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Hyperelastic energy densities for soft biological tissues: a review
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 …
directions. They are known to support large reversible deformations. The mechanical …
A contemporary look at biomechanical models of myocardium
Understanding and predicting the mechanical behavior of myocardium under healthy and
pathophysiological conditions are vital to develo** novel cardiac therapies and promoting …
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 …
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
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 …
(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
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 …
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
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 …
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 …
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
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 …
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 …
parameters of soft tissue using Magnetic Resonance Imaging (MRI), in particular for the …
On the accuracy and fitting of transversely isotropic material models
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 …
Hyperelastic, transversely isotropic material models are used widely in the modeling and …