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

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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 16 scientific papers (total in 16 papers)

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

V. I. Erofeev^ab, I. S. Pavlov^ab

^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 (16)

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

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\jour J. Appl. Mech. Tech. Phys.

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Linking options:

https://www.mathnet.ru/eng/pmtf1289

https://www.mathnet.ru/eng/pmtf/v56/i6/p94

This publication is cited in the following 16 articles:

A. F. Revuzhenko, “Two Concepts of Continuum Deformation Kinematics: Displacement Field of Points and Displacement Fields of Material Planes”, J Min Sci, 60:4 (2024), 567
A. I. Demin, M. A. Volkov, V. A. Gorodtsov, D. S. Lisovenko, “Auxetics among Two-Layered Composites Made of Cubic Crystals. Analytical and Numerical Analysis”, Izvestiâ Rossijskoj akademii nauk. Mehanika tverdogo tela, 2023, no. 1, 166
A. I. Demin, M. A. Volkov, V. A. Gorodtsov, D. S. Lisovenko, “Auxetics among Two-Layered Composites Made of Cubic Crystals. Analytical and Numerical Analysis”, Mech. Solids, 58:1 (2023), 140
A. F. Revuzhenko, “Three-Dimensional Model of a Structured Linearly Elastic Body”, Phys Mesomech, 25:1 (2022), 33
I. S. Pavlov, S. V. Dmitriev, A. A. Vasiliev, A. V. Muravieva, “Models and auxetic characteristics of a simple cubic lattice of spherical particles”, Continuum Mech. Thermodyn., 2022
S. Benatmane, “Theoretical investigations of structural, mechanical, electronic, and thermodynamic properties of BaNYO (Y = Mg, Ca, and Sr) alloys”, emergent mater., 5:6 (2022), 1797
A. F. Revuzhenko, “Multi-Scale Mathematical Models of Geomedia”, J Min Sci, 58:3 (2022), 347
Vladimir I. Erofeev, Igor S. Pavlov, Advanced Structured Materials, 144, Structural Modeling of Metamaterials, 2021, 83
Alexey V. Porubov, Alena E. Osokina, Ilya D. Antonov, Advanced Structured Materials, 122, Nonlinear Wave Dynamics of Materials and Structures, 2020, 309
A.V. Porubov, A.E. Osokina, “Double dispersion equation for nonlinear waves in a graphene-type hexagonal lattice”, Wave Motion, 89 (2019), 185
Mikhail Volkov, Valentin Gorodtsov, Dmitry Lisovenko, “Variability of elastic properties of chiral monoclinic tubes under extension and torsion”, Lett. Mater., 9:2 (2019), 202
Aleksey Vasiliev, Igor Pavlov, “Models and some properties of Cosserat triangular lattices with chiral microstructure”, LOM, 9:1 (2019), 45
S. Benatmane, B. Bouhafs, “Investigation of new d0 half-metallic full-heusler alloys N2BaX (X=Rb, Cs, Ca and Sr) using first-principle calculations”, Computational Condensed Matter, 19 (2019), e00371
A A Vasiliev, I S Pavlov, “Structural and mathematical modeling of Cosserat lattices composed of particles of finite size and with complex connections”, IOP Conf. Ser.: Mater. Sci. Eng., 447 (2018), 012079
A.V. Porubov, A.M. Krivtsov, A.E. Osokina, “Two-dimensional waves in extended square lattice”, International Journal of Non-Linear Mechanics, 99 (2018), 281
A. V. Porubov, Advanced Structured Materials, 87, Advances in Mechanics of Microstructured Media and Structures, 2018, 263

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Prikladnaya Mekhanika i Tekhnicheskaya Fizika

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