| Title | A density result for GSBD and its application to the approximation of brittle fracture energies |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Iurlano, 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). |
| URL | http://urania.sissa.it/xmlui/handle/1963/34647 |
| DOI | 10.1007/s00526-013-0676-7 |
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