Browsing SISSA Preprints by Author "Barchiesi, Marco"

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A bridging mechanism in the homogenisation of brittle composites with soft inclusions

Barchiesi, Marco; Lazzaroni, Giuliano; Zeppieri, Caterina Ida (SISSA, 2015)

We provide a homogenisation result for the energy-functional associated with a purely brittle composite whose microstructure is characterised by soft periodic inclusions embedded in a stiffer matrix. We show that the two ...
Loss of polyconvexity by homogenization: a new example

Barchiesi, Marco (2006-04-18)

This article is devoted to the study of the asymptotic behavior of the zero-energy deformations set of a periodic nonlinear composite material. We approach the problem using two-scale Young measures. We apply our analysis ...
Multiscale homogenization of convex functionals with discontinuous integrand

Barchiesi, Marco (2005)

This article is devoted to obtain the $\Gamma$-limit, as $\epsilon$ tends to zero, of the family of functionals $$F_{\epsilon}(u)=\int_{\Omega}f\Bigl(x,\frac{x}{\epsilon},..., \frac{x}{\epsilon^n},\nabla u(x)\Bigr)dx$$, ...

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