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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-5pp.701-709

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L.M. Zubov, "Universal Solutions of Nonlinear Dislocation Theory for Elastic Cylinder," Mech. Solids. 55 (5), 701-709 (2020)
Year 2020 Volume 55 Number 5 Pages 701-709
DOI 10.3103/S0025654420050167
Title Universal Solutions of Nonlinear Dislocation Theory for Elastic Cylinder
Author(s) L.M. Zubov (Southern Federal University, Rostov-on-Don, 344090, Russia, zubovl@yandex.ru)
Abstract For an elastic isotropic incompressible material of general form, a number of exact solutions have been found about large torsional and tensile–compressive deformations of a solid circular cylinder, taking into account distributed dislocations. Explicit formulas are obtained that determine the effect of dislocations on the dependences of the torque and longitudinal force on the twist angle and axial elongation. The main results are formulated in a form that allows experimental verification.
Keywords nonlinear elasticity, screw dislocations, large deformations, tension and torsion, nanostructured materials, dislocation density, exact solution
Received 18 March 2020Revised 25 March 2020Accepted 02 May 2020
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