Inserted: 26 feb 2016
Last Updated: 31 aug 2016
Journal: Nonlinear Anal.
Preprint SISSA 102016MATE
We study a variational model for the quasistatic growth of cracks with fractional dimension in brittle materials. We give a minimal set of properties of the collection of admissible cracks which ensure the existence of a quasistatic evolution. Both the antiplane and the planar cases are treated.
Keywords: linearized elasticity, fracture mechanics, quasistatic evolution, rate-independent processes, energy minimization, Griffith’s energy criterion, fractional dimension