281 citations · 2.1k across the 125 of their papers we have counts for
13 papers · 1 filter
Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory
Mircea Birsan, Patrizio Neff
In the framework of the geometrically nonlinear 6-parameter resultant shell theory we give a characterization of the shells without drilling rotations. These are shells for which t…
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 minimization of matrix logarithms - on a fundamental property of the unitary polar factor
Johannes Lankeit, Patrizio Neff, Yuji Nakatsukasa
We show that the unitary factor U in the polar decomposition of a nonsingular matrix Z = U H is the minimizer for both ||Log(Q^* Z)|| and ||sym (Log(Q^*Z))|| over unitary Q, for an…
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…