On the nonlinear mechanical response of an arterial wall

Veröffentlicht

2005-07-01

On the nonlinear mechanical response of an arterial wall

Schlagworte:

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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Autor/innen

Rostov State University, Russia

Abstract (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.

Literaturhinweise

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

Zitationsvorschlag

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 (Juli 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 feb. 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), S. 145–153. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/94625 (Zugegriffen: 2 Februar 2025).

IEEE

[1]

Arcady V., „On the nonlinear mechanical response of an arterial wall“, rev.colomb.mat, Bd. 39, Nr. 2, S. 145–153, Juli 2005.

MLA

Arcady V. „On the nonlinear mechanical response of an arterial wall“. Revista Colombiana de Matemáticas, Bd. 39, Nr. 2, Juli 2005, S. 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 (Juli 1, 2005): 145–153. Zugegriffen Februar 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. Juli 2005 [zitiert 2. Februar 2025];39(2):145-53. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/94625