Browsing Mathematics (Scholarly Articles) by Title
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On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 20130716)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the nontrivial degeneration limit where one torus is pinched down ... 
Onset of nonlinearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 20130125)The classical flexure problem of nonlinear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general momentbending angle ... 
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 ... 
Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedancecontrast layered plates
(2008)Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semianalytical expressions of the surface impedance matrices ... 
Piezoelectric Love waves on rotated Ycut mm2 substrates
(IEEE, 200611)Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semiinfinite mm2 piezoelectric substrate. For an X or Ycut of the substrate, a Love wave can ... 
Poynting effect of brain matter in torsion
(Royal Society of Chemistry, 20190613)We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a straincontrolled rheometer, we perform torsion tests on fresh porcine brain samples. We quantify the torque ... 
Prescribing patterns in growing tubular soft matter by initial residual stress
(Royal Society of Chemistry, 20191002)Initial residual stress is omnipresent in biological tissues and soft matter, and can affect growthinduced pattern selection significantly. Here we demonstrate this effect experimentally by letting soft tubes grow in the ... 
Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 201303)To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to ... 
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 ... 
Selection shapes synonymous stop codon use in mammals
(Springer (part of Springer Nature), 20200702)Phylogenetic models of the evolution of proteincoding sequences can provide insights into the selection pressures that have shaped them. In the application of these models synonymous nucleotide substitutions, which do not ...