Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 213232 of 234

Third and fourthorder constants of incompressible soft solids and the acoustoelastic effect.
(Acoustical Society of America, 201002)Acoustoelasticity is concerned with the propagation of smallamplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact nonlinear elasticity are useful for the determination ... 
Torsion instability of soft solid cylinders
(Oxford Open Journals, 20131210)The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallelplate rheometry of stubby cylinders, the ... 
Torus Chiral nPoint Functions for Free Boson and Lattice Vertex Operator Algebras
(2002)We obtain explicit expressions for all genus one chiral npoint functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. 
Torus nPoint Functions for $\mathbb{R}$graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
(2007)We consider genus one npoint functions for a vertex operator superalgebra with a real grading. We compute all npoint functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... 
Toward a predictive assessment of stabpenetration forces
(Lippincott, Williams & Wilkins, 201509)Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ... 
Transverse waves in nonlinearly elastic solids and the MilnePinney equation
(SAGE Journals, 20110817)We establish a connection between the general equations of nonlinear elastodynamics and the nonlinear ordinary differential equation of Pinney [Proc Amer Math Soc 1950; 1: 681]. As a starting point, we use the exact ... 
Tuning the pullin instability of soft dielectric elastomers through loading protocols
(Elsevier, 20190322)Pullin (or electromechanical) instability occurs when a drastic decrease in the thickness of a dielectric elastomer results in electrical breakdown, which limits the applications of dielectric devices. Here we derive the ... 
A twoweight scheme for a timedependent advectiondiffusion problem
(2011)We consider a family of twoweight finite difference schemes for a timedependent advectiondiffusion problem. For a given uniform gridspacing in time and space, and for a fixed value of advection and diffusion parameters, ... 
Uniform transmural strain in prestressed arteries occurs at physiological pressure
(Elsevier, 20120621)Residual deformation (strain) exists in arterial vessels, and has been previously proposed to induce homogeneous transmural strain distribution. In this work, we present analytical formulations that predict the existence ... 
Vertex algebras according to Isaac Newton
(IOP Publishing, 20170908)We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton. 
Vertex Operators and Modular Forms
(2009)The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ... 
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 ... 
Virasoro Correlation Functions for Vertex Operator Algebras
(2011)We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially ... 
A wave near the edge of a circular disk
(2008)It is shown that in the LoveKirchhoff 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 ... 
Waves and vibrations in a solid of second grade
(World Scientific, 2006)We study the viscoelastic second grade solid, for which the constitutive equation consists in the sum of a purely elastic part and a viscoelastic part; this latter part is specified by two microstructural coefficients ... 
Weierstrass's criterion and compact solitary waves
(American Physical Society, 20070417)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 ... 
The weighted fusion category algebra and the $q$Schur algebra for $\rm GL_2(q)$
(ScienceDirect, 200801)[no abstract available] 
Wireless communicative stent for followup of abdominal aortic aneurysm,
(IEEE, 2006)An abdominal aortic aneurysm (AAA) is a dilatation of the aorta at the abdominal level, which rupture is a life threatening complication. Recent treatment of AAA consists in endovascular treatment with covered stent grafts. ... 
Wrinkles and creases in the bending, unbending and eversion of soft sectors
(The Royal Society, 20180323)We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ... 
Wrinkles in soft dielectric plates
(Elsevier, 20180704)We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through predeformation, the snapthrough behavior of their loading curve to deliver ...