Young’s modulus of cubic auxetics

R.V. Goldstien, V.A. Gorodtsov, D.S. Lisovenko show affiliations and emails
Received: 19 September 2011; Accepted: 13 October 2011
This paper is written in Russian
Citation: R.V. Goldstien, V.A. Gorodtsov, D.S. Lisovenko. Young’s modulus of cubic auxetics. Lett. Mater., 2011, 1(3) 127-132
BibTex   https://doi.org/10.22226/2410-3535-2011-3-127-132

Abstract

We analyzed uniaxial deformation of cubic crystals with negative Poisson’s ratio (cubic auxetics). Expressions are given for the maximum and minimum values of Young’s modulus. 

References (9)

1. L.D. Landau, E.M. Lifshitz. Course of Theoretical Physics, Vol.7, Theory of Elasticity. Pergamon Press. (1970)[Ландау Л.Д., Лифшиц Е.М. Теоретическая физика.Т.7. Теория упругости. М.: Наука (1987)].
2. T.C.T. Ting, T.Q. Chen. J. Mech. and Appl. Math. 58(1), 73 (2005).
3. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko.Mechanics of Solids. 45(4), 529 (2010) [Гольдштейн Р.В., Городцов В.А., Лисовенко Д.С. Известия РАН, МТТ.4, 43 (2010)].
4. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko.Doklady Physics. 54(12), 546 (2009) [ГольдштейнР.В., Городцов В.А., Лисовенко Д.С. ДАН. 429(5), 614(2009)].
5. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. DokladyPhysics. 56(7), 399 (2011) [Гольдштейн Р.В., ГородцовВ.А., Лисовенко Д.С. ДАН. 439(2), 184 (2011)].
6. Belomestnykh V.N., Soboleva E.G. Letters on materials1(2), 84 (2011) [Беломестных В.Н., Соболева Э.Г.Письма о материалах. 1(2), 84 (2011)].
7. Landolt-Börstein-Group III Condensed Matter. Berlin:Springer. V.29a (1992) P.11-188.
8. Yu.I. Sirotin, M.P. Shaskol`skaya Foundation ofCrystal Physics. Nauka. (1975) (in Russian).
9. J.F. Nye. Physical Properties of Crystals. Oxford Press(1957) [Най Дж. Физические свойства кристаллов.ИЛ (1960).].

Cited by (8)

1.
Valentin A. Gorodtsov, Dmitry S. Lisovenko, T. Lim. Composite Structures. 194, 643 (2018). Crossref
2.
A. Vasiliev, I. Pavlov. LOM. 9(1), 45 (2019). Crossref
3.
D. S. Lisovenko, Yu. A. Baimova, L. Kh. Rysaeva, V. A. Gorodtsov, S. V. Dmitriev. Phys. Solid State. 59(4), 820 (2017). Crossref
4.
D. S. Lisovenko, J. A. Baimova, L. Kh. Rysaeva, V. A. Gorodtsov, A. I. Rudskoy, S. V. Dmitriev. Phys. Status Solidi B. 253(7), 1295 (2016). Crossref
5.
Leysan Kh. Rysaeva, Julia A. Baimova, Dmitry S. Lisovenko, Valentin A. Gorodtsov, Sergey V. Dmitriev. Phys. Status Solidi B. 256(1), 1800049 (2019). Crossref
6.
Robert V. Goldstein, Valentin A. Gorodtsov, Dmitry S. Lisovenko. European Journal of Mechanics - A/Solids. 63, 122 (2017). Crossref
7.
Leysan Kh. Rysaeva, Julia A. Baimova, Sergey V. Dmitriev, Dmitry S. Lisovenko, Valentin A. Gorodtsov, Andrey I. Rudskoy. Diamond and Related Materials. 97, 107411 (2019). Crossref
8.
Valentin A. Gorodtsov, Dmitry S. Lisovenko. Mechanics of Materials. 134, 1 (2019). Crossref

Similar papers