Calculus of Variations and Geometric Measure Theory
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F. Farroni - G. Scilla - F. Solombrino

On some non-local approximation of nonisotropic Griffith-type functionals

created by scilla on 21 Apr 2021



Inserted: 21 apr 2021
Last Updated: 21 apr 2021

Year: 2021


The approximation in the sense of $\Gamma$-convergence of nonisotropic Griffith-type functionals, with $p$-growth $(p>1)$ in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is analysed.

Keywords: Brittle fracture, $\Gamma$-convergence, non-local approximations, Griffith functional,


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