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. 

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T. Lim. Engineering Materials: Auxetic Materials and Structures, Chapter 3, p.107 (2015). Crossref
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J. Dagdelen, J. Montoya, M. de Jong, K. Persson. Nat Commun. 8(1) (2017). Crossref
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M. Komarova, V. Gorodtsov, D. Lisovenko. IOP Conf. Ser.: Mater. Sci. Eng. 347, 012019 (2018). Crossref
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Robert V. Goldstein, Valentin A. Gorodtsov, Marina A. Komarova, Dmitry S. Lisovenko. Scripta Materialia. 140, 55 (2017). Crossref
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Valentin A. Gorodtsov, Dmitry S. Lisovenko. Mechanics of Materials. 134, 1 (2019). Crossref

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