Now showing items 163-182 of 189

    • 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 ...
    • 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 ...
    • Surface waves in orthotropic incompressible materials 

      Destrade, Michel (Acoustical Society of America, 2001-04-17)
      The secular equation for surface acoustic waves propagating on an orthotropic incompressible half-space is derived in a direct manner, using the method of first integrals.
    • The Szegö Kernel on a Sewn Riemann Surface 

      Tuite, Michael P.; Zuevsky, Alexander (2010)
      We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ...
    • Tate's and Yoshida's theorems on control of transfer for fusion systems 

      Park, Sejong (2010-03)
      We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of p-group residuals and transfer maps in cohomology for fusion systems. As a corollary, we obtain a ...
    • Temperature effects on brain tissue in compression 

      Destrade, Michel; Gilchrist, Michael (2012)
      Extensive research has been carried out for at least 50 years to understand the mechanical properties of brain tissue in order to understand the mechanisms of traumatic brain injury (TBI). The observed large variability ...
    • Third and fourth-order elasticity of biological soft tissues 

      Destrade, Michel; Gilchrist, Michael D. (Acoustical Society of America, 2010-01-24)
      In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 41-44 (2004)] identified W = -I2+(A/3)I3+DI22 as the fourth-order expansion of the strain-energy density for incompressible isotropic ...
    • Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect. 

      Destrade, Michel; Gilchrist, Michael D. (Acoustical Society of America, 2010-02)
      Acousto-elasticity is concerned with the propagation of small-amplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact non-linear elasticity are useful for the determination ...
    • Torsion instability of soft solid cylinders 

      Destrade, Michel (Oxford Open Journals, 2013-12-10)
      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 parallel-plate rheometry of stubby cylinders, the ...
    • 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.
    • 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, ...
    • Toward a predictive assessment of stab-penetration forces 

      Destrade, Michel (Lippincott, Williams & Wilkins, 2015-09)
      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 Milne-Pinney equation 

      Destrade, Michel (SAGE Journals, 2011-08-17)
      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 pull-in instability of soft dielectric elastomers through loading protocols 

      Su, Y.P.; Chen, W.Q.; Destrade, Michel (Elsevier, 2019-03-22)
      Pull-in (or electro-mechanical) 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 two-weight scheme for a time-dependent advection-diffusion problem 

      Chadha, Naresh M.; Madden, Niall (2011)
      We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, ...
    • Uniform transmural strain in pre-stressed arteries occurs at physiological pressure 

      Destrade, Michel; Liu, Yi; Murphy, Jeremiah G.; Kassab, Ghassan S. (Elsevier, 2012-06-21)
      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 

      Tuite, Michael P. (IOP Publishing, 2017-09-08)
      We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.
    • Vertex Operators and Modular Forms 

      Mason, Geoffrey; Tuite, Michael P. (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 

      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 ...
    • Virasoro Correlation Functions for Vertex Operator Algebras 

      Hurley, Donny; Tuite, Michael P. (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 ...