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Introduction to the special issue on stability under finite deformation
(Oxford University Press, 2010)
In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 2013-04-18)
The modelling of off-axis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ...
Extreme softness of brain matter in simple shear
(Elsevier, 2015-03-13)
We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ...
Waves and vibrations in a solid of second grade
(World Scientific, 2006)
We study the viscoelastic second grade solid, for which the constitutive equation
consists in the sum of a purely elastic part and a viscoelastic part; this latter part
is specified by two microstructural coefficients ...
A note about waves in dissipative and dispersive solids
(World Scientific, 2008)
We study shear waves propagating in a special viscoelastic model proposed first by
Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces
the full balance equations to a system of evolution equations ...
Methodical fitting for mathematical models of rubber-like materials
(The Royal Society Publishing, 2017-02-08)
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 show that the response can be ...
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 2016-07-18)
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...