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How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity
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 …
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 …
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
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 …
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 …
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
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 …
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
Elastomers are typically considered incompressible or slightly compressible. However, we
present simple tension and bulk tests showing that, under large deformations, these …
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 …
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 …
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 …
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 …
tensor B, namely I 2, in the strain energy function W of rubber-like materials is analysed …