Elastic plastic transition in torsion

Seth, B. R. (1964) Elastic plastic transition in torsion Journal of Applied Mathematics and Mechanics, 44 (6). pp. 229-233. ISSN 0044-2267

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/zamm.19...

Related URL: http://dx.doi.org/10.1002/zamm.19640440602


The transition theory for elastic plastic deformation, developed in recent papers, has been applied to the torsion of a circulation cylinder. No yield condition is used. It is found that the secondary axial stresses in the fully plastic state have a longitudinal singularity on the axis of the cylinder, thus indicating that there is always a core of material, which remains elastic. The numerical results obtained show good agreement with the experimental results of Bader and Nadai, Poynting and Reiner.

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