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 …

On the biomechanics of heart valve function

MS Sacks, WD Merryman, DE Schmidt - Journal of biomechanics, 2009 - Elsevier
Heart valves (HVs) are fluidic control components of the heart that ensure unidirectional
blood flow during the cardiac cycle. However, this description does not adequately describe …

[图书][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

A generic physics-informed neural network-based constitutive model for soft biological tissues

M Liu, L Liang, W Sun - Computer methods in applied mechanics and …, 2020 - Elsevier
Constitutive modeling is a cornerstone for stress analysis of mechanical behaviors of
biological soft tissues. Recently, it has been shown that machine learning (ML) techniques …

Data-driven tissue mechanics with polyconvex neural ordinary differential equations

V Tac, FS Costabal, AB Tepole - Computer Methods in Applied Mechanics …, 2022 - Elsevier
Data-driven methods are becoming an essential part of computational mechanics due to
their advantages over traditional material modeling. Deep neural networks are able to learn …

Biomechanical properties of native and tissue engineered heart valve constructs

A Hasan, K Ragaert, W Swieszkowski, Š Selimović… - Journal of …, 2014 - Elsevier
Due to the increasing number of heart valve diseases, there is an urgent clinical need for off-
the-shelf tissue engineered heart valves. While significant progress has been made toward …

Fluid–structure interaction study of transcatheter aortic valve dynamics using smoothed particle hydrodynamics

W Mao, K Li, W Sun - Cardiovascular engineering and technology, 2016 - Springer
Computational modeling of heart valve dynamics incorporating both fluid dynamics and
valve structural responses has been challenging. In this study, we developed a novel fully …

On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework

GA Holzapfel, RW Ogden - Mathematics and mechanics of …, 2009 - journals.sagepub.com
The mechanical testing of anisotropic nonlinearly elastic solids is a topic of considerable
and increasing interest. The results of such testing are important, in particular, for the …

Thinner biological tissues induce leaflet flutter in aortic heart valve replacements

EL Johnson, MCH Wu, F Xu… - Proceedings of the …, 2020 - National Acad Sciences
Valvular heart disease has recently become an increasing public health concern due to the
high prevalence of valve degeneration in aging populations. For patients with severely …

Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

S Avril, P Badel, A Duprey - Journal of biomechanics, 2010 - Elsevier
In this paper, we present a new approach for the bi-axial characterization of in vitro human
arteries and we prove its feasibility on an example. The specificity of the approach is that it …