Section 6
A SimpleModel for Anisotropic Damage with Applications to Soft Tissues
Article first published online: 24 NOV 2004
DOI: 10.1002/pamm.200410099
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Balzani, D., Schröder, J. and Gross, D. (2004), A SimpleModel for Anisotropic Damage with Applications to Soft Tissues. Proc. Appl. Math. Mech., 4: 236–237. doi: 10.1002/pamm.200410099
Publication History
- Issue published online: 24 NOV 2004
- Article first published online: 24 NOV 2004
- Abstract
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Abstract
Arteries are reinforced by helically arranged collagen fibers and posses orthotropic elastic properties. In this paper a polyconvex anisotropic energy is used in order to guarantee the existence of minimizers for the purely elastic boundary value problem. Anisotropic discontinuous damage effects, which are induced by decreasing stiffness of particular fibers, are observed in a certain range of overexpansion. A simple thermodynamical consistent anisotropic damage model is constructed, basing on the assumption that damage mainly takes place in the fiber directions as a result of breakage of collagen cross-links.Finally a cycled overexpansion of a test material from an artery is analyzed in order to show the main characteristics of the proposed model. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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