Mathematical modelling of bone tissue destruction under dynamic load
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2010), pp. 28-37 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Mathematical models of deformation and destruction of a biocomposite, an analog of flat cortical and spongy bones of calvaria, at shock-wave loading have been proposed. Interaction of particles of steel compact cylindrical and spherical strikers with a bone tissue at impact velocity of 500 m/s has been researched by use of the method of computer simulation.
Keywords: mathematical simulation, bone, high-speed impact.
Mots-clés : biocomposite, destruction
@article{VTGU_2010_2_a3,
     author = {N. N. Belov and N. T. Yugov and A. N. Ishchenko and S. A.-R. Afanas'eva and M. V. Khabibullin and A. A. Yugov and A. L. Stukanov},
     title = {Mathematical modelling of bone tissue destruction under dynamic load},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {28--37},
     year = {2010},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_2_a3/}
}
TY  - JOUR
AU  - N. N. Belov
AU  - N. T. Yugov
AU  - A. N. Ishchenko
AU  - S. A.-R. Afanas'eva
AU  - M. V. Khabibullin
AU  - A. A. Yugov
AU  - A. L. Stukanov
TI  - Mathematical modelling of bone tissue destruction under dynamic load
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2010
SP  - 28
EP  - 37
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VTGU_2010_2_a3/
LA  - ru
ID  - VTGU_2010_2_a3
ER  - 
%0 Journal Article
%A N. N. Belov
%A N. T. Yugov
%A A. N. Ishchenko
%A S. A.-R. Afanas'eva
%A M. V. Khabibullin
%A A. A. Yugov
%A A. L. Stukanov
%T Mathematical modelling of bone tissue destruction under dynamic load
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2010
%P 28-37
%N 2
%U http://geodesic.mathdoc.fr/item/VTGU_2010_2_a3/
%G ru
%F VTGU_2010_2_a3
N. N. Belov; N. T. Yugov; A. N. Ishchenko; S. A.-R. Afanas'eva; M. V. Khabibullin; A. A. Yugov; A. L. Stukanov. Mathematical modelling of bone tissue destruction under dynamic load. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2010), pp. 28-37. http://geodesic.mathdoc.fr/item/VTGU_2010_2_a3/

[1] Nanotekhnologii v reshenii aktualnykh problem voenno-polevoi khirurgii, pod red. general-leitenanta med. sluzhby V.V. Shappo, prof. R.S. Bashirova, prof. A.A. Gaidash, Izd-vo TGU, Tomsk, 2007, 86 pp.

[2] Bergun P.I., Shukeilo Yu.A., Biomekhanika, Politekhnika, SPb., 2000, 463 pp.

[3] Belov N.N., Yugov N.T., Kopanitsa D.G., Yugov A.A., Dinamika vysokoskorostnogo udara i soputstvuyuschie fizicheskie yavleniya, STT, Northampton–Tomsk, 2005, 356 pp.

[4] Isaev A.L., Veldanov V.A., “Razrushenie betonnoi plity pri probitii ee zhestkim indentorom”, Dinamicheskaya prochnost i tverdostoikost konstruktsionnykh materialov, sb. statei, Izd-vo Kievskogo vysshego inzhenernogo uchilischa, Kiev, 1988, 134–139

[5] Belov N.N., Yugov N.T., Kopanitsa D.G. i dr., “Razrushenie zhelezobetonnykh plit pri vysokoskorostnom udare”, Vestnik TGASU, 2006, no. 1, 5–10

[6] Ischenko A.N., Belov N.N., Yugov N.T. i dr., “Dvukhparametricheskoe uravnenie sostoyaniya tkanei trubchatoi kosti”, Sovremennaya ballistika i smezhnye voprosy mekhaniki, Materialy Vserossiiskoi nauchnoi konferentsii, TGU, Tomsk, 2009, 221–223 | Zbl

[7] Geniev G.A., Kisyuk V.N., “K voprosu obobscheniya teorii prochnosti betona”, Beton i zhelezobeton, 1965, no. 2, 16–29

[8] Karlov A.V., Shakhov V.P., Sistemy vneshnei fiksatsii i regulyarnye mekhanizmy optimalnoi biomekhaniki, STT, Tomsk, 2001, 480 pp.

[9] Baum F.A., Orlenko M.P., Stanyukovich K.P. i dr., Fizika vzryva, Nauka, M., 1975, 704 pp.

[10] Yugov N.T., Belov N.N., Yugov A.A., Raschet adiabaticheskikh nestatsionarnykh techenii v trekhmernoi postanovke (RANET-3), Federalnaya sluzhba po intellektualnoi sobstvennosti, patentam i tovarnym znakam. Svidetelstvo o gosudarstvennoi registratsii programm dlya EVM No 2010611042, Moskva, 2010

[11] Gaidash A.A., Bashirov R.S., Polkovov S.V. i dr., “Tonkaya struktura kosti i razrushenie kostnoi tkani pri impulsnom nagruzhenii (k probleme udarno-volnovogo osteoporoza)”, Sovremennaya ballistika i smezhnye voprosy mekhaniki, Materialy Vserossiiskoi nauchnoi konferentsii, TGU, Tomsk, 2009, 11–14