Engineering Transactions, 47, 1, pp. 77–91, 1999

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

T.F. Jabłoński
Polish Academy of Sciences
Poland

U. Andreaus
Universita Degli Studi Di Roma "La Sapienza"
Italy

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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References

A.P. BORESI, P.P. LYNN, Elasticity in engineering mechanics, Prentice-Hall, Inc. Englewood Cliffs, New Jersey 1974.

F. dell'ISOLA, G.C. RUTA, Outlooks in Saint-Venant theory III; Torsion and Flexure in sections of variable thickness by formal expansions, Arch. Mech., 49, 2, pp. 321-343, 1997.

A.J.C. BARRÉ de SAINT-VENANT, Mémoire sur la torsion des prismes, Mémoires par Divers Savants de l'Academie des Sciences (Paris), 14, 233, 1859.




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