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EFFECTIVE ELASTIC MODULI OF PERFORATED PLATES CONTAINING A RECTANGULAR LATTICE OF CIRCULAR HOLES

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Abstract—

A number of samples have been designed and manufactured - perforated plates with lattices of unequal periods and different orientations. Tensile tests of the samples were carried out, their effective elastic moduli were obtained. A mathematical model has been built and corrected, and a successful comparison of experimental and theoretical results has been carried out.

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REFERENCES

  1. J. D. Joannopoulos, S. G. Johnson, J. R. Winn, and R. D. Meade, Photonic Crystals. Molding the Flow of Light, 2nd ed. (Princeton Uni. Press, Princeton, 2008).

    MATH  Google Scholar 

  2. L. Xiong, C. Forsythe, M. Jung, et al., “Photonic crystal for graphene plasmons,” Nat. Commun. 10, 4780 (2019). https://doi.org/10.1038/s41467-019-12778-2

    Article  ADS  Google Scholar 

  3. Zeolites and Zeolite-Like Materials, Ed. by B. F. Sels and L. M. Kustov (Elsevier, 2016). https://doi.org/10.1016/C2014-0-00257-2

  4. Mesoporous Zeolites. Preparation, Characterization and Applications, Ed. By J. García-Martínez and Li Kunhao (Wiley-VCH, Weinhaim, 2015).

  5. J. J. Williams, K. E. Evans, and R. I. Walton, “On the elastic constants of the zeolite chlorosodalite,” Appl. Phys. Lett. 88 (2), 021914 (2006). https://doi.org/10.1063/1.2162859

    Article  ADS  Google Scholar 

  6. Handbook of Porous Silicon, 2nd ed., Ed. by L. Canham (Springer, Cham, 2018). https://doi.org/10.1007/978-3-319-71381-6

  7. V. V. Mokryakov, “Study of the dependence of effective compliancies of a plane with an array of circular holes on array parameters,” Vych. Mekh. Sploshn. Sred 3 (3), 90-101 (2010).

    Google Scholar 

  8. V. V. Mokryakov, “Strength analysis of an elastic plane containing a square lattice of circular holes under mechanical loading,” Mech. Solids 49, 568–577 (2014). https://doi.org/10.3103/S0025654414050082

    Article  ADS  Google Scholar 

  9. R. V. Gol’dshtein, V. V. Mokryakov, A. V. Chentsov, et al., “Anisotropy of the effective elastic modulus of a steel plate with a lattice of circular holes,” Russ. Metall. 2017, 838–841 (2017). https://doi.org/10.1134/S0036029517100068

    Article  ADS  Google Scholar 

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Funding

The study was supported by the Government program (contracts АААА-А20-120011690132-4 and АААА-А20-120011690136-2).

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 119526, Moscow, Russia

    S. Yu. Lavrent’ev, V. V. Mokryakov & A. V. Chentsov

Authors
  1. S. Yu. Lavrent’ev
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  2. V. V. Mokryakov
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  3. A. V. Chentsov
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Corresponding author

Correspondence to V. V. Mokryakov.

Additional information

Translated by M. Katuev.

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Lavrent’ev, S.Y., Mokryakov, V.V. & Chentsov, A.V. EFFECTIVE ELASTIC MODULI OF PERFORATED PLATES CONTAINING A RECTANGULAR LATTICE OF CIRCULAR HOLES. Mech. Solids 56, 296–300 (2021). https://doi.org/10.3103/S0025654421030067

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  • DOI: https://doi.org/10.3103/S0025654421030067

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