THE ELASTOPLASTIC PROPERTIES OF THE TRABECULAR BONE TISSUE

  • Gleb Panfilov Ural Federal University named after the first President of Russia B.N. Yeltsin
  • Mikhail Gilev Ural State Medical University, Institute of High Temperature Electrochemistry of the Ural Branch of the Russian Academy of Sciences
  • Maria Izmodenova Ural State Medical University
  • Dmitry Zaytsev Ural Federal University named after the first President of Russia B.N. Yeltsin, Institute of High Temperature Electrochemistry of the Ural Branch of the Russian Academy of Sciences
Keywords: trabecular bone tissue, deformation behavior, uniaxial compression, nonreversible deformation

Abstract

The trabecular bone tissue is a natural composite material with the developed hierarchical structure. The detailed study of its mechanical properties is important both for understanding the mechanism of injury production and for developing the optimal designs for osteosynthesis, prosthetics, and replacement of bone defects. The study of mechanical behavior of the trabecular bone under the cyclic loading is fundamental for the formation of current approaches to the prevention, as well as to the conservative and surgical treatment of fractures, as the bone tissue has different strength in different parts of the skeleton.

The authors studied the uniaxial compression deformation behavior using five cylindrical specimens made from fragments of the trabecular bone tissue of lateral condyle of the tibia. The ratios of elastic and nonreversible deformations in the trabecular bone tissue of the subchondral area of the tibia under the uniaxial compression were investigated depending on the magnitude of the applied load and the total deformation. The authors carried out phased loading with the step of 0.5 % to 10 % of deformation and then with the step of 1 % to 15 % of deformation. The study showed that the trabecular bone is deformable both elastically and plastically. The elastic properties of bone tissue slightly decrease only with the appearance of macroscopic cracks in the sample. Thanks to the high porosity (30–90 %) and organic components, the trabecular bone is significantly deformable. The deformation of less than ~3 % is elastic and, therefore, does not lead to nonreversible changes in the trabecular bone tissue. With deformations exceeding 3 %, the nonreversible changes in the microstructure causing a depressed fracture of the limb bones take place in the bone tissue.

Author Biographies

Gleb Panfilov , Ural Federal University named after the first President of Russia B.N. Yeltsin

graduate student of Chair “Physics of Condensed Matter and Nanosized Systems”

Mikhail Gilev , Ural State Medical University, Institute of High Temperature Electrochemistry of the Ural Branch of the Russian Academy of Sciences

PhD (Medicine), Associate Professor, assistant professor of Chair “Operative Surgery and Topographic Anatomy”, Head of laboratory “Medical Materials Science and Bioceramics”

Maria Izmodenova , Ural State Medical University

student of Pediatrics Faculty

Dmitry Zaytsev , Ural Federal University named after the first President of Russia B.N. Yeltsin, Institute of High Temperature Electrochemistry of the Ural Branch of the Russian Academy of Sciences

Doctor of Sciences (Physics and Mathematics), assistant professor of Chair “Physics of Condensed Matter and Nanosized Systems”, leading researcher of laboratory “Medical Materials Science and Bioceramics”

