9 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…
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…
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…