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2_2023_sen_8

Title of the article EFFECTIVE YOUNG MODULUS EVALUATION OF BONE–TITANIUM BIOCOMPOSITE FORMED DUE TO COMPLETE IMPLANT OSSEOINTEGRATION
Authors

NIKITSIN Andrei V., Senior Lecturer of Bio- and Nanomechanics Department, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

MIKHASEV Gennadi I., D. Sc. in Phys. and Math., Prof., Head of Bio- and Nanomechanics Department, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

BOTOGOVA Marina G., Ph. D. in Phys. and Math., Associate Professor of Bio- and Nanomechanics Department, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section BIOMECHANICS
Year 2023
Issue 2(63)
Pages 69–74
Type of article RAR
Index UDK 616.728:51
DOI https://doi.org/10.46864/1995-0470-2023-2-63-69-74
Abstract The objective of study is to determine the effective Young modulus before and after the completed osseointegration process using mathematical modelling of a titanium porous structure. A novel model is proposed in the form of 3D arrays of Gibson-Ashby cells with rigid clamping of horizontal beams resting on elastic foundation. Calculations made on the basis of the developed model are compared with known models and literature data. The assumption is proved that the osseointegration process due to the bone tissues ingrowth into the pores of titanium implant could affect the Young modulus increasing its value in proportion to porosity of a specimen.
Keywords Gibson–Ashby model, porous titanium, effective Young modulus, beam on elastic foundation
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Bibliography
  1. Singh R., et al. Characterization of the deformation behavior of intermediate porosity interconnected Ti foams using micro-computed tomography and direct finite element modeling. Acta biomaterialia, 2010, vol. 6, iss. 6, pp. 2342–2351. DOI: https://doi.org/10.1016/j.actbio.2009.11.032.
  2. Annur D., et al. Processing and characterization of porous titanium for orthopedic implant prepared by argon-atmospheric sintering and arc plasma sintering. Materials research, 2021, vol. 24, iss. 6. DOI: https://doi.org/10.1590/1980-5373-MR-2021-0122.
  3. Kumar N., Bharti A. Physical and mechanical properties of powder-metallurgy-processed titanium alloys and composites: a comparative analysis. Metal science and heat treatment, 2022, vol. 64, iss. 5–6, pp. 245–251. DOI: https://doi.org/10.1007/s11041-022-00794-x.
  4. Fer B., et al. Powder metallurgy processing and mechanical properties of controlled Ti-24Nb-4Zr-8Sn heterogeneous microstructures. Metals, 2020, vol. 10, iss. 12. DOI: https://doi.org/10.3390/met10121626.
  5. Yao Yt., et al. Effects of pore size and porosity on cytocompatibility and osteogenic differentiation of porous titanium. Journal of materials science: materials in medicine, 2021, vol. 32, iss. 6. DOI: https://doi.org/10.1007/s10856-021-06548-0.
  6. Tsai M.-H., et al. Finite element analysis on initial crack site of porous structure fabricated by electron beam additive manufacturing. Materials, 2021, vol. 14, iss. 23. DOI: https://doi.org/10.3390/ma14237467.
  7. Portela C.M., Greer J.R., Kochmann D.M. Impact of node geometry on the effective stiffness of non-slender three-dimensional truss lattice architectures. Extreme mechanics letters, 2018, vol. 22, pp. 138–148. DOI: https://doi.org/10.1016/j.eml.2018.06.004.
  8. Nikitsin A.V. Opredelenie mekhanicheskikh kharakteristik biokompozita kost–titan na osnovanii dannykh kompyuternoy tomografii i konechno-elementnogo modelirovaniya [Estimation of the mechanical properties for bone – titanium biocomposite based on computed tomography data and finite element modeling]. Journal of the Belarusian State University. Mathematics and informatics, 2020, no. 2, pp. 79–85. DOI: https://doi.org/10.33581/2520-6508-2020-2-79-85 (in Russ.).
  9. Nikitsin A.V., Mikhasev G.I. Otsenka effektivnogo modulya Yunga poristogo titana s otkrytymi porami na osnove trekhmernogo massiva yacheek Gibsona–Eshbi [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, 2022, no. 1, pp. 75–82. DOI: https://doi.org/10.33581/2520-6508-2022-1-75-82 (in Russ.).
  10. Lascano S., et al. Porous titanium for biomedical applications: evaluation of the conventional powder metallurgy frontier and space-holder technique. Applied sciences, 2019, vol. 9, iss. 5. DOI: https://doi.org/10.3390/app9050982.
  11. Uhlířová T., Pabst W. Conductivity and Young’s modulus of porous metamaterials based on Gibson — Ashby cells. Scripta materialia, 2019, vol. 159. DOI: https://doi.org/10.1016/j.scriptamat.2018.09.005.
  12. Mikhasev G.I., Tovstik P.E. Lokalizovannye kolebaniya i volny v tonkikh obolochkakh. Asimptoticheskie metody [Localized vibrations and waves in thin shells. Asymptotic methods]. Moscow, Fizmatlit Publ., 2009. 291 p. (in Russ.).
  13. Thelen S., Barthelat F., Brinson L.C. Mechanics considerations for microporous titanium as an orthopedic implant material. Journal of biomedical materials research. Part A, 2004, vol. 69A, iss. 4, pp. 601–610. DOI: https://doi.org/10.1002/jbm.a.20100.
  14. Davis N.G., Teisen J., Schuh C., Dunand D.C. Solid-state foaming of titanium by superplastic expansion of argon-filled pores. Journal of materials research, 2001, vol.16, iss. 5. DOI: https://doi.org/10.1557/JMR.2001.0210.