How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity

LA Mihai, A Goriely - Proceedings of the Royal Society A …, 2017 - royalsocietypublishing.org
The mechanical response of a homogeneous isotropic linearly elastic material can be fully
characterized by two physical constants, the Young's modulus and the Poisson's ratio, which …

Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models

A Anssari-Benam, M Destrade… - … Transactions of the …, 2022 - royalsocietypublishing.org
The Ogden model is often considered as a standard model in the literature for application to
the deformation of brain tissue. Here, we show that, in some of those applications, the use of …

[HTML][HTML] A family of hyperelastic models for human brain tissue

LA Mihai, S Budday, GA Holzapfel, E Kuhl… - Journal of the Mechanics …, 2017 - Elsevier
Experiments on brain samples under multiaxial loading have shown that human brain tissue
is both extremely soft when compared to other biological tissues and characterized by a …

Methodical fitting for mathematical models of rubber-like materials

M Destrade, G Saccomandi… - Proceedings of the …, 2017 - royalsocietypublishing.org
A great variety of models can describe the nonlinear response of rubber to uniaxial tension.
Yet an in-depth understanding of the successive stages of large extension is still lacking. We …

Mechanical characterization of brain tissue in simple shear at dynamic strain rates

B Rashid, M Destrade, MD Gilchrist - Journal of the mechanical behavior of …, 2013 - Elsevier
During severe impact conditions, brain tissue experiences a rapid and complex deformation,
which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury …

[HTML][HTML] I too I2: A new class of hyperelastic isotropic incompressible models based solely on the second invariant

E Kuhl, A Goriely - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
In contemporary elasticity theory, the strain–energy function predominantly relies on the first
invariant I 1 of the deformation tensor; a practice that has been influenced by models derived …

Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials

LA Mihai, A Goriely - Proceedings of the Royal Society A …, 2011 - royalsocietypublishing.org
Motivated by recent experiments on biopolymer gels whereby the reverse of the usual
(positive) Poynting effect was observed, we investigate the effect of the so-called 'adscititious …

The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity

P Neff, ID Ghiba, J Lankeit - Journal of Elasticity, 2015 - Springer
We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …

A whole blood thrombus mimic: constitutive behavior under simple shear

GP Sugerman, S Kakaletsis, P Thakkar… - journal of the …, 2021 - Elsevier
Deep vein thrombosis and pulmonary embolism affect 300,000–600,000 patients each year
in the US. To better understand the highly mechanical pathophysiology of pulmonary …

Simple shear methodology for local structure–property relationships of sheet metals: State-of-the-art and open issues

G Han, J He, S Li, Z Lin - Progress in Materials Science, 2024 - Elsevier
Simple shear presents a local material structure–property relationship and plays an
important role in the development of material design, mechanical modeling, and …