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 …

The relationship between viscoelasticity and elasticity

JH Snoeijer, A Pandey… - Proceedings of the …, 2020 - royalsocietypublishing.org
Soft materials that are subjected to large deformations exhibit an extremely rich
phenomenology, with properties lying in between those of simple fluids and those of elastic …

[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 …

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 …

A statistically-based continuum theory for polymers with transient networks

FJ Vernerey, R Long, R Brighenti - Journal of the Mechanics and Physics of …, 2017 - Elsevier
We present a physics-based theoretical framework to describe the transient mechanical
response of polymers undergoing finite deformation. For this, a statistical description of the …

[HTML][HTML] A strain energy function for large deformations of compressible elastomers

M Pelliciari, S Sirotti, AM Tarantino - Journal of the Mechanics and Physics …, 2023 - Elsevier
Elastomers are typically considered incompressible or slightly compressible. However, we
present simple tension and bulk tests showing that, under large deformations, these …

A generalised neo-Hookean strain energy function for application to the finite deformation of elastomers

A Anssari-Benam, A Bucchi - International Journal of Non-Linear …, 2021 - Elsevier
We present a new model within the class of generalised neo-Hookean strain energy
functions for application to the finite deformation of incompressible elastomers. The model …

A constitutive model for transversely isotropic dispersive materials

A Amendola, J de Castro Motta… - … of the Royal …, 2024 - royalsocietypublishing.org
Due to their intrinsic complexity, it is not easy to model the mechanical behaviour of
biomaterials. Despite the challenges they faced, some researchers have presented …

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 …

On the central role of the invariant I2 in nonlinear elasticity

A Anssari-Benam, A Bucchi, G Saccomandi - International Journal of …, 2021 - Elsevier
The necessity of the inclusion of the second invariant of the left Cauchy-Green deformation
tensor B, namely I 2, in the strain energy function W of rubber-like materials is analysed …