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Volume 5, Number 1, March 2020

This paper investigated vibrational behavior of the osteon as bone unit in the different situations. This study can lead to increase our knowledge of our body. In this paper free vibration of the osteon with considering it as composite material has been studied. The effect of numbers of lamellae and radius of those on natural frequency of osteon are subtle; while thickness of lamellae have decreasing trend on natural frequency of osteon. The presence of nerve and blood in haversian canal change trend of natural frequency, absolutely. Using the nonlocal strain gradient theory (NSGT) leads to effectiveness of scale parameter on equations of motion and the obtained results. The governing equations are derived by Hamilton\'s principles. A parametric study is presented to examine the effect of various parameters on vibrational behaviour of osteon. The results can also be regarded as a benchmark in vibration analysis behavior of osteon as bone unite.

Key Words
bone; lamellae; osteon; haversian sys; free vibration

Farzad Ebrahimi and Farin Zokaee: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

Total hip prosthesis is used for the patients who have hip fracture and are unable to recover naturally. To de-sign highly durable prostheses one has to take into account the natural processes occurring in the bone. Finite element analysis is a computer based numerical analysis method which can be used to calculate the response of a model to a set of well-defined boundary conditions. In this paper, the static load analysis is based, by se-lecting the peak load during the stumbling activity. Two different implant materials have been selected to study appropriate material. The results showed the difference of maximum von Misses stress and detected the frac-ture of the femur shaft for different model (Charnley and Osteal) implant with the extended finite element method (XFEM), and after the results of the numerical simulation of XFEM for different was used in deter-mining the stress intensity factors (SIF) to identify the crack behavior implant materials for different crack length. It has been shown that the maximum stress intensity factors were observed in the model of Charnley.

Key Words
totalhip prosthesis (THP); extended finite element method (XFEM); bone fracture; femur; stumbling; stress intensity factor (SIF)

Zagane Mohammed El Sallah: Department of Mechanical Engineering, Faculty of Science Appliqué, University of Tiaret, City Zaaroura, BP 78, Tiaret, Algeria; Department of Mechanical Engineering, University of Sidi Bel Abbes,
LMPM, BP 89, Cite Ben M\'hidi, Sidi Bel Abbes 22000, Algeria
Benouis Ali: Department of Mechanical Engineering, University of Sidi Bel Abbes, LMPM, BP 89, Cite Ben M\'hidi, Sidi Bel Abbes 22000, Algeria; University of Moulay, Tahar Saida, City Ennasr, BP 138 20000 Saïda, Algeria
Sahli Abderahmen: Department of Mechanical Engineering, University of Sidi Bel Abbes, LMPM, BP 89, Cité Ben M\'hidi, Sidi Bel Abbes 22000, Algeria

We carry the knowledge that the skeleton bones of the human body are not always without defects and some various defects could occur in them. In the present paper, as the first endeavor, free vibration and buckling analysis of femur bones with femoral defects are investigated. A major strength of this study is the modeling of defects in femur bones. Materialise Mimics software is adopted to model the bone geometry and the SOLIDWORKS software is used to generate the defects in bones. Next, the ABAQUS software is employed to study the behaviors of bones with defects.

Key Words
femur bone; femoral defects; 3D non-homogeneous model; free vibration; buckling

Saleh Mobasseri, Mehdi Sadeghi, Maziar Janghorban: Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Abdelouahed Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department,
University of Sidi Bel Abbes, Algeria

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