Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres

DOI10.1098/RSPA.2007.0070zbMath1138.74041OpenAlexW2129420943MaRDI QIDQ3508106

Tungyang Chen, Robert P. Lipton

Publication date: 27 June 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.0070

zbMATH Keywords

upper boundlower bound

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30)

Related Items (5)

A recipe for building the torsional-rigidity bounds of shafts containing multiply coated fibers with imperfect interfaces ⋮ 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 ⋮ Rigorous bounds on the torsional rigidity of composite shafts with imperfect interfaces ⋮ A universal expression for bounds on the torsional rigidity of cylindrical shafts containing fibers with arbitrary transverse cross-sections

Cites Work

• Unnamed Item
• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders
• An exactly solvable microgeometry in torsion: assemblage of multicoated cylinders
• 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
• VARIATIONAL METHODS, SIZE EFFECTS AND EXTREMAL MICROGEOMETRIES FOR ELASTIC COMPOSITES WITH IMPERFECT INTERFACE
• Saint-Venant torsion of anisotropic shafts: theoretical frameworks, extremal bounds and affine transformations
• The Torsional Rigidity and Variational Methods

This page was built for publication: Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres