Average Poisson’s ratio for crystals. Hexagonal auxetics

R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko show affiliations and emails
Received  08 February 2013; Accepted  18 March 2013
Citation: R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. Average Poisson’s ratio for crystals. Hexagonal auxetics. Lett. Mater., 2013, 3(1) 7-11
BibTex   https://doi.org/10.22226/2410-3535-2013-1-7-11

Abstract

In the paper hexagonal auxetics are analyzed. The necessary and sufficient conditions are obtained for the detection of hexagonal auxetics and auxetics on average over all transverse directions. Also, necessary and sufficient conditions are obtained for the triclinic crystals with average Poisson's ratio when averaged over transverse directions. Necessary conditions are given for some special orientations. Eleven crystals with average negative Pois-son's ratio are revealed if all three angles of orientation are averaged. 

References (7)

1. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. Mechanicsof Solids 45(4), 529 (2010). (in Russian) [ГольдштейнР.В., Городцов В.А., Лисовенко Д.С. Известия РАН, МТТ 4, 43 (2010)].
2. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. DokladyPhysics. 56(7), 399 (2011) (in Russian) [ГольдштейнР.В., Городцов В.А., Лисовенко Д.С. ДАН. 439(2), 184(2011)].
3. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. Letters onMaterials 2(1), 21 (2012) [Гольдштейн Р.В., ГородцовВ.А., Лисовенко Д.С. Письма о Материалах 2(1), 21(2012)].
4. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. DokladyPhysics 57(4), 174 (2012) (in Russian) [ГольдштейнР.В., Городцов В.А., Лисовенко Д.С. ДАН. 443(6), 677(2012)].
5. T.C.T. Ting, D.M. Barnett. J.Appl.Mech. 72(6), 929 (2005).
6. Landolt-Börstein, − Group III Condensed Matter. Berlin:Springer. 1992. V.29a. P.11-188.
7. U. Schärer, A. Jung, P. Wachter. Physica B 244, 148 (1998).

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2.
J. Dagdelen, J. Montoya, M. de Jong, K. Persson. Nat Commun. 8(1) (2017). Crossref
3.
M. Komarova, V. Gorodtsov, D. Lisovenko. IOP Conf. Ser.: Mater. Sci. Eng. 347, 012019 (2018). Crossref
4.
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Vladimir I. Erofeev, Igor S. Pavlov. Advanced Structured Materials: Structural Modeling of Metamaterials, Chapter 7, p.147 (2021). Crossref
6.
L. Kh. Rysaeva. J. Phys.: Conf. Ser. 1435(1), 012066 (2020). Crossref
7.
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