281 citations · 1.1k across the 45 of their papers we have counts for
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On Grioli's minimum property and its relation to Cauchy's polar decomposition
Patrizio Neff, Johannes Lankeit, Angela Madeo
The unitary polar factor of a matrix F is the unitary matrix Q realizing the minimum of the norm of F-Q over all unitary matrices Q. Tracing back the development on the optimality…
Wave propagation in relaxed micromorphic continua: modelling metamaterials with frequency band-gaps
Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba +2
In this paper the relaxed micromorphic model proposed in [Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Luca Placidi, Giuseppe Rosi. A unifying perspective: the relaxed linear…
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics
Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo +2
We study well-posedness for the relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-disl…
A unifying perspective: the relaxed linear micromorphic continuum
Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo +2
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-dislocation tensor. O…
Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids
N. Auffray, F. dell'Isola, V. Eremeyev +2
In this paper a stationary action principle is proven to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arg…