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Browsing Mathematics (Scholarly Articles) by Issue Date

Browsing Mathematics (Scholarly Articles) by Issue Date

Now showing items 21-40 of 85

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Tuite, Michael P. (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 ...
Inhomogeneous "longitudinal" circularly-polarized plane waves in anisotropic elastic crystals

Destrade, Michel (S. Hirzel verlag, Ingenta Connect, 2006)

Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of ...
On Genus Two Riemann Surfaces Formed from Sewn Tori

Mason, Geoffrey; Tuite, Michael P. (2006)

We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ...
The speed of interfacial waves polarized in a symmetry plane

Destrade, Michel (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

Destrade, Michel (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 ...
Solitary and compact-like shear waves in the bulk of solids

Destrade, Michel (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

Destrade, Michel (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

Destrade, Michel (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

Destrade, Michel (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 ...
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras

Mason, Geoffrey; Tuite, Michael P. (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 ...
Seismic Rayleigh waves on an exponentially graded, orthotropic half-space

Destrade, Michel (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 ...
Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds

Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander (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, ...
Weierstrass's criterion and compact solitary waves

Destrade, Michel (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 ...
Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid

Destrade, Michel (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

Destrade, Michel (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 ...
Monstrous and Generalized Moonshine and Permutation Orbifolds

Tuite, Michael P. (2008)

We consider the application of permutation orbifold constructions towards a new possible understanding of the genus zero property in Monstrous and Generalized Moonshine. We describe a theory of twisted Hecke operators in ...
Exceptional Vertex Operator Algebras and the Virasoro Algebra

Tuite, Michael P. (2008)

We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these ...
Nonlinear transverse waves in deformed dispersive solids

Destrade, Michel (Elsevier, 2008)

We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (non-dissipative) properties of a hyperelastic dispersive ...
A wave near the edge of a circular disk

Destrade, Michel (2008)

It is shown that in the Love-Kirchhoff plate theory, an edge wave can travel in a circular thin disk made of an isotropic elastic material. This disk edge wave turns out to be faster than the classic flexural acoustic wave ...
Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedance-contrast layered plates

Destrade, Michel (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 ...