Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-5pp.1615-1627

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W. Ounifi, M. Soula, and H. Hassis, "Continuous Approach of Helical Material," Mech. Solids. 58 (5), 1615-1627 (2023)
Year 2023 Volume 58 Number 5 Pages 1615-1627
DOI 10.3103/S0025654423600496
Title Continuous Approach of Helical Material
Author(s) W. Ounifi (LMPE - Higher National Engineering School of Tunis (ENSIT), University of Tunis, 5 Av. Taha Hussein, Montfleury, 1008 Bab Menara, Tunis, Tunisia, ounifiwafa@hotmail.fr)
M. Soula (Laboratory of Applied Mechanics and Engineering- LMAI- ENIT, University of Tunis El Manar, Campus Universities Manar II, 2092 Tunis, Tunisia, mohamed.soula@enit.utm.tn)
H. Hassis (Laboratoire de Génie Civil, ENIT, University of Tunis El Manar, Campus Universities Manar II, 2092 Tunis, Tunisia, hedi.hassis@enit.utm.tn)
Abstract This work introduces a novel 3D formulation that presents helical motion within the framework of continuum mechanics. By leveraging the principle of virtual power, a comprehensive theoretical model is proposed, incorporating the extension-torsion coupling. The model establishes equilibrium equations and boundary conditions; its behavior is inspired from cable theory. Additionally, expressions are derived to establish the relationship between tensile stresses and torsion torques, based on the mechanical and geometric parameters. To shown case the influence of various parameters, such as helix pitch and torque, on mechanical stresses, illustrative examples are presented. These results are then compared with those obtained using the Cauchy continuum model.
Keywords helical motion, extension-torsion coupling, analytical modelling
Received 01 April 2023Revised 04 July 2023Accepted 08 July 2023
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