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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013 Issue 3(32), Pages 129–135 (Mi vsgtu1254)

This article is cited in 2 papers

Mathematical Modeling

Bilayer mathematical model of human femur neck for research of the stress state after reinforcement with different designs of implants

A. V. Nekhozhin

Samara State Technical University, Samara, 443100, Russia

Abstract: A bilayer mathematical model of human femur neck reinforced with implants of various designs is represented. New models of implants are designed. The software for geometric modeling of bone with the implant is developed. The rational geometry for placing implants into the bone tissue to unload the most loaded areas is proposed. A number of boundary value problems for evaluating the stress-strain state in the reinforced femoral neck are solved. It is shown that stress state in the most loaded region in the reinforced construction is considerably less than in the non-reinforced one.

Keywords: femur, cortical and cancellous bone tissue, implant, reinforcement, geometric modeling, finite element method, stress-strain state, mechanical properties of bone.

UDC: 616.71-001.5:539.4.014.1

MSC: Primary 97M60; Secondary 74L15, 74S05

Original article submitted 01/VII/2013
revision submitted – 22/VIII/2013

DOI: 10.14498/vsgtu1254



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