Abstract
Intramedullary nailing, which is positioned inside a long bone as a human femur, has been used to fix fractured bones during the healing process, sharing the mechanical loads with bone. To achieve a good fracture consolidation, the available mechanical load has to be sufficient to activate completely the healing process. Thus, the estimation of the level of mechanical load, that is effectively shared between nailing and bone, is an important variable to be accessed. To reach this objective, an analytical model based in mechanics of solids, is presented to describe, at a femur diaphyseal cross section, the load share between bone and nailing. Also, the results of an elastic finite element model is provided as a reference. The results obtained show a good correspondence between models.
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José R.O.S. Neto is grateful for scholarship granted by CEFET/RJ.
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Appendix
Appendix
The geometric expressions for both, hollow cylinders for bone and for nailing are explicitated in Table 2. These expressions are used in Table 3.
Note that the cross section geometric parameters of bone as area, area moment of inertia, polar area moment of inertia can be different for each part of L/2 vertical length. Table 3 presents the stiffness calculations, using Castigliano’s theorem (see Crandall et al. [14]), which in turn were used in Table 1 (Fig. 6).
Yellow circles drawn at bone external positions of the bone cross section 2: one tangent to inner positions and the other tangent to outer positions (Colour figure online)
Note that the bone and nailing stiffnesses for shear were not calculated, because they were considered not significant.
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Kenedi, P.P., Neto, J.R.O.S., Rodarte, R.R.P. (2019). On the Load Share Between Nailing and Bone. In: Costa-Felix, R., Machado, J., Alvarenga, A. (eds) XXVI Brazilian Congress on Biomedical Engineering. IFMBE Proceedings, vol 70/1. Springer, Singapore. https://doi.org/10.1007/978-981-13-2119-1_21
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DOI: https://doi.org/10.1007/978-981-13-2119-1_21
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