders
• On the torsional rigidity of multiply connected cross-sections
• On the Saint-Venant torsion of composite bars with imperfect interfaces
• An exactly solvable microgeometry in torsion: assemblage of multicoated cylinders
• Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres
• The Theory of Composites
• Torsion of an isotropic shaft of arbitrary cross-section embedded with multicoated or graded circular cylinders of cylindrically orthotropic materials
• Exact solutions in torsion of composite bars: thickly coated neutral inhomogeneities and composite cylinder assemblages
• Bounds and Extremal Configurations for the Torsional Rigidity of Coated Fiber Reinforced Shafts
• The Torsional Rigidity and Variational Methods
• Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
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