School of Mathematics, Statistics and Applied Mathematics
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The School was formed from the Departments of Mathematics (which included Statistics) and Mathematical Physics on September 1st 2008 as part of the process of Academic Restructuring in the University.
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Cell complexes database for the Bianchi groups
(NUI Galway, 20160518)This is a database of quotients by Bianchi groups of twodimensional cellular equivariant retracts of Hyperbolic threespace. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ... 
Phase behaviour of selfassembled monolayers controlled by tuning physisorbed and chemisorbed states: A latticemodel view
(American Institute of Physics, 20160407)The selfassembly of molecules on surfaces into 2D structures is important for the bottomup fabrication of functional nanomaterials, and the selfassembledstructure depends on the interplay between moleculemolecule ... 
The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
(Elsevier ScienceDirect, 20150928)We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, ... 
On the equivariant Khomology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 201609)We establish formulae for the part due to torsion of the equivariant $K$homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary numbertheoretic quantities. To achieve this, ... 
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 ... 
A refinement of a conjecture of Quillen
(Elsevier ScienceDirect, 201509)We present some new results on the cohomology of a large scope of SL2 groups in degrees above the virtual cohomological dimension, yielding some partial positive results for the Quillen conjecture in rank one. We combine ... 
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 ... 
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, ... 
Toward a predictive assessment of stabpenetration forces
(Lippincott, Williams & Wilkins, 201509)Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ... 
ENDOCOM: Abdominal aortic aneurysm test bench for in vitro simulation
(IEEE, 2007)An abdominal aortic aneurysm (AAA) is a dilatation of the aorta at the abdominal level, whose rupture is a life threatening complication. Recent treatment procedures of AAA consists in endovascular treatment with covered ... 
Finiteamplitude Love waves in a prestressed neoHookean material
(2008)In the context of the nonlinear elasticity theory we consider a model for compressible solids called compressible neoHookean material . We show how (exact) finiteamplitude inhomogeneous plane wave solutions and ... 
Uniform transmural strain in prestressed arteries occurs at physiological pressure
(Elsevier, 20120621)Residual deformation (strain) exists in arterial vessels, and has been previously proposed to induce homogeneous transmural strain distribution. In this work, we present analytical formulations that predict the existence ... 
A combined experimental and numerical study of stabpenetration forces
(Elsevier, 201312)The magnitude of force used in a stabbing incident can be difficult to quantify, although the estimate given by forensic pathologists is often seen as 'critical' evidence in medicolegal situations. The main objective of ... 
On stressdependent elastic moduli and wave speeds
(Oxford University Press, 2013)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
On anisotropic elasticity and questions concerning its Finite Element implementation
(Springer, 20130521)We give conditions on the strainenergy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ... 
Mechanical characterization of brain tissue in simple shear at dynamic strain rates
(Elsevier, 201312)During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ... 
Shear instability in skin tissue
(Oxford University Press, 2013)We propose two toymodels to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ...