| Title | A variational model for the quasi-static growth of fractional dimensional brittle fractures |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Racca, S, Toader, R |
| Keywords | Variational models |
| Abstract | 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. |
| URL | http://hdl.handle.net/1963/6983 |
| DOI | 10.4171/IFB/328 |
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