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Comparison of constitutive models of arterial layers with distributed collagen fibre orientations

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Several constitutive models have been proposed for description of mechanical behaviour of soft tissues containing collagen fibres. The model with aligned fibres is modified in this paper to take the dispersion of fibre orientations into account through angular integration and it is compared with the model that is defined through generalized structure tensor. The paper is focused on the effect of fibre dispersion on the resulting stress-strain behaviour predicted by both analyzed models. Analytical calculations are used for the comparison of the mechanical behaviour under a specific biaxial tension mode. Both the models have been implemented into commercial finite element code ANSYS via user subroutines and used for numerical simulation resulting in a non-homogeneous stress field.The effects of the fibre dispersion predicted by both of the compared models differ significantly - e.g. the resulting stress difference between both models is lower than 10% only in case of extremely small dispersion of collagen fibres orientation (k < 0.01 to 0.03)). These results are consistent with other literature reference. The applicability of the model defined through the generalized structure tensor is discussed.
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Bibliogr. 34 poz., rys., wykr.
  • Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno University of Technology, Brno, Czech Republic,
  • Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno University of Technology, Brno, Czech Republic,
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