Pure torsion problem in tensor notation
Sławomir Karaś
s.karas@pollub.plDepartment of Roads and Bridges; Faculty of Civil Engineering and Architecture; Lublin University of Technology; (Poland)
https://orcid.org/0000-0002-0626-5582
Abstract
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.
Keywords:
pure torsion, tensor calculus, covariant/contravariant basses, vector componentsReferences
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Authors
Sławomir Karaśs.karas@pollub.pl
Department of Roads and Bridges; Faculty of Civil Engineering and Architecture; Lublin University of Technology; Poland
https://orcid.org/0000-0002-0626-5582
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