dc.contributor.author |
Wu, Tim |
en |
dc.contributor.author |
Hung, AP |
en |
dc.contributor.author |
Hunter, Peter |
en |
dc.contributor.author |
Mithraratne, Premakumar |
en |
dc.date.accessioned |
2015-07-01T03:24:45Z |
en |
dc.date.issued |
2015 |
en |
dc.identifier.citation |
Computer Methods in Biomechanics and Biomedical Engineering, 2015, 18 (5), pp. 477 - 484 |
en |
dc.identifier.issn |
1476-8259 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/26095 |
en |
dc.description.abstract |
This study addresses the issue of modelling material heterogeneity of incompressible bodies. It is seen that when using a mixed (displacement-pressure) finite element formulation, the basis functions used for pressure field may not be able to capture the nonlinearity of material parameters, resulting in pseudo-residual stresses. This problem can be resolved by modifying the constitutive relation using Flory's decomposition of the deformation gradient. A two-parameter Mooney-Rivlin constitutive relation is used to demonstrate the methodology. It is shown that for incompressible materials, the modification does not alter the mechanical behaviour described by the original constitutive model. In fact, the modified constitutive equation shows a better predictability when compared against analytical solutions. Two strategies of describing the material variation (i.e. linear and step change) are explained, and their solutions are evaluated for an ideal two-material interfacing problem. When compared with the standard tied coupling approach, the step change method exhibited a much better agreement because of its ability to capture abrupt changes of the material properties. The modified equation in conjunction with integration point-based material heterogeneity is then used to simulate the deformations of heterogeneous biological structures to illustrate its applications. |
en |
dc.format.medium |
Print-Electronic |
en |
dc.language |
eng |
en |
dc.publisher |
Taylor & Francis |
en |
dc.relation.ispartofseries |
Computer Methods in Biomechanics and Biomedical Engineering |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://olabout.wiley.com/WileyCDA/Section/id-820227.html
http://www.sherpa.ac.uk/romeo/issn/1025-5842/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
On modelling large deformations of heterogeneous biological tissues using a mixed finite element formulation |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1080/10255842.2013.818662 |
en |
pubs.issue |
5 |
en |
pubs.begin-page |
477 |
en |
pubs.volume |
18 |
en |
dc.description.version |
AM - Accepted Manuscript |
en |
dc.rights.holder |
Copyright:
Taylor & Francis |
en |
dc.identifier.pmid |
23895255 |
en |
pubs.end-page |
484 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
405006 |
en |
pubs.org-id |
Bioengineering Institute |
en |
pubs.org-id |
ABI Associates |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Science Research |
en |
pubs.org-id |
Maurice Wilkins Centre (2010-2014) |
en |
dc.identifier.eissn |
1476-8259 |
en |
pubs.record-created-at-source-date |
2015-03-17 |
en |
pubs.dimensions-id |
23895255 |
en |