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A Biphasic Approach for the Simulation of Growth Processes in Soft Biological Tissues Incorporating Damage-Induced Stress Softening
Authors:Thomas Schmidt  Daniel Balzani  Tim Ricken  Daniel Werner
Affiliation:1. Universität Duisburg-Essen, Fakultät für Ingenieurwissenschaften, Abteilung Bauwissenschaften, Institut für Mechanik, Universitätsstr. 15, 45117 Essen;2. Technische Universität Dortmund, Fakultät Architektur und Bauingenieurwesen, Institut für Mechanik Statik Dynamik, August-Schmidt-Str. 6, 44227 Dortmund
Abstract: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)
Keywords:
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