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Towards an orientation-distribution-based multi-scale approach for remodelling biological tissues

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Author

Summary, in English

The mechanical behaviour of soft biological tissues is governed by phenomena occurring on different scales of observation. From the computational modelling point of view, a vital aspect consists of the appropriate incorporation of micromechanical effects into macroscopic constitutive equations. In this work, particular emphasis is placed on the simulation of soft fibrous tissues with the orientation of the underlying fibres being determined by distribution functions. A straightforward but convenient Taylor-type homogenisation approach links the micro- or rather meso-level of fibres to the overall macro-level and allows to reflect macroscopically orthotropic response. As a key aspect of this work, evolution equations for the fibre orientations are accounted for so that physiological effects like turnover or rather remodelling are captured. Concerning numerical applications, the derived set of equations can be embedded into a non-linear finite element context so that first elementary simulations are finally addressed.

Department/s

Publishing year

2008

Language

English

Pages

505-524

Publication/Series

Computer Methods in Biomechanics and Biomedical Engineering

Volume

11

Issue

5

Document type

Journal article

Publisher

Taylor & Francis

Topic

  • Mechanical Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 1025-5842