The regular prismatic bar under torsion: A new approach based on caustics. (Review article)

DOI10.1007/BF01178178zbMath0731.73014OpenAlexW2040187785MaRDI QIDQ808817

Pericles S. Theocaris

Publication date: 1989

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01178178

zbMATH Keywords

ellipticalequiangular triangular barsextrema displaced towards the cornerslongitudinal warpingpartly curved triangles lying outside the inscribed circlessinusoidal type of curves for the warping displacements

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Saint-Venant's principle (74G50) Elastic materials (74B99)

Cites Work

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• Maximum principles and bounds on stress concentration factors in the torsion of grooved shafts of revolution
• The principle of Saint-Venant in linear and non-linear plane elasticity
• Second-order torsion and bending of isotropic elastic cylinders

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