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arXiv · 2007.04623

Non-local approximation of the Griffith functional

Giovanni Scilla·Francesco Solombrino
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Abstract

An approximation, in the sense of $\Gamma$-convergence and in any dimension $d\geq1$, 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.

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Giovanni Scilla, Francesco Solombrino. 2020-07-09. Non-local approximation of the Griffith functional. https://arxiv.org/abs/2007.04623

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