ARAN - Access to Research at NUI Galway

Browsing Mathematics (Scholarly Articles) by Title

ARAN - Access to Research at NUI Galway

Browsing Mathematics (Scholarly Articles) by Title

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  • 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 ...
  • 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 ...
  • 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 ...
  • Rahm, Alexander D. (2012)
    Consider an imaginary quadratic number field Q(root -m), with m a square-free positive integer, and its ring of integers {O} . The Bianchi groups are the groups SL2{O}. Further consider the Borel-Serre compactification [7] ...
  • 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 ...
  • 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 ...
  • Rahm, Alexander D. (2013)
    In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms.
  • 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. ...
  • Destrade, Michel (Oxford Journals, 2012-03-30)
    On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...
  • 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 ...
  • Park, Sejong (Elsevier, 2011-11)
    We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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, ...
  • 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 $k$ ...
  • Destrade, Michel (Oxford University Press, 2003)
    The stability of a Bell-constrained half-space in compression is studied. To this end, the propagation of Rayleigh waves on the surface of the material when it is maintained in a static state of triaxial prestrain is ...

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