Abstract

SOKOLOV, Arcady V.. On the Nonlinear Mechanical Response of an Arterial Wall. Rev.colomb.mat. [online]. 2005, vol.39, n.2, pp.145-153. ISSN 0034-7426.

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 in ation. 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.

Keywords : Deformation of a blood vessel; Model of an arterial wall; Nonlinear anisotropic theory of elasticity; Large deformations.

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