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Browsing Mathematics (Scholarly Articles) by Issue Date

Browsing Mathematics (Scholarly Articles) by Issue Date

Now showing items 1-20 of 85

Generalised Moonshine and Abelian Orbifold Constructions

Tuite, Michael P. (1994)

We consider the application of Abelian orbifold constructions in Meromorphic Conformal Field Theory (MCFT) towards an understanding of various aspects of Monstrous Moonshine and Generalised Moonshine. We review some of the ...
Genus Two Meromorphic Conformal Field Theory

Tuite, Michael P. (1999)

We construct the genus two (or two loop) partition function for meromorphic bosonic conformal field theories. We use a sewing procedure involving two genus one tori by exploiting an explicit relationship between the genus ...
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module

Ivanov, Rossen I.; Tuite, Michael P. (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 $k$ ...
Torus Chiral n-Point Functions for Free Boson and Lattice Vertex Operator Algebras

Mason, Geoffrey; Tuite, Michael P. (2002)

We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions.
Finite-amplitude inhomogeneous plane waves in a deformed Mooney-Rivlin material

Destrade, Michel (Oxford University Press, 2002)

The propagation of finite-amplitude linearly-polarized inhomogeneous transverse plane waves is considered for a Mooney-Rivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ...
Some Irrational Generalised Moonshine from Orbifolds

Ivanov, Rossen I.; Tuite, Michael P. (2002)

We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ...
Surface waves in deformed Bell materials

Destrade, Michel (2003)

Small amplitude inhomogeneous plane waves are studied as they propagate on the free surface of a predeformed semi-infinite body made of Bell constrained material. The predeformation corresponds to a finite static pure ...
Rayleigh waves and surface stability for Bell materials in compression; comparison with rubber

Destrade, Michel (Oxford University Press, 2003)

The stability of a Bell-constrained half-space 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 ...
Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint

Destrade, Michel (Elsevier, 2004)

An isotropic elastic half-space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary ...
Explicit secular equation for Scholte waves over a monoclinic crystal

Destrade, Michel (Elsevier, 2004)

Scholte waves are acoustic waves propagating at a fluid/solid interface. They are localized in the neighborhood of the phase boundary in the sense that they decay exponentially in both directions along the normal to the ...
Surface acoustic waves in rotating orthorhombic crystals

Destrade, Michel (The Royal Society, 2004-02-08)

The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half¿space is cut along a plane normal to ...
Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids

Destrade, Michel (Elsevier, 2004-09)

New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ...
Interface waves in misoriented pre-stressed incompressible elastic solids

Destrade, Michel (Oxford Journals, 2004-12-17)

Some relationships, fundamental to the resolution of interface wave problems, are presented. These equations allow for the derivation of explicit secular equations for problems involving waves localized near the plane ...
Finite amplitude elastic waves propagating in compressible solids

Destrade, Michel (2005)

The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar ...
Stoneley waves and interface stability for Bell materials in compression; comparison with rubber

Destrade, Michel (2005)

Two semi-infinite bodies made of prestressed, homogeneous, Bell-constrained, hyperelastic materials are perfectly bonded along a plane interface. The half-space have been subjected to finite pure homogeneous predeformations, ...
Surface waves in a stretched and sheared incompressible elastic material

Destrade, Michel (2005)

In this paper, we analyze the effect of a combined pure homogeneous strain and simple shear in a principal plane of the latter on the propagation of surface waves for an incompressible isotropic elastic half-space whose ...
Non-principal surface waves in deformed incompressible materials

Destrade, Michel (Elsevier, 2005)

The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic half-space. The free surface is assumed to coincide with one of the ...
Inhomogeneous "longitudinal" plane waves in a deformed elastic material

Destrade, Michel (Springer, 2005-01)

By definition, a homogeneous isotropic compressible Hadamard material has the property that an infinitesimal longitudinal homogeneous plane wave may propagate in every direction when the material is maintained in a state ...
Explicit secular equations for piezoacoustic surface waves: Shear-horizontal modes

Destrade, Michel (AIP Publishing, 2005-09-06)

The existence of a two-partial Rayleigh wave coupled to an electrical field in 2 mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z cut X propagation problem can be ...
Explicit secular equations for piezoacoustic surface waves: Rayleigh modes

Destrade, Michel (American Institute of Physics, 2005-09-06)

The existence of a two-partial Rayleigh wave coupled to an electrical field in 2 mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z cut X propagation problem can be ...