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Browsing Mathematics (Scholarly Articles) by Title

Now showing items 36-55 of 85

Large acoustoelastic effect

Destrade, Michel (Elsevier, 2012-03)

Classical acoustoelasticity couples small-amplitude elastic wave propagation to an infinitesimal pre-deformation, in order to reveal and evaluate non-destructively third-order elasticity constants. Here, we see that ...
Large amplitude Love waves

Destrade, Michel (Oxford Journals, 2008-04-22)

In the context of the finite elasticity theory, we consider a model for compressible solids called 'compressible neo-Hookean material'. We show how finite-amplitude inhomogeneous plane wave solutions and finite-amplitude ...
Measuring knife stab penetration into skin simulant using a novel biaxial tension device

Destrade, Michel (Elsevier, 2008)

This paper describes the development and use of a biaxial measurement device to analyse the mechanics of knife stabbings. In medicolegal situations it is typical to describe the consequences of a stabbing incident in ...
Mechanical characterization of brain tissue in compression at dynamic strain rates

Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2012-03-02)

Traumatic brain injury (TBI) occurs when local mechanical load exceeds certain tolerance levels for brain tissue. Extensive research has been done previously for brain matter experiencing compression at quasistatic loading; ...
Monstrous and Generalized Moonshine and Permutation Orbifolds

Tuite, Michael P. (2008)

We consider the application of permutation orbifold constructions towards a new possible understanding of the genus zero property in Monstrous and Generalized Moonshine. We describe a theory of twisted Hecke operators in ...
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 ...
Nonlinear Euler buckling

Goriely, Alain; Vandiver, Rebecca; Destrade, Michel (Royal Society Publishing, 2008-11)

The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for ...
Nonlinear transverse waves in deformed dispersive solids

Destrade, Michel (Elsevier, 2008)

We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (non-dissipative) properties of a hyperelastic dispersive ...
On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability

Destrade, Michel (Elsevier, 2010-11)

Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thick-walled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ...
On Genus Two Riemann Surfaces Formed from Sewn Tori

Mason, Geoffrey; Tuite, Michael P. (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 ...
On magneto-acoustic waves in finitely deformed elastic solids

Destrade, Michel (SAGE Journals, 2011)

In this paper, in the context of the quasi-magnetostatic approximation, we examine incremental motions superimposed on a static finite deformation of a magneto-elastic material in the presence of an applied magnetic field. ...
On the Abaqus FEA model of finite viscoelasticity

Destrade, Michel (American Chemical Society, 2009-05)

Predictions of the QLV (Quasi-Linear Viscoelastic) constitutive law are compared with those of the ABAQUS viscoelastic model for two simple motions in order to highlight, in particular, their very different dissipation ...
On the rectilinear shear of compressible and incompressible elastic slabs

Destrade, Michel (2010)

We review some pseudo-planar deformations for the equations of incompressible isotropic nonlinear elasticity first introduced in 1985 by Rajagopal and Wineman. We extend this class of deformations to compressible isotropic ...
On the third- and fourth-order constants of incompressible isotropic elasticity.

Destrade, Michel (Acoustical Society of America, 2010-04-25)

Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can ...
Onset of non-linearity in the elastic bending of blocks

Destrade, Michel; Gilchrist, Michael D. (American Society of Mechanical Engineers, 2013-01-25)

The classical flexure problem of non-linear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general moment-bending angle ...
Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedance-contrast layered plates

Destrade, Michel (2008)

Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semianalytical expressions of the surface impedance matrices ...
Piezoelectric Love waves on rotated Y-cut mm2 substrates

Destrade, Michel (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 ...
Proper formulation of viscous dissipation for nonlinear waves in solids

Destrade, Michel (Acoustical Society of America, 2013-03)

To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to ...
A quiver presentation for Solomon's descent algebra

Pfeiffer, Götz (Elsvier, 2009)

The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ...
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 $k$ ...