Caterina Ida Zeppieri

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The combined effect of fine heterogeneities and small gradient perturbations is analyzed by means of an asymptotic development by Γ-convergence for a family of energies related to (onedimensional) phase transformations. We show that multi-scale effects add up to the usual sharp-interface limit, due to the homogenization of microscopic interfaces, internal(More)
In the framework of linear elasticity, we study the limit of a class of discrete free energies modeling strain-alignment-coupled systems by a rigorous coarse-graining procedure, as the number of molecules diverges. We focus on three paradigmatic examples: magnetostrictive solids, ferroelectric crystals and nematic elastomers, obtaining in the limit three(More)
We study the asymptotic behavior of a sequence of Dirichlet problems for second order linear operators in divergence form where the matrix (σε) ⊂ L∞(Ω;Rn×n) is uniformly elliptic and possibly nonsymmetric. Because of the variational principle of Cherkaev and Gibiansky [Math. Phys., 35 (1994), pp. 127–145], we are able to prove a variational characterization(More)
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