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On Biological Activities in Organic Materials
Author(s) -
Ricken Tim
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510197
Subject(s) - transverse isotropy , isotropy , helmholtz free energy , materials science , mechanics , geotechnical engineering , physics , thermodynamics , geology , optics
Abstract In this contribution a triphasic model (solid, interstitial water containing nutrients) is proposed for the phenomenological description of transversely isotropic saturated tissues including the phenomena of growth. This is done within the framework of a macro‐mechanical description based on the Theory of Porous Media (TPM). Thereby, the constitutive equation of growth is determined by the state of stress and the local content of nutrients which are responsible for the mass exchange. The transversely isotropic behavior of the solid influences both the stress response and the internal fluid flow, which is considered using an invariant formulation of the Helmholtz free energy, transversely isotropic stress response and transversely isotropic permeability functions. After presenting the developed framework of the calculation method some representative numerical examples are examined. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)