We apply the theory of pseudo-elasticity developed by Ogden and Roxburgh to a problem related to non-homogeneous deformation, namely pure axial shear of a pseudo-elastic long circular cylindrical tube. Loading, affected by application of a specified rotation of the outer surface of the tube relative to the inner one, is described by an isotropic elastic strain-energy function. Here we have shown that if the maximum applied shear stress is below a certain critical value, then there is no residual strain after the shearing stress is removed, while if it is greater than a second critical value, then there is residual strain throughout the tube. In this paper, residual strain is calculated explicitly in context of a particular material model. The stress softening effect of the shear stress on unloading is numerically compared with the loading.

pseudo-elasticity, homogeneous, residual strain.

Received: March 1, 2023; Accepted: March 28, 2023; Published: June 2, 2023

How to cite this article: Rajesh Kumar, Pure axial shear of a pseudo-elastic long circular cylindrical tube, International Journal of Materials Engineering and Technology 22(1) (2023), 7-22. http://dx.doi.org/10.17654/0975044423002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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