Browsing School of Mathematics, Statistics and Applied Mathematics by Issue Date
Now showing items 41-60 of 275
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The Virasoro Algebra and Some Exceptional Lie and Finite Groups
(2006)We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series ... -
The speed of interfacial waves polarized in a symmetry plane
(Elsevier, 2006-01)The surface-impedance 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 ... -
Bleustein-Gulyaev waves in some functionally graded materials
(Elsevier, 2006-02-28)Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a half-space (x2>0) occupied by a special Functionally Graded Material made of an hexagonal (6 ... -
Onde de Love Piézoacoustique
(2006-04-24)Une sélection de résultats analytiques et numériques concernant la propagation d'ondes planes harmoniques guidées dans un bicouche piézoélectrique est présentée. L'étude effectuée concerne les modes transverses horizontaux ... -
Solitary and compact-like shear waves in the bulk of solids
(American Physical Society, 2006-06)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 ... -
Instabilities in elastomers and soft tissues
(Oxford Journals, 2006-09-15)Biological soft tissues exhibit elastic properties that can be dramatically different from rubber-type materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material ... -
Piezoelectric Love waves on rotated Y-cut mm2 substrates
(IEEE, 2006-11)Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For an X- or Y-cut of the substrate, a Love wave can ... -
Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid
(Elsevier, 2006-11-10)We analyse the influence of pre-stress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic half-space that is in contact with a viscous fluid extending to infinity in the adjoining ... -
Seismic Rayleigh waves on an exponentially graded, orthotropic half-space
(The Royal Society, 2007)Efforts at modelling the propagation of seismic waves in half-spaces with continuously varying properties have mostly been focused on shear-horizontal waves. Here, a sagittally polarized (Rayleigh type) wave travels along ... -
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 ... -
Diffusionrank: a possible penicillin for web spamming
(2007)While the PageRank algorithm has proven to be very effective for ranking Web pages, the rank scores of Web pages can be manipulated. To handle the manipulation problem and to cast a new insight on the Web structure, we ... -
Interface waves in pre-stressed 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 semi-infinite solid. With a view to model loaded elastomers and soft ... -
Characteristic classes of complexified bundles
(Summer School in Algebraic Topology: Sheaf theoretic methods in the theory of characteristic classes, 2007)We examine the topological characteristic cohomology classes of complexified vector bundles . In particular, all the classes coming from real vector bundles are computed. We use characteristic classes with the ax-ioms of ... -
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
(2007)We define the $n$-point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain ... -
Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
(2007)We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... -
An algorithm for the unit group of the Burnside ring of a finite group
(Cambridge University Press, 2007-01)In this note we present an algorithm for the construction of the unit group of the Burnside ring Ω(G) of a finite group G from a list of representatives of the conjugacy classes of subgroups of G. -
Weierstrass's criterion and compact solitary waves
(American Physical Society, 2007-04-17)Weierstrass's theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this Brief Report we show how a simple generalization of this tool makes it ... -
Partition functions and chiral algebras.
(American Mathematical Society, 2007-05)We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the b-c or ghost system. We compare and contrast the nature of the 1-point functions at genus 1, ... -
Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid
(Society for Industrial and Applied Mathematics, 2007-10-10)We present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model ... -
The stress field in a pulled cork and some subtle points in the semi-inverse method of nonlinear elasticity
(The Royal Society, 2007-11-08)In an attempt to describe cork-pulling, we model a cork as an incompressible rubber-like material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns ...