281 citations · 2.1k across the 125 of their papers we have counts for
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Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Gianluca Rizzi, Geralf Hütter, Hassam Khan +3
We solve the St.Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including the relaxed micromorphi…
Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Gianluca Rizzi, Geralf Hütter, Angela Madeo +1
We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow t…
A non-ellipticity result, or the impossible taming of the logarithmic strain measure
Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
The logarithmic strain measures , where is the principal matrix logarithm of the stretch tensor corresponding to the deformation grad…
Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity
Ionel-Dumitrel Ghiba, Robert J. Martin, Patrizio Neff
We study convexity properties of energy functions in plane nonlinear elasticity of incompressible materials and show that rank-one convexity of an objective and isotropic elastic e…
Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition
Patrizio Neff, L. Angela Mihai
In this note, we show that the Cauchy stress tensor in nonlinear elasticity is injective along rank-one connected lines provided that the constitutive law is strictly rank-one…
The exponentiated Hencky strain energy in modelling tire derived material for moderately large deformations
Giuseppe Montella, Sanjay Govindjee, Patrizio Neff
This work presents a hyper-viscoelastic model based on the Hencky-logarithmic strain tensor to model the response of a Tire Derived Material (TDM) undergoing moderately large defor…