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Published in:
2018 | OriginalPaper | Chapter
7. Torsion
Authors : Kwansoo Chung, Myoung-Gyu Lee
Published in: Basics of Continuum Plasticity
Publisher: Springer Singapore
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Abstract
Torsion of a cylindrical shaft is an important engineering problem especially since it has the exact analytical solution of the linear isotropic elasticity with infinitesimal deformation for a circular cylinder. The uniform circular cross-section may have an arbitrary size (with the radius of ‘a’ here). Note that the pure bending also has the exact analytical solution of the linear isotropic elasticity but its object may have an arbitrary cross-sectional shape unlike the case of torsion here, which is only for circular cross-sections. The infinitesimal elastic solution is extended here for plasticity with finite deformation considering the one-dimensional elasto-perfect plasticity as a first order approximate solution.