%0 Journal Article %D 2014 %T A density result for GSBD and its application to the approximation of brittle fracture energies %A Flaviana Iurlano %X

We present an approximation result for functions u: Ω → ℝ^n belonging to the space GSBD(Ω) ∩ L2(Ω, ℝn) with e(u) square integrable and Hn-1(Ju) finite. The approximating functions uk are piecewise continuous functions such that uk → u in (Formula Presented). As an application, we provide the extension to the vector-valued case of the Γ-convergence result in GSBV(Ω) proved by Ambrosio and Tortorelli (Commun Pure Appl Math 43:999-1036, 1990; Boll. Un. Mat. Ital. B (7) 6:105-123, 1992).

%I Springer %G en %U http://urania.sissa.it/xmlui/handle/1963/34647 %1 34851 %2 Mathematics %$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-10-14T17:02:41Z No. of bitstreams: 1 preprint2014.pdf: 543013 bytes, checksum: 1d1170449f762ffdaf48812b31671bc2 (MD5) %R 10.1007/s00526-013-0676-7