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15 papers · 2 filters
Straightening wrinkles
Michel Destrade, Ray W. Ogden, Ivonne Sgura +1
We consider the elastic deformation of a circular cylindrical sector composed of an incompressible isotropic soft solid when it is straightened into a rectangular block. In this pr…
Straightening: Existence, uniqueness and stability
Michel Destrade, Ray W. Ogden, Ivonne Sgura +1
One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is rev…
Gent models for the inflation of spherical balloons
Robert Mangan, Michel Destrade
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…
Extreme softness of brain matter in simple shear
Michel Destrade, Michael D. Gilchrist, Jerry G. Murphy +2
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…
Morphology of residually-stressed tubular tissues: Beyond the elastic multiplicative decomposition
Pasquale Ciarletta, Michel Destrade, Artur L. Gower +1
Many interesting shapes appearing in the biological world are formed by the onset of mechanical instability. In this work we consider how the build-up of residual stress can cause…
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
Robert Mangan, Michel Destrade, Giuseppe Saccomandi
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 t…