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

Abstract

The approximation in the sense of Γ-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

• non-local approximations
• γ-convergence
• griffith functional
• brittle fracture