Hyperelastic energy densities for soft biological tissues: a review

G Chagnon, M Rebouah, D Favier - Journal of Elasticity, 2015 - Springer
Many soft tissues are naturally made of a matrix and fibres that present some privileged
directions. They are known to support large reversible deformations. The mechanical …

A contemporary look at biomechanical models of myocardium

R Avazmohammadi, JS Soares, DS Li… - Annual review of …, 2019 - annualreviews.org
Understanding and predicting the mechanical behavior of myocardium under healthy and
pathophysiological conditions are vital to develo** novel cardiac therapies and promoting …

Continuum biomechanics of soft biological tissues

JD Humphrey - Proceedings of the Royal Society of …, 2003 - royalsocietypublishing.org
Since its coming of age in the mid 1960s, continuum biomechanics has contributed much to
our understanding of human health as well as to disease, injury, and their treatment …

Comparison of a multi-layer structural model for arterial walls with a Fung-type model, and issues of material stability

GA Holzapfel, TC Gasser… - J. Biomech …, 2004 - asmedigitalcollection.asme.org
The goals of this paper are (i) to re-examine the constitutive law for the description of the
(passive) highly nonlinear and anisotropic response of healthy elastic arteries introduced …

Simulation of the 3D hyperelastic behavior of ventricular myocardium using a finite-element based neural-network approach

W Zhang, DS Li, T Bui-Thanh, MS Sacks - Computer methods in applied …, 2022 - Elsevier
High-fidelity cardiac models using attribute-rich finite element based models have been
developed to a very mature stage. However, such finite-element based approaches remain …

Multi-scale modeling of the cardiovascular system: disease development, progression, and clinical intervention

Y Zhang, VH Barocas, SA Berceli, CE Clancy… - Annals of biomedical …, 2016 - Springer
Cardiovascular diseases (CVDs) are the leading cause of death in the western world. With
the current development of clinical diagnostics to more accurately measure the extent and …

On the use of the upper triangular (or QR) decomposition for develo** constitutive equations for Green-elastic materials

AR Srinivasa - International Journal of Engineering Science, 2012 - Elsevier
In this paper, we show that the well known decomposition of a matrix into an orthogonal
matrix (Q) and a upper triangular matrix (R), can be used to develop a remarkably simple …

On the AIC-based model reduction for the general Holzapfel–Ogden myocardial constitutive law

D Guan, F Ahmad, P Theobald, S Soe, X Luo… - … and Modeling in …, 2019 - Springer
Constitutive laws that describe the mechanical responses of cardiac tissue under loading
hold the key to accurately model the biomechanical behaviour of the heart. There have been …

Method and apparatus for soft tissue material parameter estimation using tissue tagged magnetic resonance imaging

KF Augenstein, BR Cowan, IJ LeGrice… - J. Biomech …, 2005 - asmedigitalcollection.asme.org
We describe an experimental method and apparatus for the estimation of constitutive
parameters of soft tissue using Magnetic Resonance Imaging (MRI), in particular for the …

On the accuracy and fitting of transversely isotropic material models

Y Feng, RJ Okamoto, GM Genin, PV Bayly - journal of the mechanical …, 2016 - Elsevier
Fiber reinforced structures are central to the form and function of biological tissues.
Hyperelastic, transversely isotropic material models are used widely in the modeling and …