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Γ-convergence [14, proposition 8.3], we deduce the following corollary.
Corollary 2.3. Let (Wk) ⊂ W and let Fk be the functionals as in (2.5). Let W ′, W ′′ be as in (2.7) and (2.8), respectively. Assume that [...] } . (4.8)
Indeed if x ∈ A2 k there is z ∈ A1
k with Qηεk (z) ⊂ Qεk
(x) and therefore
εk
Qεk
(x)
Wk(y, e(uk)) dy ηnεk
Qηεk
(z)
Wk(y, e(uk)) dy βi
αimηηn .
By combining together (4.7) and (4.8) we find [...] elasticity 3
Above, the limit bulk density W can be characterised in terms of cell formula [see (2.7)–(2.8)]. Remarkably, that coincides exactly with the asymptotic for- mula that one would obtain by considering …