Abstract
The aim of this study is to develop an approach to assessing the strength of the femur after sectoral resection in cases of benign bone tumors, tumor-like and metastatic lesions. The proposed approach is based on the finite element calculation of dangerous volumes in the area of bone defect. Load is static and equivalent to average human weight. Model of the femur is based on tomographic data. Postresection defect is localized in the middle third of the lateral side of the femur. As a conditions for the selection of dangerous volume fracture criterion Coulomb–Mohr is used. The analysis of damage near the concentrators of the bone defect is carried out for different loads. The domain of the bone defect with the largest damage is determined. For concentrators of the postresection hole the emergence and growth of crack is considered as a change of the dangerous volume with taking account the removal of the damaged finite elements. The ranges of the load corresponding to the various cases of damage development are determined. Three options to compensate for bone strength and the prevention the pathological bone fracture after sectoral resection are suggested.
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Acknowledgement
The study was supported the State Committee on Science and Technology of the Republic of Belarus (the project “Development of a mathematical model and the calculation program of strength characteristics of human long bones when performing of sectoral resection”).
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Bosiakov, S., Alekseev, D., Shpileuski, I. (2015). Damage Prediction of the Femur with Postresection Defect. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_82
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DOI: https://doi.org/10.1007/978-3-319-12577-0_82
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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