Journal
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume 28, Issue 2, Pages -Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s00030-021-00682-y
Keywords
Non-local approximations; G-convergence; Griffith functional; Brittle fracture
Categories
Funding
- Italian Ministry of Education, University and Research through the Project Variational methods for stationary and evolution problems with singularities and interfaces (PRIN 2017)
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This study provides an approximation of Griffith-type functionals with p-growth in the symmetrized gradient by using a sequence of nonlocal integral functionals depending on the average of the symmetrized gradients on small balls. This helps understand the behavior of Griffith-type functions in different dimensions.
An approximation, in the sense of G-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 nonlocal integral functionals depending on the average of the symmetrized gradients on small balls.
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