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Pure torsion problem in tensor notation
Pure torsion problem in tensor notation

Author(s): Sławomir Karaś
Subject(s): Geography, Regional studies, Physical Geopgraphy
Published by: Biblioteka Politechniki Lubelskiej
Keywords: pure torsion; tensor calculus; covariant/contravariant basses; vector components

Summary/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.

  • Issue Year: 18/2019
  • Issue No: 1
  • Page Range: 57-69
  • Page Count: 13
  • Language: English
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