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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-9pp.3102-3110

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M.A. Volkov, V.A. Gorodtsov, and D.S. Lisovenko, "Elastic Properties of Two-Layered Tubes from Seven-Constant Tetragonal Crystals," Mech. Solids. 58 (9), 3102-3110 (2023)
Year 2023 Volume 58 Number 9 Pages 3102-3110
DOI 10.3103/S0025654423602124
Title Elastic Properties of Two-Layered Tubes from Seven-Constant Tetragonal Crystals
Author(s) M.A. Volkov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, volkovmikhl@ipmnet.ru)
V.A. Gorodtsov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, lisovenk@ipmnet.ru)
Abstract The present study analyzes effective elastic properties of two-layered composite tubes from seven-constant tetragonal crystals under tension. Analytical dependencies of Young’s modulus and Poisson’s ratios on elastic properties and geometric parameters of the tube are obtained. Values of these elastic characteristics compared to the values of Voigt’s averages for Young’s moduli of rectilin-early-anisotropic crystals and single-layered tubes of corresponding thickness. Auxetic two-layered tubes determined. It is shown that two-layered tubes of seven-constant tetragonal crystals are characterized by linear Poynting’s effect – the longitudinal strain is proportional to the torque angle.
Keywords tetragonal crystals, two-layered tubes, auxetics, Poynting’s effect
Received 25 October 2023Revised 01 November 2023Accepted 02 November 2023
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