Balzani, Daniel; Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg:
Large-scale simulation of arterial walls: mechanical modeling
2007
In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 7 (2007), Heft 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, S. 4020017 - 4020018
Artikel/Aufsatz in Zeitschrift / Fach: Bauwissenschaften
Titel:
Large-scale simulation of arterial walls: mechanical modeling
Autor(in):
Balzani, Daniel im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen; Brands, Dominik im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen; Klawonn, Axel im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen; Rheinbach, Oliver im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen; Schröder, Jörg im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen
Erscheinungsjahr:
2007
Erschienen in:
Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 7 (2007), Heft 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, S. 4020017 - 4020018
ISSN:
DOI:

Abstract:

Biological soft tissues appearing in arterial walls are characterized by a nearly incompressible, anisotropic hyperelastic material behavior in the physiological range of deformations. For the representation of such materials we apply a polyconvex strain energy function in order to ensure the existence of minimizers and in order to satisfy the Legendre-Hadamard condition automatically. When arteries are overstretched, discontinuous damage is observed. For the modeling of this effect we apply a damage model, which basically assumes that the damage occurs mainly in fiber direction. For the numerical simulation we consider an atherosclerotic artery and apply a high internal pressure which is comparable to the pressure applied during a balloon-angioplasty. The 3D-discretization results in a large system of equations, therefore, a parallel algorithm using FETI-DP is applied to solve the boundary value problem.