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A density result for GSBD and its application to the approximation of brittle fracture energies

TitleA density result for GSBD and its application to the approximation of brittle fracture energies
Publication TypeJournal Article
Year of Publication2014
AuthorsIurlano, F
Abstract

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).

URLhttp://urania.sissa.it/xmlui/handle/1963/34647
DOI10.1007/s00526-013-0676-7

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