Browsing Mathematics (Scholarly Articles) by Title
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A quiver presentation for Solomon's descent algebra
(Elsvier, 2009)The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ... 
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
(2001)We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ ... 
Ray W Ogden: An Appreciation
(SAGE Publications, 201507)This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ... 
Rayleigh waves and surface stability for Bell materials in compression; comparison with rubber
(Oxford University Press, 2003)The stability of a Bellconstrained halfspace in compression is studied. To this end, the propagation of Rayleigh waves on the surface of the material when it is maintained in a static state of triaxial prestrain is ... 
Rayleigh waves in symmetry planes of crystals : explicit secular equations and some explicit wave speeds
(Elsevier, 2003)Rayleigh waves are considered for crystals possessing at least one plane of symmetry. The secular equation is established explicitly for surface waves propagating in any direction of the plane of symmetry, using two different ... 
Realizing a fusion system by a single finite group
(2010)We show that every saturated fusion system can be realized as a full subcategory of the fusion system of a finite group. The result suggests the definition of an 'exoticity index' and raises some other questions which we discuss. 
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 ... 
Rivlin's legacy in continuum mechanics and applied mathematics
(The Royal Society, 20190318)Over a long and distinguished career, Ronald Rivlin (figure 1) published more than 200 scientific papers. He was a highly innovative scientist who made seminal contributions in all areas of continuum mechanics. He was one ... 
Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations
(The Royal Society, 20110708)We study the propagation of twodimensional finiteamplitude shear waves in a nonlinear prestrained incompressible solid, and derive several asymptotic amplitude equations in a simple, consistent and rigorous manner. The ... 
Seismic Rayleigh waves on an exponentially graded, orthotropic halfspace
(The Royal Society, 2007)Efforts at modelling the propagation of seismic waves in halfspaces with continuously varying properties have mostly been focused on shearhorizontal waves. Here, a sagittally polarized (Rayleigh type) wave travels along ... 
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 ... 
Simple shear is not so simple
(201203)For homogeneous, isotropic, nonlinearly elastic materials, the form of the homogeneous deformation consistent with the application of a Cauchy shear stress is derived here for both compressible and incompressible materials. ... 
Slight compressibility and sensitivity to changes in Poisson's ratio
(2012)Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress ... 
Small amplitude waves and stability for a prestressed viscoelastic solid
(Springer, 2009)We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of ... 
Solitary and compactlike shear waves in the bulk of solids
(American Physical Society, 200606)We show that a model proposed by Rubin, Rosenau and Gottlieb J. Appl. Phys. 77 4054 (1995) for dispersion caused by an inherent material characteristic length belongs to the class of simple materials. Therefore, it is ... 
Some design considerations for polymerfree drugeluting stents: a mathematical approach
(Elsevier (Science Direct), 2015)In this paper we provide the first model of drug elution from polymerfree arterial drugeluting stents. The generalised model is capable of predicting the drug release from a number of polymerfree systems including those ... 
Some Generalizations of the MacMahon Master Theorem
(2011)We consider a number of generalizations of the $\beta$extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations ... 
Some Irrational Generalised Moonshine from Orbifolds
(2002)We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the HaradaNorton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ... 
Some results on finite amplitude elastic waves propagating in rotating media
(Springer, 200412)Two questions related to elastic motions are raised and addressed. First: in which theoretical framework can the equations of motion be written for an elastic halfspace put into uniform rotation? It is seen that nonlinear ... 
The speed of interfacial waves polarized in a symmetry plane
(Elsevier, 200601)The surfaceimpedance matrix method is used to study interfacial waves polarized in a plane of symmetry of anisotropic elastic materials. Although the corresponding Stroh polynomial is a quartic, it turns out to be ...