Now showing items 1-16 of 16

  • Cell complexes database for the Bianchi groups 

    Rahm, Alexander D. (NUI Galway, 2016-05-18)
    This is a database of quotients by Bianchi groups of two-dimensional cellular equivariant retracts of Hyperbolic three-space. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ...
  • Extreme softness of brain matter in simple shear 

    Destrade, Michel; Murphy, J.G.; Gilchrist, M.; Rashid, J.G.; Saccomandi, Giuseppe (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 ...
  • Features and purposes of mathematical proofs in the view of novice students: observations from proof validation and evaluation performances 

    Pfeiffer, Kirsten (2010-12-22)
    This thesis describes a comprehensive exploratory study of the approaches taken by novice students to the validation and evaluation of mathematical proofs. A theoretical framework based on sociocultural learning theories ...
  • Gent models for the inflation of spherical balloons 

    Mangan, Robert; Destrade, Michel (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 ...
  • Incremental equations for soft fibrous materials 

    Destrade, Michel (Springer, 2015)
    The general theory of nonlinear anisotropic elasticity is extended to describe small-amplitude motions and static deformations that can be superimposed on large pre-strains of fibre-reinforced solids. The linearised ...
  • Interface waves in pre-stressed incompressible solids 

    Destrade, Michel (Springer, 2007)
    We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semi-infinite solid. With a view to model loaded elastomers and soft ...
  • Introduction to the special issue on stability under finite deformation 

    Destrade, Michel; Saccomandi, Giuseppe (Oxford University Press, 2010)
    In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
  • John Todd and the development of modern numerical analysis 

    Niall Madden (2012)
    The purpose of this article is to mark the centenary of the birth of John Todd, a pioneer in the fields of numerical analysis and computational science. A brief account is given of his early life and career, and that of ...
  • Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis 

    Jiang, Yi; Li, Guoyang; Qian, Lin-Xue; Liang, Si; Destrade, Michel; Cao, Yanping (Springer, 2015-02-20)
    We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ...
  • Mechanical properties of excised human skin 

    Ni Annaidh, Aisling; Ottenio, M.; Bruyere, K.; Destrade, Michel; Gilchrist, Michael D. (Springer Verlag, 2010)
    In this study we have investigated in influence of location, gender and orientation on the deformation characteristics of 55 samples of human excised skin. Uniaxial tensile tests were carried out at a strain rate of ...
  • Multiples of Pfister forms 

    O'Shea, James (Elsevier, 2016-03-01)
    The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
  • A note about waves in dissipative and dispersive solids 

    Destrade, Michel; Saccomandi, Giuseppe (World Scientific, 2008)
    We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations ...
  • On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter 

    Ciarletta, Pasquale; Destrade, Michel; Gower, Artur L. (Nature Publishing Group, 2016-04-26)
    Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ...
  • Onde de Love Piézoacoustique 

    Collet, Bernard; Destrade, Michel (2006-04-24)
    Une sélection de résultats analytiques et numériques concernant la propagation d'ondes planes harmoniques guidées dans un bicouche piézoélectrique est présentée. L'étude effectuée concerne les modes transverses horizontaux ...
  • Ray W Ogden: An Appreciation 

    Destrade, Michel; Dorfmann, Luis (SAGE Publications, 2015-07)
    This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ...
  • Waves and vibrations in a solid of second grade 

    Destrade, Michel; Saccomandi, Giuseppe (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 ...