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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 6, Pages 94–101
DOI: https://doi.org/10.15372/PMTF20150611 (Mi pmtf1289) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Parametric identification of crystals having a cubic lattice with negative Poisson's ratios

V. I. Erofeevab, I. S. Pavlovab

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Nizhny Novgorod, 603024, Russia
b Research Institute for Mechanics at the Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, 603950, Russia
Full-text PDF (344 kB) Citations (15)
DOI: https://doi.org/10.15372/PMTF20150611
Abstract: A two-dimensional model of an anisotropic crystalline material with cubic symmetry is considered. This model consists of a square lattice of round rigid particles, each possessing two translational and one rotational degree of freedom. Differential equations that describe propagation of elastic and rotational waves in such a medium are derived. A relationship between three groups of parameters is found: second-order elastic constants, acoustic wave velocities, and microstructure parameters. Values of the microstructure parameters of the considered anisotropic material at which its Poisson's ratios become negative are found.
Keywords: crystal with a cubic lattice, negative Poisson's ratios, microstructure parameters, parametric identification.
Received: 08.06.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 6, Pages 1015–1022
DOI: https://doi.org/10.1134/S0021894415060115
Bibliographic databases:
Document Type: Article
UDC: 539.2
Language: Russian
Citation: V. I. Erofeev, I. S. Pavlov, “Parametric identification of crystals having a cubic lattice with negative Poisson's ratios”, Prikl. Mekh. Tekh. Fiz., 56:6 (2015), 94–101; J. Appl. Mech. Tech. Phys., 56:6 (2015), 1015–1022
Citation in format AMSBIB
\Bibitem{EroPav15}
\by V.~I.~Erofeev, I.~S.~Pavlov
\paper Parametric identification of crystals having a cubic lattice with negative Poisson's ratios
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 6
\pages 94--101
\mathnet{http://mi.mathnet.ru/pmtf1289}
\crossref{https://doi.org/10.15372/PMTF20150611}
\elib{https://elibrary.ru/item.asp?id=25373164}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 6
\pages 1015--1022
\crossref{https://doi.org/10.1134/S0021894415060115}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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