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A SimpleModel for Anisotropic Damage with Applications to Soft Tissues
Author(s) -
Balzani Daniel,
Schröder Jörg,
Gross Dietmar
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410099
Subject(s) - orthotropic material , anisotropy , stiffness , breakage , materials science , boundary value problem , fiber , composite material , mechanics , structural engineering , physics , mathematics , mathematical analysis , engineering , finite element method , optics
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)