References

1. Damm N.B., Morlock M.M., Bishop N.E. Influence of trabecular bone quality and implantation direction on press-fit mechanics. Journal of Orthopaedic Research, 2017, vol. 35, no. 2, pp. 224–233.
2. De Bakker C.M.J., Tseng W.J., Li Y., Zhao H., Liu X.S. Clinical Evaluation of Bone Strength and Fracture Risk. Current Osteoporosis Reports, 2017, vol. 15, no. 1, pp. 32–42.
3. Georgiou L., Kivell T.L., Pahr D.H., Skinner M.M. Trabecular bone patterning in the hominoid distal femur. PeerJ, 2018, no. 7, pp. 5156.
4. Chang G., Boone S., Martel D., Rajapakse C.S., Hallyburton R.S., Valko M., Honig S., Regatte R.R. MRI assessment of bone structure and microarchitecture. Journal of Magnetic Resonance Imaging, 2017, vol. 46, no. 2, pp. 323–337.
5. Rudäng R., Darelid A., Nilsson M., Mellström D., Ohlsson C., Lorentzon M. X-ray-verified fractures are associated with finite element analysis-derived bone strength and trabecular microstructure in young adult men. Journal of Bone and Mineral Research, 2013, vol. 28, no. 11, pp. 2305–2316.
6. De Bakker C.M., Li Y., Zhao H., Leavitt L., Tseng W.J., Lin T., Tong W., Qin L., Liu X.S. Structural Adaptations in the Rat Tibia Bone Induced by Pregnancy and Lactation Confer Protective Effects Against Future Estrogen Deficiency. Journal of Bone and Mineral Research, 2018, vol. 33, no. 12, pp. 2165–2176.
7. De Bakker C.M.J., Tseng W.J., Li Y., Zhao H., Altman-Singles A.R., Jeong Y., Robberts J., Han L., Kim D.G., Sherry Liu X. Reproduction Differentially Affects Trabecular Bone Depending on Its Mechanical Versus Metabolic Role. Journal of Biomechanical Engineering, 2017, vol. 139, no. 11, p. 111006.
8. De Bakker C.M., Altman-Singles A.R., Li Y., Tseng W.J., Li C., Liu X.S. Adaptations in the Microarchitecture and Load Distribution of Maternal Cortical and Trabecular Bone in Response to Multiple Reproductive Cycles in Rats. Journal of Bone and Mineral Research, 2017, vol. 32, no. 5, pp. 1014–1026.
9. Edd S.N., Omoumi P., Andriacchi T.P., Jolles B.M., Favre J. Modeling knee osteoarthritis pathophysiology using an integrated joint system (IJS): a systematic review of relationships among cartilage thickness, gait mechanics, and subchondral bone mineral density. Osteoarthritis and Cartilage, 2018, vol. 26, no. 11, pp. 1425–1437.
10. Hammond M.A., Wallace J.M., Allen M.R., Siegmund T. Mechanics of linear microcracking in trabecular bone. Journal of Biomechanics, 2019, vol. 83, pp. 34–42.
11. Bakalova L.P., Andreasen C.M., Thomsen J.S., Brüel A., Hauge E.M., Kiil B.J., Delaisse J.M., Andersen T.L., Kersh M.E. Intracortical Bone Mechanics Are Related to Pore Morphology and Remodeling in Human Bone. Journal of Bone and Mineral Research, 2018, vol. 33, no. 12, pp. 2177–2185.
12. Currey J. The mechanical adaptations of bones. New Jersey, Princeton University Press, 1984. 306 p.
13. Milovanovic P., Djonic D., Hahn M., Amling M., Busse B., Djuric M. Region-dependent patterns of trabecular bone growth in the human proximal femur: A study of 3D bone microarchitecture from early postnatal to late childhood period. American Journal of Physical Anthropology, 2017, vol. 164, no. 2, pp. 281–291.
14. Cui W.Q., Won Y.Y., Baek M.H., Lee D.H., Chung Y.S., Hur J.H., Ma Y.Z. Age-and region-dependent changes in three-dimensional microstructural properties of proximal femoral trabeculae. Osteoporosis International, 2008, vol. 19, no. 11, pp. 1579–1587.
15. Hsu P.Y., Tsai M.T., Wang S.P., Chen Y.J., Wu J., Hsu J.T. Cortical Bone Morphological and Trabecular Bone Microarchitectural Changes in the Mandible and Femoral Neck of Ovariectomized Rats. PLoS ONE, 2016, vol. 11, no. 4, pp. 0154367.
16. Ryan T.M., Krovitz G.E. Trabecular bone ontogeny in the human proximal femur. Journal of Human Evolution, 2006, vol. 51, no. 6, pp. 591–602.
17. Avrunin A.S., Doktorov A.A. Biologically rational ways of bone loss prophylaxis and treatment. Travmatologiya i ortopediya Rossii, 2015, no. 4, pp. 131–143.
18. Yakimov L.A., Slinyakov L.Yu., Bobrov D.S., Kalinskiy E.B., Lyakhov E.V. Biodegradable implants. Formation and development. Advanteges and drawbacks (Review of literature). Kafedra travmatologii i ortopedii, 2017, no. 1, pp. 44–49.
19. Sidorov S.V. Elastic stable femoral ostheosynthesis in young children. Detskya khirurgiya, 2012, no. 4, pp. 19–20.
20. Mishchenko O.N., Kopchak A.V., Krishchuk N.G., Skiba I.A., Chernogorky D.M. Computer simulation of the stress-strain state of the “bone–implant” system when the implants made from zirconium alloys. Sovremennaya stomatologiya, 2017, no. 2, pp. 62–68.
Published
2019-12-30
Section
Technical Sciences