Geodesic
Modeling of hernia stress-deformed condition
Matematičeskaâ biologiâ i bioinformatika, Tome 3 (2008) no. 2, pp. 79-84 
A. A. Kuzin; R. A. Kuzin; A. G. Khakimov. Modeling of hernia stress-deformed condition. Matematičeskaâ biologiâ i bioinformatika, Tome 3 (2008) no. 2, pp. 79-84. http://geodesic.mathdoc.fr/item/MBB_2008_3_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Stress-deformed condition of a membrane has been modelled. The critical radius for a spherical membrane is shown to be half as much again the radius of a non-deformed one. It has been found that upon reaching a critical pressure the membrane may further grow under reduced pressure. Reinforcement of the areas of weakness in the abdominal wall with a tendon of the latissimus dorsi muscle during the surgical procedure allows to reduce the sag significantly and enlarge the critical intracavitary pressure up to acceptable values.

[1] Berezovskii V. A., Kolotilov N. N., Biofizicheskie kharakteristiki tkanei cheloveka. Spravochnik, Nauk. dumka, Kiev, 1990, 224 pp.

[2] Brankov G., Osnovy biomekhaniki, Mir, Moskva, 1981, 256 pp. | MR

[3] Ermolov V. V., Soobscheniya laboratorii myagkikh obolochek, Vyp. 14, DVVIMU TsBNTI MMF, Vladivostok, 1971, 81–86

[4] Kuzin A. A., Khakimov A. G., Yukhin G. P., Modelirovanie napryazhenno-deformirovannogo sostoyaniya myagkoi obolochki (gryzhi), Preprint Instituta mekhaniki UNTs RAN, Institut mekhaniki UNTs RAN, Ufa, 1998, 32 pp. | Zbl

[5] Kuzin A. A., Khakimov A. G., Yukhin G. P., “Mathematical modelling of membrane (hernia) stress-deformed condition”, Russian Journal of Biomechanics, 5:4 (2001), 90–96