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A finite element study of invariant-based orthotropic constitutive equations in the context of myocardial material parameter estimation

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  • H. Schmid
  • W. Wang
  • P.J. Hunter
  • M.P. Nash

Abstract

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.

Suggested Citation

  • H. Schmid & W. Wang & P.J. Hunter & M.P. Nash, 2009. "A finite element study of invariant-based orthotropic constitutive equations in the context of myocardial material parameter estimation," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 12(6), pages 691-699.
    • Handle: RePEc:taf:gcmbxx:v:12:y:2009:i:6:p:691-699
    DOI: 10.1080/10255840902870427
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