Geodesic
Bilayer mathematical model of human femur neck for research of the stress state after reinforcement with different designs of implants
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2013), pp. 129-135.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, reinforcement, geometric modeling, finite element method, stress-strain state, mechanical properties of bone.
Mots-clés : implant 
@article{VSGTU_2013_3_a11,
     author = {A. V. Nekhozhin},
     title = {Bilayer mathematical model of human femur neck for research of the stress state after reinforcement with different designs of implants},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {129--135},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_3_a11/}
}
TY  - JOUR
AU  - A. V. Nekhozhin
TI  - Bilayer mathematical model of human femur neck for research of the stress state after reinforcement with different designs of implants
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2013
SP  - 129
EP  - 135
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2013_3_a11/
LA  - ru
ID  - VSGTU_2013_3_a11
ER  - 
%0 Journal Article
%A A. V. Nekhozhin
%T Bilayer mathematical model of human femur neck for research of the stress state after reinforcement with different designs of implants
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2013
%P 129-135
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2013_3_a11/
%G ru
%F VSGTU_2013_3_a11
A. V. Nekhozhin. Bilayer mathematical model of human femur neck for research of the stress state after reinforcement with different designs of implants. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2013), pp. 129-135. http://geodesic.mathdoc.fr/item/VSGTU_2013_3_a11/

[1] A. L. Matveev, Operative way of femoral neck fractures preventing, Invention patents of the Russian Federation. No. 2316280 of February 10, 2008

[2] V. P. Radchenko, A. V. Nekhozhin, A. L. Matveev, “Mathematical modeling of the stress state of reinforced bone tissue of the femoral neck with static load”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2011, no. 4(25), 75–81 | DOI

[3] Yu. I. Afanas'yev, N. A. Yurina, Ye. F. Kotovskiy, Histology, Meditsina, M., 2002, 774 pp.

[4] G. I. Rogozhnikov, S. G. Konyuhova, Yu. I. Nyashin, S. A. Chernopazov, S. V. Eremina, “The influence of elasticity modulus of spongy and cortical bone on stress state near planar implant under occlusal load”, Russian Journal of Biomechanics, 8:1 (2004), 54–60

[5] N. Harlan, “Titanium Bone Implants”, Materials Technology, 15:3 (2000), 185–187

[6] N. Harlan, R. Reyes, D. L. Bourell, J. J. Beaman, “Titanium Castings using Laser Scanned Data and Selective Laser Sintered Zirconia Molds”, ASM Journal of Materials Engineering Performance, 10:4 (2001), 410–413 | DOI

[7] N. Harlan, R. Reyes, D. L. Bourell, “Building Better Bones”, Foundry Management Technology, 128:8 (2000), 82–83

[8] A. L. Matveyev, A. V. Nekhozhin, I. I. Matveyeva, “Implants for reinforcement of the femoral neck to prevent fractures in osteoporotic”, Actual problems of diagnosis, treatment and rehabilitation of patients, Penza, 2011, 160–162

[9] B. Sh. Minasov, M. Yu. Khanin, P. P. Yakupov, T. B. Minasov, “The results of bone – implant – bone bench tests of standard osteosynthesis during fractures of the proximal part of the thigh bone”, Kazanskiy Medicinskiy Zhurnal, 91:1 (2010), 40–44

[10] H. Vinz, “Change in the mechanical properties of human compact bone tissue upon aging”, Mechanics of Composite Materials, 11:4 (1975), 568–571 | DOI

[11] A. A. Uten'kin, “Bone is a multi-storey composite”, Khimiya i Zhizn', 1981, no. 4, 38–40

[12] T. B. Minasov, A. E. Strizhkov, L. M. Bakusov, R. V. Nasyrov, Structural self-organization of bone tissue and its mechanisms as a source of diagnostic information, Ufa, 2010, 116 pp.

[13] R. Liayouni, “To a question on mechanical charecteristics bone tissue”, Physical education of students of creative disciplines, v. 4, Khar'kov, 2002, 18–22