[KIRJA][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 …

[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 …

[PDF][PDF] Concepts, methods and applications

AY Malkin, AI Isayev - Appl Rheol, 2006 - degruyter.com
A book of 420 pages with the simple title Rheology, written in 2006, that's intriguing! After an
introduction and a literature survey (citing many of the classical works on fluid mechanics …

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 …

A molecular-statistical basis for the Gent constitutive model of rubber elasticity

CO Horgan, G Saccomandi - Journal of Elasticity, 2002 - Springer
Molecular constitutive models for rubber based on non-Gaussian statistics generally involve
the inverse Langevin function. Such models are widely used since they successfully capture …

Analytical network-averaging of the tube model:: Rubber elasticity

VN Khiêm, M Itskov - Journal of the Mechanics and Physics of Solids, 2016 - Elsevier
In this paper, a micromechanical model for rubber elasticity is proposed on the basis of
analytical network-averaging of the tube model and by applying a closed-form of the …

A micro–macro constitutive model for finite-deformation viscoelasticity of elastomers with nonlinear viscosity

J Zhou, L Jiang, RE Khayat - Journal of the Mechanics and Physics of …, 2018 - Elsevier
Elastomers are known to exhibit viscoelastic behavior under deformation, which is linked to
the diffusion processes of the highly mobile and flexible polymer chains. Inspired by the …

Nematic liquid crystalline elastomers are aeolotropic materials

LA Mihai, H Wang, J Guilleminot… - Proceedings of the …, 2021 - royalsocietypublishing.org
Continuum models describing ideal nematic solids are widely used in theoretical studies of
liquid crystal elastomers. However, experiments on nematic elastomers show a type of …

Variations on Ogden's model: close and distant relatives

AE Ehret, A Stracuzzi - Philosophical Transactions of the …, 2022 - royalsocietypublishing.org
The power law in terms of stretch, the truncated series representation and the Valanis–
Landel hypothesis are distinguished features of Ogden's strain-energy density function …

[HTML][HTML] Hyperinelasticity. Part II: A stretch-based formulation

A Anssari-Benam - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
A generalisation of the hyperinelasticity modelling framework devised in Part I of this sequel
is formulated here, by presenting a (principal) stretches-based hyperinelastic deformation …