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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011 Number 1(13), Pages 130–135 (Mi vtgu182)

MECHANICS

Aneurism formation in capillaries

O. G. Shilovaa, I. I. Klykovb, V. S. Poponinc, A. V. Kosheutovd

a Siberian State Medical University
b Tomsk State University
c Tomsk State University
d Tomsk Polytechnic University

Abstract: Large-scale deformations of a homogeneous sphere and a cylinder obeying Hooke's law were considered. It was shown that, under certain conditions, the deformations acquire catastrophic character. The magnitude of pressure and strength properties of vessels at which the deformations are boosting at high rates were estimated.

Keywords: wall of capillary, elastic material, high deformations, critical pressure, vessel rupture.

UDC: 536.25


Accepted: September 5, 2010



© Steklov Math. Inst. of RAS, 2026