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

Menzel, Andreas LU ; Harrysson, Magnus LU and Ristinmaa, Matti LU (2008) In Computer Methods in Biomechanics and Biomedical Engineering 11(5). p.505-524
Abstract
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... (More)
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. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Computer Methods in Biomechanics and Biomedical Engineering
volume
11
issue
5
pages
505 - 524
publisher
Taylor & Francis
external identifiers
  • wos:000260457900008
  • scopus:56949107109
ISSN
1025-5842
DOI
10.1080/10255840701771776
language
English
LU publication?
yes
id
688f2bae-bbff-4f57-be44-e1936df2523f (old id 610007)
date added to LUP
2008-02-14 18:13:11
date last changed
2017-08-06 03:42:27
@article{688f2bae-bbff-4f57-be44-e1936df2523f,
  abstract     = {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.},
  author       = {Menzel, Andreas and Harrysson, Magnus and Ristinmaa, Matti},
  issn         = {1025-5842},
  language     = {eng},
  number       = {5},
  pages        = {505--524},
  publisher    = {Taylor & Francis},
  series       = {Computer Methods in Biomechanics and Biomedical Engineering},
  title        = {Towards an orientation-distribution-based multi-scale approach for remodelling biological tissues},
  url          = {http://dx.doi.org/10.1080/10255840701771776},
  volume       = {11},
  year         = {2008},
}