Estimation of the effective Young’s modulus for open cell porous titanium based on 3D Gibson – Ashby cell array

Authors

  • Andrei V. Nikitsin Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus https://orcid.org/0000-0002-8585-2119
  • Gennadi I. Mikhasev Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Keywords:

Gibson – Ashby model, porous titanium, open pores, effective Young’s modulus

Abstract

The objective of study is to determine the effective Young’s modulus of open cell porous titanium based on the Gibson – Ashby model. Two novel models are proposed in the form of 3D Gibson – Ashby cell arrays with two variants for connecting vertical and horizontal beams – hinged support and rigid clamping. Calculations made on the basis of the developed models are compared with results of known models and literature data. It is proved the assumption that at high porosity, the deformation of samples occurs to a greater extent due to the deflection of horizontal beams, and with a decrease in porosity, the compressive deformation of vertical beams is playing an important role.

Author Biographies

  • Andrei V. Nikitsin, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    senior lecturer at the department of bio- and nanomechanics, faculty of mechanics and mathematics

  • Gennadi I. Mikhasev, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    doctor of science (physics and mathematics), full professor; head of the department of bio- and nanomechanics, faculty of mechanics and mathematics

References

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Published

2022-04-06

Issue

No. 1 (2022): Journal of the Belarusian State University. Mathematics and Informatics

Section

Theoretical and Applied Mechanics

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How to Cite

[1]
Nikitsin, A.V. and Mikhasev, G.I. 2022. Estimation of the effective Young’s modulus for open cell porous titanium based on 3D Gibson – Ashby cell array. Journal of the Belarusian State University. Mathematics and Informatics. 1 (Apr. 2022), 75–82. DOI:https://doi.org/10.33581/2520-6508-2022-1-75-82.