Non-local approximation of the Griffith functional
2021 ◽
Vol 28
(2)
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AbstractAn approximation, in the sense of $$\Gamma $$ Γ -convergence and in any dimension $$d\ge 1$$ d ≥ 1 , of Griffith-type functionals, with p-growth ($$p>1$$ 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.
2007 ◽
Vol 186
(4)
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pp. 721-744
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2004 ◽
Vol 16
(3)
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pp. 361-371
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1974 ◽
Vol 340
(1622)
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pp. 301-322
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2013 ◽
Vol 23
(2)
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pp. 261-296
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2007 ◽
Vol 29
(1)
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pp. 13-24
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2007 ◽
Vol 13
(1)
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pp. 135-162
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