Journal
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
Volume 12, Issue 6, Pages 691-699Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10255840902870427
Keywords
inverse parameter estimation; myocardium; orthotropic; transversely isotropic; polyconvexity
Funding
- Auckland Bioengineering Institute
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A previous study investigated a number of invariant-based orthotropic and transversely isotropic constitutive equations for their suitability to fit three-dimensional simple shear mechanics data of passive myocardial tissue. The study was based on the assumption of a homogeneous deformation. Here, we extend the previous study by performing an inverse finite element material parameter estimation. This ensures a more realistic deformation state and material parameter estimates. The constitutive relations were compared on the basis of (i) 'goodness of fit': how well they fit a set of six shear deformation tests and (ii) 'variability': how well determined the material parameters are over the range of experiments. These criteria were utilised to discuss the advantages and disadvantages of the constitutive relations. It was found that a specific form of the polyconvex type as well as the exponential Fung-type equations were most suitable for modelling the orthotropic behaviour of myocardium under simple shear.
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