Browsing Mathematics (Scholarly Articles) by Author "Saccomandi, Giuseppe"
Now showing items 1-7 of 7
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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 ... -
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 ...