On fibre dispersion modelling of soft biological tissues: a review

GA Holzapfel, RW Ogden… - Proceedings of the …, 2019 - royalsocietypublishing.org
Collagen fibres within fibrous soft biological tissues such as artery walls, cartilage,
myocardiums, corneas and heart valves are responsible for their anisotropic mechanical …

A discrete fibre dispersion method for excluding fibres under compression in the modelling of fibrous tissues

K Li, RW Ogden, GA Holzapfel - Journal of The Royal …, 2018 - royalsocietypublishing.org
Recently, micro-sphere-based methods derived from the angular integration approach have
been used for excluding fibres under compression in the modelling of soft biological tissues …

Modelling non-symmetric collagen fibre dispersion in arterial walls

GA Holzapfel, JA Niestrawska… - Journal of the …, 2015 - royalsocietypublishing.org
New experimental results on collagen fibre dispersion in human arterial layers have shown
that the dispersion in the tangential plane is more significant than that out of plane. A …

Characterizing the mechanical contribution of fiber angular distribution in connective tissue: comparison of two modeling approaches

DH Cortes, SP Lake, JA Kadlowec… - … and modeling in …, 2010 - Springer
Modeling of connective tissues often includes collagen fibers explicitly as one of the
components. These fibers can be oriented in many directions; therefore, several studies …

A constitutive model for transversely isotropic dispersive materials

A Amendola, J de Castro Motta… - … of the Royal …, 2024 - royalsocietypublishing.org
Due to their intrinsic complexity, it is not easy to model the mechanical behaviour of
biomaterials. Despite the challenges they faced, some researchers have presented …

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

H Weisbecker, MJ Unterberger… - Journal of The Royal …, 2015 - royalsocietypublishing.org
Structurally motivated material models may provide increased insights into the underlying
mechanics and physics of arteries under physiological loading conditions. We propose a …

Fiber distributed hyperelastic modeling of biological tissues

A Pandolfi, M Vasta - Mechanics of Materials, 2012 - Elsevier
In view of a more realistic description of the spatial distribution of the collagen fibers in soft
biological tissues, for example the human cornea, we propose a material model alternative …

Modeling the matrix of articular cartilage using a continuous fiber angular distribution predicts many observed phenomena

GA Ateshian, V Rajan, NO Chahine, CE Canal… - 2009 - asmedigitalcollection.asme.org
Cartilage is a hydrated soft tissue whose solid matrix consists of negatively charged
proteoglycans enmeshed within a fibrillar collagen network. Though many aspects of …

Towards an analytical model of soft biological tissues

S Federico, W Herzog - Journal of biomechanics, 2008 - Elsevier
In the past years, soft-tissue modelling research has seen substantial developments, a
significant part of which can be ascribed to the refinement of numerical techniques, such as …

A method to quantify the fiber kinematics of planar tissues under biaxial stretch

KL Billiar, MS Sacks - Journal of biomechanics, 1997 - Elsevier
We have developed a method for measuring fiber kinematics in two-dimensional soft
collagenous tissues. The technique combines small-angle light scattering (SALS) and …