A recipe for building the torsional-rigidity bounds of shafts containing multiply coated fibers with imperfect interfaces

DOI10.1007/S10659-009-9218-0zbMath1191.74046OpenAlexW2047395604MaRDI QIDQ849256

Publication date: 25 February 2010

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

Full work available at URL: https://doi.org/10.1007/s10659-009-9218-0

zbMATH Keywords

upper bound lower bound effective shear rigidity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30)

Cites Work

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Rigorous bounds on the torsional rigidity of composite shafts with imperfect interfaces
Optimal fiber configurations for maximum torsional rigidity
An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders
Soft neutral elastic inhomogeneities with membrane-type interface conditions
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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