Bounds and Extremal Configurations for the Torsional Rigidity of Coated Fiber Reinforced Shafts
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Publication:4830645
DOI10.1137/S0036139903424229zbMath1126.74036MaRDI QIDQ4830645
Tungyang Chen, Robert P. Lipton
Publication date: 13 December 2004
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization problems in solid mechanics (74P99) Variational methods for second-order elliptic equations (35J20)
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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 ⋮ 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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