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Comparative Study of the Influence of Statistically Distributed Microscopic Quantities on the Damage in Collagenous Tissues
Author(s) -
Schmidt Thomas,
Balzani Daniel,
Holzapfel Gerhard A.
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310019
Subject(s) - fibril , collagen fibril , proteoglycan , finite element method , orientation (vector space) , collagen fiber , fiber , biophysics , materials science , chemistry , physics , anatomy , composite material , extracellular matrix , mathematics , biology , geometry , thermodynamics , biochemistry
In this contribution we investigate the influence of dispersed microscopic quantities on the damage behavior in collagenous tissues. Therefore, we derive a damage model, that may take into account statistical distributions of collagen fiber properties. In detail, we regard distributions of the orientation of fibril‐interconnecting proteoglycan (PG) bridges and of an internal fibril length parameter. The damage model is embedded into the constitutive framework from [1] and a numerical example in a finite element framework is given. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)