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A 2D Lattice with Dense Packing of the Particles

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Structural Modeling of Metamaterials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 144))

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Abstract

Mechanical properties of a granular consolidated medium depend on the geometry of the microparticles, their location, and the forces of interaction between them. One of the main goals of mathematical modeling of such media is obtaining equations of motion and equations of state, which are capable to describe a discrete nature of a medium.

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Notes

  1. 1.

    Hereinafter, we will use the terms “grains” and “granules” as synonyms for the word “particles.” However, these terms do not have such a meaning, as in materials science.

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Authors and Affiliations

  1. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Federal Research Center ‘Institute of Applied Physics of the Russian Academy of Sciences’, Nizhny Novgorod, Russia

    Vladimir I. Erofeev & Igor S. Pavlov

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  1. Vladimir I. Erofeev
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  2. Igor S. Pavlov
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Correspondence to Vladimir I. Erofeev .

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Erofeev, V.I., Pavlov, I.S. (2021). A 2D Lattice with Dense Packing of the Particles. In: Structural Modeling of Metamaterials. Advanced Structured Materials, vol 144. Springer, Cham. https://doi.org/10.1007/978-3-030-60330-4_2

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