18 citations · 26 across the 13 of their papers we have counts for
14 papers
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +2
The response of many materials to applied forces and boundary constraints depends upon internal geometric changes at multiple submacroscopic levels. Hierarchical structured deforma…
SBH-ellipticity of the relaxed interfacial energy density in the context of second-order structured deformations
A. C. Barroso, J. Matias, E. Zappale
Starting from an energy comprised of both a bulk term and a surface term, set in the space of special functions of bounded hessian, , a relaxation problem in the context of se…
Multi-level structured deformations: relaxation via a global method approach
A. C. Barroso, J. Matias, E. Zappale
We present some relaxation and integral representation results for energy functionals in the setting of structured deformations, with special emphasis given to the case of multi-le…
Integral representation for a relaxed optimal design problem for non-simple grade two materials
Ana Cristina Barroso, Elvira Zappale
A measure representation result for a functional modelling optimal design problems for plastic deformations, under linear growth conditions, is obtained. Departing from an energy w…
A Global Method for Relaxation for Multi-levelled Structured Deformations
Ana Cristina Barroso, José Matias, Elvira Zappale
We prove an integral representation result for a class of variational functionals appearing in the framework of hierarchical systems of structured deformations via a global method…
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…
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…
An optimal design problem with non-standard growth and no concentration effects
Ana Cristina Barroso, Elvira Zappale
We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions and perimet…
Relaxation for an optimal design problem with nonstandard growth
Ana Cristina Barroso, Elvira Zappale
In this paper we investigate the possibility of obtaining a measure representation for function- als arising in the context of optimal design problems under non-standard growth con…
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.
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…
Sufficient conditions for existence of solutions to vectorial differential inclusions
Ana Cristina Barroso, Gisella Croce, Ana Ribeiro
In this paper we discuss the existence of solutions to vectorial differential inclusions. We investigate sufficient conditions for existence, more flexible than those available in…
On the existence of solutions to a nonlinear system involving isotropic deformations
Ana Cristina Barroso, Gisella Croce, Ana Ribeiro
In this paper we study the existence of solutions to an isotropic differential inclusion.