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[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 …
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
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 …
[PDF][PDF] Concepts, methods and applications
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 …
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
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 …
A molecular-statistical basis for the Gent constitutive model of rubber elasticity
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 …
the inverse Langevin function. Such models are widely used since they successfully capture …
Analytical network-averaging of the tube model:: Rubber elasticity
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 …
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
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 …
the diffusion processes of the highly mobile and flexible polymer chains. Inspired by the …
Nematic liquid crystalline elastomers are aeolotropic materials
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 …
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 …
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 …
is formulated here, by presenting a (principal) stretches-based hyperinelastic deformation …