17 citations · 38 across the 35 of their papers we have counts for
9 papers · 1 filter
The variational modeling of hierarchical structured deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +2
Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions of the present research are the first steps, at the theore…
Periodic homogenization in the context of structured deformations
Micol Amar, José Matias, Marco Morandotti +1
An energy for first-order structured deformations in the context of periodic homogenization is obtained. This energy, defined in principle by relaxation of an initial energy of int…
Relaxation for an optimal design problem in
Ana Cristina Barroso, José Matias, Elvira Zappale
We obtain a measure representation for a functional arising in the context of optimal design problems under linear growth conditions. The functional in question corresponds to the…
Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting
Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang +1
The -limit of a family of functionals is obtained for and when the integran…
A relaxation result in the vectorial setting and -approximation for -functionals
Francesca Prinari, Elvira Zappale
We provide relaxation for not lower semicontinuous supremal functionals of the type $W^{1,\infty}(Ω;\mathbb R^d) \ni u \mapsto\supess_{ x \in Ω}f(\nabla u(x))$ in the vectorial cas…
Upscaling and spatial localization of non-local energies with applications to crystal plasticity
José Matias, Marco Morandotti, David R. Owen +1
We describe multiscale geometrical changes via structured deformations and the non-local energetic response at a point via a function of the weighted averages of th…