Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models

Afshin Anssari-Benam, Michel Destrade, Giuseppe Saccomandi

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Abstract

The Ogden model is often considered as a standard model in the literature for application to the deformation of brain tissue. Here, we show that, in some of those applications, the use of the Ogden model leads to the non-convexity of the strain-energy function and mis-prediction of the correct concavity of the experimental stress–stretch curves over a range of the deformation domain. By contrast, we propose a family of models which provides a favourable fit to the considered datasets while remaining free from the highlighted shortcomings of the Ogden model. While, as we discuss, those shortcomings might be due to the artefacts of the testing protocols, the proposed family of models proves impervious to such artefacts.
Original languageEnglish
Article number20210325
Number of pages19
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume380
Issue number2234
Early online date29 Aug 2022
DOIs
Publication statusPublished - 17 Oct 2022

Keywords

  • brain tissue mechanics
  • Ogden model
  • ill-posed results
  • constitutive modelling
  • convexity

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