Browsing College of Science by Subject "Mathematics"
Now showing items 112 of 12

Extreme softness of brain matter in simple shear
(Elsevier, 20150313)We show that porcine brain matter can be modelled accurately as a very soft rubberlike material using the MooneyRivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... 
Features and purposes of mathematical proofs in the view of novice students: observations from proof validation and evaluation performances
(20101222)This thesis describes a comprehensive exploratory study of the approaches taken by novice students to the validation and evaluation of mathematical proofs. A theoretical framework based on sociocultural learning theories ... 
Gent models for the inflation of spherical balloons
(Elsevier, 2015)We revisit an iconic deformation of nonlinear elasticity: the inflation of a rubber spherical thin shell. We use the 3parameter Mooney and GentGent (GG) phenomenological models to explain the stretchstrain curve of a ... 
Incremental equations for soft fibrous materials
(Springer, 2015)The general theory of nonlinear anisotropic elasticity is extended to describe smallamplitude motions and static deformations that can be superimposed on large prestrains of fibrereinforced solids. The linearised ... 
Interface waves in prestressed incompressible solids
(Springer, 2007)We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semiinfinite solid. With a view to model loaded elastomers and soft ... 
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 prestressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured prestressed structure ... 
John Todd and the development of modern numerical analysis
(2012)The purpose of this article is to mark the centenary of the birth of John Todd, a pioneer in the fields of numerical analysis and computational science. A brief account is given of his early life and career, and that of ... 
Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis
(Springer, 20150220)We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ... 
Mechanical properties of excised human skin
(Springer Verlag, 2010)In this study we have investigated in influence of location, gender and orientation on the deformation characteristics of 55 samples of human excised skin. Uniaxial tensile tests were carried out at a strain rate of ... 
Multiples of Pfister forms
(Elsevier, 20160301)The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ... 
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 ... 
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 ...