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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/610007
- author
- Menzel, Andreas
LU
; Harrysson, Magnus
LU
and Ristinmaa, Matti
LU
- organization
- publishing date
- 2008
- 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
- pmid:19230147
- 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
- 2016-04-01 12:09:51
- date last changed
- 2022-04-29 01:34:12
@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}},
doi = {{10.1080/10255840701771776}},
volume = {{11}},
year = {{2008}},
}