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 …

[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 …

Biomechanical behavior of bioprosthetic heart valve heterograft tissues: characterization, simulation, and performance

JS Soares, KR Feaver, W Zhang, D Kamensky… - Cardiovascular …, 2016 - Springer
The use of replacement heart valves continues to grow due to the increased prevalence of
valvular heart disease resulting from an ageing population. Since bioprosthetic heart valves …

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 …

Determination of material models for arterial walls from uniaxial extension tests and histological structure

GA Holzapfel - Journal of theoretical biology, 2006 - Elsevier
An approach is proposed that allows the determination of material models from uniaxial tests
and histostructural data including fiber orientation of the tissue. A combination of neo …

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 …

A microstructurally motivated model of arterial wall mechanics with mechanobiological implications

C Bellini, J Ferruzzi, S Roccabianca… - Annals of biomedical …, 2014 - Springer
Through mechanobiological control of the extracellular matrix, and hence local stiffness,
smooth muscle cells of the media and fibroblasts of the adventitia play important roles in …

Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation

J Merodio, RW Ogden - International Journal of Solids and Structures, 2003 - Elsevier
In a recent paper we examined the loss of ellipticity and its interpretation in terms of fiber
kinking and other instability phenomena in respect of a fiber-reinforced incompressible …

Finite element implementation of a generalized Fung-elastic constitutive model for planar soft tissues

W Sun, MS Sacks - Biomechanics and modeling in mechanobiology, 2005 - Springer
Numerical simulations of the anisotropic mechanical properties of soft tissues and tissue-
derived biomaterials using accurate constitutive models remain an important and …

A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus

ZY Guo, XQ Peng, B Moran - Journal of the Mechanics and Physics of …, 2006 - Elsevier
This paper presents a composites-based hyperelastic constitutive model for soft tissue. Well
organized soft tissue is treated as a composite in which the matrix material is embedded with …