18 citations · 26 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
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…
Asymptotic analysis of a clamped thin multidomain allowing for fractures and discontinuities
G. Carvalho, J. Matias, E. Zappale
We consider a thin multidomain of consisting of a vertical rod upon a horizontal disk. The equilibrium configurations of the thin hyperelastic multidomain, allowing…
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.
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…
Homogenization of functional with linear growth in the context of -quasiconvexity
José Matias, Marco Morandotti, Pedro M. Santos
This work deals with the homogenization of functionals with linear growth in the context of -quasiconvexity. A representation theorem is proved, where the new integran…