On the nonlinear mechanical response of an arterial wall

Publié-e

2005-07-01

On the nonlinear mechanical response of an arterial wall

Mots-clés :

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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Auteurs-es

Rostov State University, Russia

Résumé (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.

Références

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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

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Comment citer

APA

Arcady 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]

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

ACS

(1)

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

ABNT

ARCADY 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: 2 févr. 2025.

Chicago

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

Arcady V. (2005) « On the nonlinear mechanical response of an arterial wall », Revista Colombiana de Matemáticas, 39(2), p. 145–153. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/94625 (Consulté le: 2 février 2025).

IEEE

[1]

Arcady V., « On the nonlinear mechanical response of an arterial wall », rev.colomb.mat, vol. 39, nᵒ 2, p. 145–153, juill. 2005.

MLA

Arcady V. « On the nonlinear mechanical response of an arterial wall ». Revista Colombiana de Matemáticas, vol. 39, nᵒ 2, juillet 2005, p. 145-53, https://revistas.unal.edu.co/index.php/recolma/article/view/94625.

Turabian

Arcady V. « On the nonlinear mechanical response of an arterial wall ». Revista Colombiana de Matemáticas 39, no. 2 (juillet 1, 2005): 145–153. Consulté le février 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/94625.

Vancouver

1.

Arcady V. On the nonlinear mechanical response of an arterial wall. rev.colomb.mat [Internet]. 1 juill. 2005 [cité 2 févr. 2025];39(2):145-53. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/94625