We prove that special functions of bounded deformation with small jump set are close in energy to functions which are smooth in a slightly smaller domain. This permits to generalize the decay estimate by De Giorgi, Carriero, and Leaci to the linearized context in dimension n and to establish the closedness (up to negligible sets for the (n - 1)-dimensional Hausdorff measure) of the jump set for local minimizers of the Griffith energy. (C) 2019 Elsevier Masson SAS. All rights reserved.
Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy
Iurlano F
2019-01-01
Abstract
We prove that special functions of bounded deformation with small jump set are close in energy to functions which are smooth in a slightly smaller domain. This permits to generalize the decay estimate by De Giorgi, Carriero, and Leaci to the linearized context in dimension n and to establish the closedness (up to negligible sets for the (n - 1)-dimensional Hausdorff measure) of the jump set for local minimizers of the Griffith energy. (C) 2019 Elsevier Masson SAS. All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
