On the nonlinear mechanical response of an arterial wall

Pubblicato

2005-07-01

On the nonlinear mechanical response of an arterial wall

Parole chiave:

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)

##submission.downloads##

PDF (English)

Autori

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.

Riferimenti bibliografici

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

Come citare

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 (lug. 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: 22 gen. 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), pagg. 145–153. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/94625 (Consultato: 22 gennaio 2025).

IEEE

[1]

Arcady V., «On the nonlinear mechanical response of an arterial wall», rev.colomb.mat, vol. 39, n. 2, pagg. 145–153, lug. 2005.

MLA

Arcady V. «On the nonlinear mechanical response of an arterial wall». Revista Colombiana de Matemáticas, vol. 39, n. 2, luglio 2005, pagg. 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 (luglio 1, 2005): 145–153. Consultato gennaio 22, 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 luglio 2005 [citato 22 gennaio 2025];39(2):145-53. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/94625