An analysis of auxetic properties of the cell having finite size particles

Received 16 June 2013; Accepted 30 July 2013;
This paper is written in Russian
Citation: A.A. Vasiliev. An analysis of auxetic properties of the cell having finite size particles. Lett. Mater., 2013, 3(4) 288-291
BibTex   https://doi.org/10.22226/2410-3535-2013-4-288-291

Abstract

Auxetic properties of square cell of finite size particles are considered. Analytical and numerical solutions are given. An interesting property is demonstrated and studied: for some parameters the cell becomes thinner in cross section between two approaching particles and under pressure.

References (19)

1. V.N. Belomestnykh, E.G. Soboleva. Letters on materials1(2), 84 (2011) [Беломестных В.Н., Соболева Э.Г.Письма о материалах 1(2), 84-87 (2011).].
2. S.V. Dmitriev, A.A. Vasiliev, A.E. Miroshnichenko, T.Shigenari, Y. Kagawa, Y. Ishibashi. Ferroelectrics 283, 127(2003).
3. S.V. Dmitriev, A.A. Vasiliev, N. Yoshikawa, T. Shigenari, Y. Ishibashi. Physica Status Solidi (B): Basic Solid StatePhysics 242, 528 (2005).
4. M.R. Dudek, B. Grabiec, K.W. Wojciechowski. Reviews onAdvanced Materials Science 14(2), 167 (2007).
5. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. Letterson Materials 1(3), 127-132 (2011) [Гольдштейн Р.В., Городцов В.А., Лисовенко Д.С. Письма о Материалах1(3), 127 (2011).].
6. 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).].
7. R.V. Goldstein, V.A. Gorodtsov, D.S. Lisovenko. Letterson Materials 3(1), 7 (2013) [Гольдштейн Р.В., ГородцовВ.А., Лисовенко Д.С. Письма о Материалах 3(1), 7(2013).].
8. J.N., Grima, K.E. Evans. Journal of Materials ScienceLetters 19(17), 1563 (2000).
9. J.N. Grima, R. Gatt, A. Alderson, K.E. Evans. Journal of thePhysical Society of Japan 74(10), 2866 (2005).
10. J.N. Grima, P.-S. Farrugia, R Gatt., D. Attard. PhysicaStatus Solidi (B): Basic Solid State Physics 245(3), 521(2008).
11. Y. Ishibashi, M. Iwata. Journal of the Physical Society ofJapan 69(8), 2702 (2000).
12. R. S. Lakes, K. W. Wojciechowski. Physica Status Solidi(B): Basic Solid State Physics 245(3), 545-551 (2008).
13. А.A. Vasiliev, S.V. Dmitriev, Y. Ishibashi, T. Shigenari.Physical Review B 65, 094101 (2002).
14. А.A. Vasiliev, S.V. Dmitriev, A.E. Miroshnichenko.International Journal of Solids and Structures 42(24-25), 6245 (2005).
15. А.A. Vasiliev, S.V. Dmitriev, A.E. Miroshnichenko.International Journal of Solids and Structures 47(3-4), 510 (2010).
16. А.A. Vasiliev, S.V. Dmitriev, I.S. Pavlov. Advancedmaterials 12, 87-91 (2011) (in Russian) [Васильев А.А., Дмитриев С.В., Павлов И.С. Перспективные матери-алы 12, 87 (2011).].
17. K.W. Wojciechowski. Journal of Physics A: Mathematicaland General 36(47), 11765 (2003).
18. I.S. Pavlov, A.I. Potapov. Doklady Akademii nauk 421(3), 348-352 (2008) (in Russian) [Павлов И.С., ПотаповА.И. Доклады Академии наук 421(3), 348-352 (2008)].
19. I.S. Pavlov, A.I. Potapov. Izvestija Rossijskoj akademiinauk. Mehanika tverdogo tela (2), 98 (2007). (in Russian)[Павлов И.С., Потапов А.И. Известия Российскойакадемии наук. Механика твердого тела (2), 98 (2007)].

Cited by (2)

1.
Alexey V. Porubov, Alena E. Osokina, Thomas M. Michelitsch. Advanced Structured Materials: Generalized Models and Non-classical Approaches in Complex Materials 1, Chapter 34, p.641 (2018). Crossref
2.
A.V. Porubov, A.M. Krivtsov, A.E. Osokina. International Journal of Non-Linear Mechanics. 99, 281 (2018). Crossref