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The paper examines the application of the tensor calculus to the classic problem of the pure torsion of prismatic rods. The introduction contains a short description of the reference frames, base vectors, contravariant and covariant vector coordinates when applying the Einstein summation convention. Torsion formulas were derived according to Coulomb’s and Saint-Venant’s theories, while, as a link between the theories, so-called Navier’s error was discussed. Groups of the elasticity theory equations were used.
Green A.E., Zerna W. Theoretical elasticity. Oxford, Clarendon Press, 1968, pp. 457.
Dullemond K., Peeters K. Introduction to tensor calculus. 1991-2010. www.ita.uni-heidelberg.de /~dullemond/lectures/tensor/tensor.pdf; pp. 53.
Gurtin M.E., Sternberg E. Linear theory of elasticity, In: Truesdell, C., Ed., Handbuch der Physik, Vol. VIa/2, Springer-Verlag, Berlin, pp. 296.
Sokolnikoff I.S. Mathematical theory of elasticity. McGraw-Hill, 1956, pp. 476.
Kaliski S. Pewne problemy brzegowe dynamicznej teorii sprężystości i ciał niesprężystych; (Certain boundary problems of the dynamic theory of elasticity and inelastic bodies). Warszawa, WAT, 1957. pp. 305.
Kurrer K-E. The history of the theory of structures: from arch analysis to computational mechanics, Ernst & Sohn Verlag, 2008, pp 848; [04.07.2019]. https://doi.org/10.1017/S000192400008756X
Fung Y.C. Foundation of solid mechanics, Prentice-Hall, 1965, pp. 525.
Govindaraju L., Sitharam T.G., Applied elasticity for engineers, I K International Publishing House Pvt. Ltd, New Delhi, 2016, pp. 256; https://www.bookdepository.com/Elasticity-for-Engineers-T-G-Sitharam/9789385909344 ; [20.05.2019].
Mase G.T., Smelser R., Mase G.E., Continuum mechanics for engineers, 3rd Edit., CRC Press, Taylor & Francis Group, 2009, p. 370. https://www.academia.edu/15548859/Continuum_Mechanics_for_Engineers_ Mase_3rd_Edition?auto =download ; [28.05.2019].
Romano G., Barretta A., Barretta R. On torsion and shear of Saint-Venant beams, European Journal of Mechanics A/Solids 35, 2012, pp. 47-60.
Raniecki B., Nguyen H.V., Mechanics of isotropic elastic-plastic flow in pressure-sensitive damaging bodies under finite strains, ZAMM, Vol.90, No.9, 2010, pp. 682-700. https://doi.org/10.1002/zamm.200900398
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