Abstract
Effective Young’s moduli and Poisson’s ratios of two-layer tubes from cubic crystals have been analyzed theoretically. It is shown (using derived formulas for numerical estimates) that the mechanical properties of two-layer tube composites from auxetics and nonauxetics are not described by the mixture rule. It is demonstrated that the deviation of the effective modulus from the mixture rule predictions rapidly increases with an increase in Young’s modulus of the nonauxetic components of a composite. It is established that, combining auxetics and nonauxetics in layered tubes, one can obtain, depending on the packing order in layers, either a strong increase or a decrease in auxeticity.
Similar content being viewed by others
References
T. C. Lim, Eur. J. Mech. A: Solids 25, 752 (2009).
C. Kocer, D. R. McKenzie, and M. M. Bilek, Mater. Sci. Eng. A 505, 111 (2009).
T.-C. Lim, J. Eng. Mech. 136, 1176 (2010).
T.-C. Lim and U. R. Acharya, Phys. Status Solidi B 248, 60 (2011).
F. Scarpa and G. Tomlinson, J. Sound Vibr. 230, 45 (2000).
M. Ruzzene and F. Scarpa, J. Intel. Matter Syst. Struct. 14, 443 (2003).
T. Strek, H. Jopek, and M. Nienartowicz, Phys. Status Solidi B 252, 1540 (2015).
T. Strek and H. Jopek, Phys. Status Solidi B 249, 1359 (2012).
Landolt-Börnstein, Group III: Crystal and Solid State Physics. 29a. Second and Higher Order Constants (Springer, Berlin, 1992), pp. 11–188.
R. V. Goldstein, V. A. Gorodtsov, D. S. Lisovenko, and M. A. Volkov, Phys. Mesomech. 17(2), 97 (2014).
U. Scharer, A. Jung, and P. Wachter, Physica B 244, 148 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko, M.A. Volkov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 471, No. 4, pp. 414–420.
Rights and permissions
About this article
Cite this article
Goldstein, R.V., Gorodtsov, V.A., Lisovenko, D.S. et al. Two-layer tubes from cubic crystals. Dokl. Phys. 61, 604–610 (2016). https://doi.org/10.1134/S1028335816120016
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335816120016