Development of a Constitutive Model for Brain Tissue under Multiaxial Loading

Material properties of brain tissue have been characterized under different modes of loading; however it has been shown that a constitutive model developed under one mode of loading (e.g. shear) may not necessarily predict the behavior of the tissue under another mode of loading (e.g. compression). In this study a viscoelastic constitutive model for brain tissue was developed that is capable of predicting the behavior of the tissue under multiaxial loading. Step and hold tests under shear and compression loading were performed on bovine brain samples with a strain rate of 10 s‐1 to strain levels of 30%. The applicability of quasi‐linear viscoelastic assumption was validated for strain levels up to 30% for shear and compression deformation. A generalized Rivlin model with three terms was considered and the response of this model to shear and compression was determined. These responses were used to determine the viscoelastic behavior under each mode of loading by fitting to the experimental model simultaneously. The hyperelastic material parameters and parameters of a relaxation function at four decay rates were determined. The developed model was compared with previously developed models and it showed a close agreement with them in their corresponding mode of loading, while having the advantage of modeling multiaxial loading as well.

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  • Supplemental Notes:
    • Abstract reprinted with permission of IRCOBI (International Research Council on the Biomechanics of Injury).
  • Corporate Authors:

    International Research Council on Biomechanics of Injury (IRCOBI)

    Winkelriedstrasse 27
    Zurich,   Switzerland  CH-8006
  • Authors:
    • Shafieian, Mehdi
    • Laksari, Kaveh
    • Darvish, Kurosh
    • Crandall, Jeff
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  • Publication Date: 2012


  • English

Media Info

  • Media Type: Digital/other
  • Features: Figures; Photos; References; Tables;
  • Pagination: pp 467-473
  • Monograph Title: 2012 IRCOBI Conference Proceedings
  • Serial:

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Filing Info

  • Accession Number: 01487075
  • Record Type: Publication
  • Report/Paper Numbers: IRC-12-56
  • Files: TRIS
  • Created Date: Jun 30 2013 5:23PM