PSI - Issue 47

Duc Quan Pham et al. / Procedia Structural Integrity 47 (2023) 945–951

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Pham Duc Quan et al. / Structural Integrity Procedia 00 (2019) 000–000

The next step was to prove the correspondence of the results of the simplified model to the results of the main model. After getting the results of numerical modelling of the stress-strain state of the simplified models, the stiffness value of volume and rod setups was compared. This comparison is shown in Fig. 8.

Fig. 8. Histogram of stiffness of the systems in volume and rod setups.

Considering the results, the correspondence between volume and rod setups can be proved, which allows to use simplified model for further calculations which will make them more efficient. 4. Conclusion According to the results of the researches, in this paper, working models for predicting the stiffness of the "Bone – RAEF" system and their possible modifications were obtained. The model was obtained in a rod setup, which made it possible to reduce the complexity of calculations and at the same time maintain sufficient accuracy for a qualitative assessment of the modification of "Bone – RAEF" systems, as shown in Fig. 8. After analyzing the obtained results of the modified systems, the best path for modernization was obtained. The cases of different types of simple load are also taken into account and the calculation results are compared, as shown in Fig. 7., which makes it possible to use the data of the model for more complex types of load. It is shown that the system with modernization will have the greatest stiffness with inner rods located at an angle 60 ⁰ to the axis of the bone. References Berezovskiy V.A., Kolotilov N.N., 1990. Biofizicheskie harakteristiki tkaney cheloveka [Biophysical characteristics of human tissues]. Spravochnik. K.: Naukova dumka, 224. (in Russian). Cook, Robert Davis. 1995 Finite element modeling for stress analysis. Wiley. Ishchenko, A.N., Belov, N.N., Ga ǐ dash, A.A., Iugov, N.T., Bashirov, R.S., Afanas'eva, S.A., Sinitsa, L.N., 2011. Structural mechanisms and mathematical modeling of the bone tissue damage caused by hyper-speed impact. Voenno-meditsinski ǐ zhurnal, 332 (3), 15–23. Kim Suk-Hun, Chang Seung-Hwan, Son Dae-Sung, 2011. Finite element analysis of the effect of bending stiffness and contact condition of composite bone plates with simple rectangular cross-section on the bio-mechanical behaviour of fractured long bones. Composites Part B: Engineering, 42 (6), 1731–1738. Korzh M.O., Romanenko K.K., Prozorovskyi D.V., Karpinskyi M.Iu., Yaresko O.V., 2016. Matematychne modeliuvannia vplyvu deformatsii kistok homilky na navantazhennia suhlobiv nyzhnoi kintsivky [Mathematical modeling of the influence of the deformation of the lower leg bones on the load on the joints of the lower limb]. TRAUMA, 17 (3), 23–24. (in Ukrainian). Shydlovs’kyi M. S., Musienko O. S., Laksha A. A., 2021. The Effect of Gunshot Injuries of the Bone Tissue on Its Mechanical Characteristics. Strength of Materials, 53 (3), 463–470.