00842nas a2200133 4500008004100000245009600041210006900137260003400206520037200240653002300612100001800635700001900653856003600672 2014 en d00aA variational model for the quasi-static growth of fractional dimensional brittle fractures0 avariational model for the quasistatic growth of fractional dimen bEuropean Mathematical Society3 aWe 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.10aVariational models1 aRacca, Simone1 aToader, Rodica uhttp://hdl.handle.net/1963/6983