Constitutive modelling of arteries considering fibre recruitment and three-dimensional fibre distribution

Journal of the Royal Society, Interface
Hannah WeisbeckerGerhard A Holzapfel

Abstract

Structurally motivated material models may provide increased insights into the underlying mechanics and physics of arteries under physiological loading conditions. We propose a multiscale model for arterial tissue capturing three different scales (i) a single collagen fibre; (ii) bundle of collagen fibres; and (iii) collagen network within the tissue. The waviness of collagen fibres is introduced by a probability density function for the recruitment stretch at which the fibre starts to bear load. The three-dimensional distribution of the collagen fibres is described by an orientation distribution function using the bivariate von Mises distribution, and fitted to experimental data. The strain energy for the tissue is decomposed additively into a part related to the matrix material and a part for the collagen fibres. Volume fractions account for the matrix/fibre constituents. The proposed model only uses two parameters namely a shear modulus of the matrix material and a (stiffness) parameter related to a single collagen fibre. A fit of the multiscale model to representative experimental data obtained from the individual layers of a human thoracic aorta shows that the proposed model is able to adequately capture the nonlinear and ...Continue Reading

References

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Jun 5, 2012·Journal of the Mechanical Behavior of Biomedical Materials·Hannah WeisbeckerGerhard A Holzapfel
Jun 6, 2013·Journal of Biomechanics·Hannah WeisbeckerGerhard A Holzapfel
Jul 22, 2014·Journal of the Mechanical Behavior of Biomedical Materials·Gerhard A HolzapfelRay W Ogden

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Citations

Jul 22, 2015·Journal of the Mechanical Behavior of Biomedical Materials·Nan QiXiaoyu Luo
Apr 27, 2016·Current Opinion in Biotechnology·Jessica S Yu, Neda Bagheri
Mar 18, 2017·Journal of Biomechanical Engineering·Jeffrey M Mattson, Yanhang Zhang
Dec 12, 2018·American Journal of Physiology. Heart and Circulatory Physiology·Koen D Reesink, Bart Spronck
Feb 14, 2018·Journal of the Royal Society, Interface·Alberto CoccarelliDimitris Parthimos
Apr 23, 2017·American Journal of Physiology. Heart and Circulatory Physiology·Maria BloksgaardJo G R De Mey
Sep 13, 2019·Journal of Anatomy·J ConcannonJ P McGarry
Dec 14, 2017·Biomechanics and Modeling in Mechanobiology·Akinjide R Akintunde, Kristin S Miller
May 26, 2017·Biomechanics and Modeling in Mechanobiology·S Jamaleddin Mousavi, Stéphane Avril
May 9, 2019·Biomechanics and Modeling in Mechanobiology·Venkat AyyalasomayajulaPierre Badel
Jun 27, 2021·Biomechanics and Modeling in Mechanobiology·Jia Lu, Xuehuan He

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