Now showing items 1-9 of 9

    • 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 ...
    • Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids 

      Destrade, Michel; Pucci, Edvige; Saccomandi, Giuseppe (The Royal Society, 2019-07-03)
      We study elastic shear waves of small but finite amplitude, composed of an anti-plane shear motion and a general in-plane motion. We use a multiple scales expansion to derive an asymptotic system of coupled nonlinear ...
    • 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 ...
    • Methodical fitting for mathematical models of rubber-like materials 

      Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne (The Royal Society Publishing, 2017-02-08)
      A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be ...
    • 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 ...
    • Rivlin's legacy in continuum mechanics and applied mathematics 

      Destrade, Michel; Murphy, Jeremiah; Saccomandi, Giuseppe (The Royal Society, 2019-03-18)
      Over a long and distinguished career, Ronald Rivlin (figure 1) published more than 200 scientific papers. He was a highly innovative scientist who made seminal contributions in all areas of continuum mechanics. He was one ...
    • Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion 

      Mangan, Robert; Destrade, Michel; Saccomandi, Giuseppe (Elsevier, 2016-07-18)
      We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...
    • 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 ...