On modelling large deformations of heterogeneous biological tissues using a mixed finite element formulation

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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

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