Interfaces and Free Boundaries
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Published online: 2014-12-10
A variational model for the quasi-static growth of fractional dimensional brittle fracturesSimone Racca and Rodica Toader (1) SISSA, Trieste, Italy
(2) Università di Udine, Italy
We propose a variational model for the irreversible quasi-static evolution of brittle fractures having fractional Hausdorff dimension in the setting of two-dimensional antiplane and plane elasticity. The evolution along such irregular crack paths can be obtained as $\Gamma$ -limit of evolutions along one-dimensional cracks when the fracture toughness tends to zero.
Keywords: Variational models, energy minimization, von Koch curve, crack propagation, quasi-static evolution, brittle fractures
Racca Simone, Toader Rodica: A variational model for the quasi-static growth of fractional dimensional brittle fractures. Interfaces Free Bound. 16 (2014), 509-538. doi: 10.4171/IFB/328