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An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders

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Publication:1969324
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DOI10.1023/A:1007606330007zbMath0961.74039MaRDI QIDQ1969324

Robert P. Lipton

Publication date: 29 May 2001

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


zbMATH Keywords

isoperimetric inequalityvariational methodfiber-reinforced cylinderSaint-Venant's torsion problemstress function formulation


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Composite and mixture properties (74E30) Variational methods for second-order elliptic equations (35J20)


Related Items (4)

A recipe for building the torsional-rigidity bounds of shafts containing multiply coated fibers with imperfect interfaces ⋮ Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres ⋮ 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







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