Abstract
Solutions are obtained for a class of torsion problems for cylinders of a material with trigonal material symmetry. In particular, the solutions for elliptical, circular and equilateral triangular cross-sections are presented. These solutions show that the stress distributions are non-chiral and the same as they would be if the material were isotropic; however the in-plane displacements are chiral and different from the isotropic case. The results show that there will be transverse, in-plane stress interactions between the layers of a composite cylinder composed of concentric cylinders of different trigonal materials in torsional loading. Such composite cylinders are structural designs used by nature and by man.
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Fraldi, M., Cowin, S. Chirality in the Torsion of Cylinders with Trigonal Symmetry. Journal of Elasticity 69, 121–148 (2002). https://doi.org/10.1023/A:1027335921414
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DOI: https://doi.org/10.1023/A:1027335921414