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A Biphasic Approach for the Simulation of Growth Processes in Soft Biological Tissues Incorporating Damage‐Induced Stress Softening
Author(s) -
Schmidt Thomas,
Balzani Daniel,
Ricken Tim,
Werner Daniel
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210037
Subject(s) - softening , finite element method , stress (linguistics) , phase (matter) , materials science , fiber , biological system , mechanics , function (biology) , porosity , structural engineering , composite material , computer science , chemistry , engineering , physics , biology , evolutionary biology , linguistics , philosophy , organic chemistry
In this contribution a coupled material framework is presented, which considers the effects of damage and growth in soft biological tissues. The tissue is described as a porous medium by taking into account a solid and a fluid phase. The fluid phase is assumed to carry nutrients supplying growth of the solid phase. The latter one is described as a fiber‐reinforced material, where a damage variable is introduced for the fiber part of the associated free energy function. The performance of the proposed model is demonstrated in a finite element analysis of a simplified human heart model. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)