Optimal fiber configurations for maximum torsional rigidity

DOI10.1007/s002050050113zbMath0939.74051OpenAlexW1985238907MaRDI QIDQ1283095

Robert P. Lipton

Publication date: 12 July 2000

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050113

zbMATH Keywords

circular cross-sectionmaximum torsional rigidityinfluence of imperfect bondoptimal fiber configurationprismatic shafts

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Optimization of other properties in solid mechanics (74P10) Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (11)

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 ⋮ Steklov Eigenvalues of Nearly Spherical Domains ⋮ A novel class of graded cylinders neutral to host shafts of arbitrary cross-sections under torsion ⋮ Shape optimization of an imperfect interface: steady-state heat diffusion ⋮ Torsional rigidity and Bergman analytic content of simply connected regions ⋮ Analyticity of Steklov eigenvalues of nearly hyperspherical domains in \(\mathbb{R}^{d+1}\) ⋮ 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 ⋮ Torsion of compound cross-sections with imperfect interface ⋮ Steklov eigenvalues of reflection-symmetric nearly circular planar domains

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