On the equilibrium of a cylindrical elastic solid: Comparisons with St. Venant's theory

DOI10.1007/BF00251499zbMath0668.73006OpenAlexW2024009252MaRDI QIDQ1118436

Giuseppe Grioli

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00251499

zbMATH Keywords

torsionextensionend tractionsleast square rigid motion interpolatelinearly elastic cylinderlower bounds on the stored energyminimized by the stress of the Saint Venant solutionoverall strainquadratic functional of the stressuniform flexion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Saint-Venant's principle (74G50)

Related Items (1)

Universal solutions and energy minimization in the Saint-Venant cylinder

Cites Work

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• On Saint-Venant's problem
• Generalized torsion: The solution of a problem of Truesdell
• Generalization of Saint-Venant's principle to micropolar continua
• St. Venant formulae for generalized St. Venant problems
• On Saint-Venant's principle and the torsion of solids of revolution
• Saint-Venant's principle
• On Saint-Venant's problem in micropolar elasticity
• Sul problema di De Saint-Venant nei solidi cristallini
• Relazioni quantitative per lo stato tensionale di un qualunque sistema continuo e per la deformazione di un corpo elastico in equilibrio
• Proprietà di media ed integrazione del problema dell'elasto-statica isoterma

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