Torsion of a Saint-Venant Cylinder with a Non-Simply Connected Cross-Section

2020/12/22 by T.F. Jabłoński, Jabłoński, T.F., Ugo Andreaus +1
Engineering · Materials Science · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Elasticity and Wave Propagation #Material Properties and Failure Mechanisms

paper · doi:10.24423/engtrans.615.1999

openalex publication_date 2020/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/01

Abstract

The Finite Element Method solution to the torsion problem of a linearly elastic, homogeneous, isotropic cylinder with a non-simply connected cross-section of variable wall thickness is presented. The computed displacement, warping, stress, strain and Mises invariant are shown for several shapes of the cross-section: a rectangle, a rectangle with a crossbar, and rings with sinusoidal boundaries of various amplitudes and periods. The computed results enable us to analyze the shape sensitivity to warping under torsion in thick-walled cylinders with complicated cross-sectional shapes.

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