An approximation, in the sense of Γ -convergence and in any dimension d≥ 1 , of Griffith-type functionals, with p-growth (p> 1) in the symmetrized gradient, is provided by means of a sequence of non-local integral functionals depending on the average of the symmetrized gradients on small balls.
Non-local approximation of the Griffith functional / Scilla, G.; Solombrino, F.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 28:2(2021). [10.1007/s00030-021-00682-y]
Non-local approximation of the Griffith functional
Scilla G.
;Solombrino F.
2021
Abstract
An approximation, in the sense of Γ -convergence and in any dimension d≥ 1 , of Griffith-type functionals, with p-growth (p> 1) in the symmetrized gradient, is provided by means of a sequence of non-local integral functionals depending on the average of the symmetrized gradients on small balls.File in questo prodotto:
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