4 papers
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.…
Differential Equations and A-quasiconvexity
A. C. Barroso, J. Matias, P. M. Santos
In this paper we extend to the abstract A-framework some existence theorems for differential inclusion problems with Dirichlet boundary conditions.
Homogenization problems in the Calculus of Variations: an overview
José Matias, Marco Morandotti
In this note we present a brief overview of variational methods to solve homogenization problems. The purpose is to give a first insight on the subject by presenting some fundament…