Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Modeling of anisotropic hyperelasticity and discontinuous damage in arterial walls based on polyconvex stored energy functions

D. Balzania,*, J. Schröderb, D. Gross
aInstitute of Mechanics, Technical University of Darmstadt, Department of Mechanics (AG 4), Hochschulstr. 1, 64289 Darmstadt, Germany bInstitute of Mechanics, University of Duisburg-Essen, Campus Essen, Department of Civil Engineering (FB 10), Universitaetsstr. 15, 45117 Essen, Germany
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ABSTRACT
In this paper an anisotropic damage model is proposed respecting discontinuous damage effects observed in a certain range of over-expansion of arteries. The model is applied to a polyconvex stored energy function for transversely isotropic hyperelasticity, which possesses the advantage of avoiding material instabilities in the elastic range. Numerical examples are presented in order to provide an insight into the performance of the proposed model.

Keywords:  Arterial walls; Soft tissues; Polyconvex energy; Anisotropic; Hyperelastic; Damage
* Corresponding author. Tel.: +49 2011 833 142; Fax: +49 2011 832680; E-mail: balzani@mechanik.tu-darmstadt.de