Torsion of Truncated Hollow Spherical Elastic Body
https://doi.org/10.21791/IJEMS.2021.2.20.
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Copyright (c) 2021 István Ecsedi, Ákos Lengyel, Attila Baksa, Dávid Gönczi
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Abstract
This paper deals with the torsion of a body of rotation whose shape is a truncated hollow sphere. The material of the truncated hollow sphere is isotropic, homogeneous and linearly elastic. To solve the torsion problem, the theory of torsion of shafts of varying circular cross section is used, which is introduced by Michell and Föppl. Analytical solution is given for the shearing stresses and displacements. A numerical example illustrates the application of the presented solution. The results of the presented numerical example can be used as a benchmark problem to verify the accuracy of the results computed by finite element simulations.
