18 citations · 26 across the 4 of their papers we have counts for
5 papers
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…
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…
Dimension reduction in the context of structured deformations
Graça Carita, José Matias, Marco Morandotti +1
In this paper we apply both the procedure of dimension reduction and the incorporation of structured deformations to a three-dimensional continuum in the form of a thinning domain.…
Second-order structured deformations: relaxation, integral representation and applications
Ana Cristina Barroso, José Matias, Marco Morandotti +1
Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submac…
Explicit Formulas for Relaxed Disarrangement Densities Arising from Structured Deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +1
Structured deformations provide a multiscale geometry that captures the contributions at the macrolevel of both smooth geometrical changes and non-smooth geometrical changes (disar…