On fibre dispersion modelling of soft biological tissues: a review

GA Holzapfel, RW Ogden… - Proceedings of the …, 2019 - royalsocietypublishing.org
… Vasta [8] was to incorporate higher-order statistics to try and correct the supposed (but non-…
We assume that each mean fibre direction makes an angle α with the direction 1 so that M = …

A microstructurally motivated constitutive description of collagenous soft biological tissue towards the description of their non-linear and time-dependent properties

C Miller, TC Gasser - Journal of the Mechanics and Physics of Solids, 2021 - Elsevier
… behavior that is observed in subsequent sections, stemming directly from the integration of
this behavior over all the constituent CFPG complexes of a fiber and over all fiber orientations. …

Anelastic reorganisation of fibre-reinforced biological tissues

S Di Stefano, M Carfagna, MM Knodel… - … and Visualization in …, 2019 - Springer
… it to the case of nonlinear elastoplastic material behaviour. Then, … statistically. The first
assumption of our approach is that, at … the fibre orientation and, consequently, to make the tissue

Coupling among deformation, fluid flow, structural reorganisation and fibre reorientation in fibre-reinforced, transversely isotropic biological tissues

E Crevacore, S Di Stefano, A Grillo - International Journal of Non-Linear …, 2019 - Elsevier
… Here, Ψ is assumed to depend only on the direction of the local fibre orientation and …
direction m 0 for the tissue as a whole. To justify this assumption, we consider a specimen of tissue

COMPUTATIONAL MECHANICS FOR SOFT BIOLOGICAL TISSUES

C Altun - 2023 - open.metu.edu.tr
… a function of fiber orientation, and the … non-linear elastic and viscoelastic behaviour of the
tissue. They concluded that, the myocardium tissue represents an anisotropic nonlinear elastic

[HTML][HTML] A nonlinear elastic description of cell preferential orientations over a stretched substrate

G Lucci, L Preziosi - Biomechanics and Modeling in Mechanobiology, 2021 - Springer
… The aim of this work is then to study the problem of cell reorientation in a nonlinear elasticity
framework. The main goal is to understand why and to what extent the experimental results …

Modeling of the mechanical behavior of fibrous soft tissues: influence of fibre-fibre bonds, and of corrugation and fibre orientation

C Piao - 2022 - theses.hal.science
… of Poisson’s ratios is clearer in the framework of a linear model than in a nonlinear model. …
to the predominance of the liquid phase within biological tissues, which is known to be quasi-…

Fractal dimension and directional analysis of elastic and collagen fiber arrangement in unsectioned arterial tissues affected by atherosclerosis and aging

LB Mostaço-Guidolin, MSD Smith… - Journal of Applied …, 2019 - journals.physiology.org
… imaging techniques such as nonlinear optical microscopy (… artery consistently present
statistically significant lower FD … in tracking the dispersion of fiber direction between lesion types. A …

Constitutive modeling of corneal tissue: influence of three-dimensional collagen fiber microstructure

S Wang, H Hatami-Marbini - Journal of …, 2021 - asmedigitalcollection.asme.org
… of an infinitesimal fraction of fibers in a given direction. The statistical description of the …
good representations of the mechanical response of biological tissues. However, their main …

Contributions of elastic fibers, collagen, and extracellular matrix to the multiaxial mechanics of ligament

HB Henninger, BJ Ellis, SA Scott, JA Weiss - Journal of the mechanical …, 2019 - Elsevier
… resilience to extensible biologic tissues through elastic recoil of its … Statistical comparisons
were undertaken with independent or … were more nonlinear than the elastic fibers. The C 5 …