Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 63-82 of 275
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The explicit secular equation for surface acoustic waves in monoclinic elastic crystals
(Acoustical Society of America, 2001-01-25)The secular equation for surface acoustic waves propagating on a monoclinic elastic half-space is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to ... -
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 ... -
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 ... -
Extreme resilience and dissipation in heterogeneous elasto-plastomeric crystals
(Royal Society of Chemistry, 2023-11-07)We present a microstructure-topology-based approach for designing macroscopic, heterogeneous soft materials that exhibit outstanding mechanical resilience and energy dissipation. We investigate a variety of geometric ... -
Extreme softness of brain matter in simple shear
(Elsevier, 2015-03-13)We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... -
Fine tuning the electro-mechanical response of dielectric elastomers
(AIP Publishing, 2018-10-16)We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch tests. We show how the relationship between electric ... -
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 ... -
Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids
(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 ... -
Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab
(Elsevier, 2018-09-21)We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and ... -
Finite-amplitude inhomogeneous plane waves in a deformed Mooney-Rivlin material
(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 ... -
Finite-amplitude inhomogeneous plane waves of exponential type in incompressible elastic materials
(Kluwer Academic Publishers, 1999-05)It is proved that elliptically polarized finite-amplitude inhomogeneous plane waves may not propagate in an elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and ... -
Finite-amplitude Love waves in a pre-stressed neo-Hookean material
(2008)In the context of the non-linear elasticity theory we consider a model for compressible solids called compressible neoHookean material . We show how (exact) finite-amplitude inhomogeneous plane wave solutions and ... -
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(2009)We define the partition and $n$-point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ... -
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
(2011)We continue our program to define and study $n$-point correlation functions for a vertex operator algebra $V$ on a higher genus compact Riemann surface obtained by sewing surfaces of lower genus. Here we consider Riemann ... -
Generalised Moonshine and Abelian Orbifold Constructions
(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 ... -
Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids
(The Royal Society, 2019-07-03)We study elastic shear waves of small but finite amplitude, composed of an anti-plane shear motion and a general in-plane motion. We use a multiple scales expansion to derive an asymptotic system of coupled nonlinear ... -
Generalized Moonshine and orbifold constructions.
(Research Institute for Mathematical Sciences (Kokyuroku), 2002)A brief review is given of some of our recent work on Generalised Monstrous Moonshine using abelian orbifoldings of the Moonshine Module. -
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
(2011)We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized ... -
Gent models for the inflation of spherical balloons
(Elsevier, 2015)We revisit an iconic deformation of non-linear elasticity: the inflation of a rubber spherical thin shell. We use the 3-parameter Mooney and Gent-Gent (GG) phenomenological models to explain the stretch-strain curve of a ... -
Genus Two Meromorphic Conformal Field Theory
(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 ...