Recent Submissions

  • A refinement of a conjecture of Quillen 

    Rahm, Alexander D. (Elsevier ScienceDirect, 2015-09)
    We present some new results on the cohomology of a large scope of SL2 groups in degrees above the virtual cohomological dimension, yielding some partial positive results for the Quillen conjecture in rank one. We combine ...
  • 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are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished.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, ...
  • 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 ...
  • 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 ...
  • A combined experimental and numerical study of stab-penetration forces 

    Ní Annaidh, Aisling; Cassidy, Mary; Curtis, Michael; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2013-12)
    The magnitude of force used in a stabbing incident can be difficult to quantify, although the estimate given by forensic pathologists is often seen as 'critical' evidence in medico-legal situations. The main objective of ...
  • On stress-dependent elastic moduli and wave speeds 

    Destrade, Michel; Ogden, R.W. (Oxford University Press, 2013)
    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 ...
  • On anisotropic elasticity and questions concerning its Finite Element implementation 

    Vergori, Luigi; Destrade, Michel; McGarry, Patrick; Ogden, Ray W. (Springer, 2013-05-21)
    We give conditions on the strain-energy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ...
  • Mechanical characterization of brain tissue in simple shear at dynamic strain rates 

    Rashid, Badar; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2013-12)
    During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ...
  • Shear instability in skin tissue 

    Ciarletta, Pasquale; Destrade, Michel; Gower, Artur L. (Oxford University Press, 2013)
    We propose two toy-models to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ...
  • Influence of preservation temperature on the measured mechanical properties of brain tissue 

    Rashid, Badar; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2013-04-26)
    The large variability in experimentally measured mechanical properties of brain tissue is due to many factors including heterogeneity, anisotropy, age dependence and post-mortem time. Moreover, differences in test protocols ...
  • Deficiencies in numerical models of anisotropic nonlinearly elastic materials 

    Ní Annaidh, Aisling; Destrade, Michel; Gilchrist, M.; Murphy, J.G. (Springer, 2013-08)
    Incompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying ...
  • 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 ...
  • At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials 

    Destrade, Michel; Mac Donald, B.; Murphy, J.G.; Saccomandi, Giuseppe (Springer, 2013-04-18)
    The modelling of off-axis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Initial stress symmetry and its applications in elasticity 

    Gower, Artur Lewis; Destrade, Michel (The Royal Society, 2015-10-28)
    An initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason, it is useful to develop a ...
  • Some design considerations for polymer-free drug-eluting stents: a mathematical approach 

    Meere, Martin (Elsevier (Science Direct), 2015)
    In this paper we provide the first model of drug elution from polymer-free arterial drug-eluting stents. The generalised model is capable of predicting the drug release from a number of polymer-free systems including those ...
  • Generalized Moonshine and orbifold constructions. 

    Ivanov, R.I., Tuite, M.P. (Research Institute for Mathematical Sciences (Kokyuroku), 2002)
    A brief review is given of some of our recent work on Generalised Monstrous Moonshine using abelian orbifoldings of the Moonshine Module.
  • A mathematical model for the release of peptide-binding drugs from affinity hydrogels 

    Meere, Martin G. (Palgrave, 2015-01-09)
    A mathematical model for the release of peptide-binding drugs from affinity hydrogels is analyzed in detail. The model is not specific to any particular peptide/drug/gel system, and can describe drug release from a large ...

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