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On Obtaining the Shear Stress-Strain Relationship from a Hollow Specimen in Torsion

Published online by Cambridge University Press:  28 July 2016

J. P. Ellington
J. P. Ellington*
Affiliation:
Departments of Civil and Mechanical Engineering, University of Nottingham
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Extract

A method is given whereby the shear stress-strain relationship of a material can be obtained from observations made during a torsion test on a hollow circular specimen. An examination is then made of the corrections necessary when using thin-walled specimens, and some advantageous definitions of the mean diameter of a tube are suggested.

The use of torsion tests to obtain shear stress-strain relationships is now well established and takes one of two forms. A thin circular tube can be used, it being assumed that the stress distribution is uniform across the wall thickness, or a solid circular bar can be used, the results being analysed by a method ascribed to Nadai. Swift has shown that these two methods give comparable results for moderate strains.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 60 , Issue 552 , December 1956 , pp. 806 - 808
Copyright
Copyright © Royal Aeronautical Society 1956

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References

1. Nadai, A. (1950). Theory of Flow and Fracture of Solids, Vol. 1, McGraw-Hill, 1950.Google Scholar
2. Swift, H. W. (1947). Engineering, 163, 253, 1947.Google Scholar
3. Hill, R. (1950). The Mathematical Theory of Plasticity, Clarendon Press, 1950.Google Scholar
4. Wooley, R. L. (1953). Phil. Mag., 44, 597, 1953.Google Scholar