Browsing Mathematics by Author "Saccomandi, Giuseppe"
Now showing items 19 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, 20130418)The modelling of offaxis 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, 20150313)We show that porcine brain matter can be modelled accurately as a very soft rubberlike material using the MooneyRivlin 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, 20190703)We study elastic shear waves of small but finite amplitude, composed of an antiplane shear motion and a general inplane 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 prestressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured prestressed structure ... 
Methodical fitting for mathematical models of rubberlike materials
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne (The Royal Society Publishing, 20170208)A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth 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, 20190318)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 nonlinear elastic incompressible solids with linear finite strain response in shear and torsion
Mangan, Robert; Destrade, Michel; Saccomandi, Giuseppe (Elsevier, 20160718)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 ...