Browsing Mathematics (Scholarly Articles) by Issue Date
Now showing items 21-40 of 228
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Interface waves in misoriented pre-stressed incompressible elastic solids
(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 ... -
Non-principal surface waves in deformed incompressible materials
(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 ... -
Finite amplitude elastic waves propagating in compressible solids
(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 ... -
Surface waves in a stretched and sheared incompressible elastic material
(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 ... -
Stoneley waves and interface stability for Bell materials in compression; comparison with rubber
(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, ... -
Inhomogeneous "longitudinal" plane waves in a deformed elastic material
(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
(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
(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 ... -
Inhomogeneous "longitudinal" circularly-polarized plane waves in anisotropic elastic crystals
(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
(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 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 ... -
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 ... -
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, ...