On the nonlinear mechanical response of an arterial wall

Arcady V. Sokolov

Publicado

2005-07-01

On the nonlinear mechanical response of an arterial wall

Palabras clave:

Deformation of a blood vessel, Model of an arterial wall, Nonlinear anisotropic theory of elasticity, Large deformations, 2000 Mathematics Subject Classification, Primary: 92C10, Secondary: 74B20 (en)

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Autores/as

Arcady V. Sokolov Rostov State University, Russia

Resumen (en)

Abstract. The nonlinear mechanical behavior of an arterial wall under the effect of a perivascular medium (muscular and areolar tissue) is investigated. The artery is modeled by an anisotropic, incompressible, nonlinear, elastic, two-layer, thick-walled tube under torsion, tension, and inflation. The arterial vessel is assumed to be surrounded by an elastic medium with the property of Winkler’s foundation. An analytical expression for the components of the stress tensor is established. Comparative analysis of perivascular media is carried out.

Referencias

V. F. Ananin, Bioregulation of the person. Bioregulation vasomotorial systems, Biomedinform, 1996

G. A. Holzapfel, T. C. Gasser and R. W. Ogden, A new constitutive framework for arterial wall mechanics and a comparative study of material models, Journal of elasticity 61 (2000), 1-48

A. I. Lurie, Nonlinear Theory of Elasticity, Nauka, Moscow, 1980.

A. I. Martynov, O. D. Ostroumova, V. I. Mamaev, N. E. Sharkova, I. E. Rybkin and A. A. Zykova, Feature of an extensibility of peripheral arteries at essential hypertensions, Terapevticheskii arkhiv 4 (2002), 85-88.

A. S. Obysov, Reliability of biological fabrics, Medicina, Moscow, 1971

B. A. Purinja and V. A. Kasyanov, Biomechanics of large blood vessels of the human, Zynatne, Riga, 1980

V. V. Serov and V. S. Paukov, UltrastructuraVs pathology, Medicina, Moscow, 1975

V. V. Serov and A. B. Shekhter, Areolar tissue (Functional morphology and a general pathology), Medicina, Moscow, 1981

Cómo citar

APA

Sokolov, A. V. (2005). On the nonlinear mechanical response of an arterial wall. Revista Colombiana de Matemáticas, 39(2), 145–153. https://revistas.unal.edu.co/index.php/recolma/article/view/94625

ACM

[1]

Sokolov, A.V. 2005. On the nonlinear mechanical response of an arterial wall. Revista Colombiana de Matemáticas. 39, 2 (jul. 2005), 145–153.

ACS

(1)

Sokolov, A. V. On the nonlinear mechanical response of an arterial wall. rev.colomb.mat 2005, 39, 145-153.

ABNT

SOKOLOV, A. V. On the nonlinear mechanical response of an arterial wall. Revista Colombiana de Matemáticas, [S. l.], v. 39, n. 2, p. 145–153, 2005. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/94625. Acesso em: 7 feb. 2026.

Chicago

Sokolov, Arcady V. 2005. «On the nonlinear mechanical response of an arterial wall». Revista Colombiana De Matemáticas 39 (2):145-53. https://revistas.unal.edu.co/index.php/recolma/article/view/94625.

Harvard

Sokolov, A. V. (2005) «On the nonlinear mechanical response of an arterial wall», Revista Colombiana de Matemáticas, 39(2), pp. 145–153. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/94625 (Accedido: 7 febrero 2026).

IEEE

[1]

A. V. Sokolov, «On the nonlinear mechanical response of an arterial wall», rev.colomb.mat, vol. 39, n.º 2, pp. 145–153, jul. 2005.

MLA

Sokolov, A. V. «On the nonlinear mechanical response of an arterial wall». Revista Colombiana de Matemáticas, vol. 39, n.º 2, julio de 2005, pp. 145-53, https://revistas.unal.edu.co/index.php/recolma/article/view/94625.

Turabian

Sokolov, Arcady V. «On the nonlinear mechanical response of an arterial wall». Revista Colombiana de Matemáticas 39, no. 2 (julio 1, 2005): 145–153. Accedido febrero 7, 2026. https://revistas.unal.edu.co/index.php/recolma/article/view/94625.

Vancouver

1.

Sokolov AV. On the nonlinear mechanical response of an arterial wall. rev.colomb.mat [Internet]. 1 de julio de 2005 [citado 7 de febrero de 2026];39(2):145-53. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/94625