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 F-limit of evolutions along one-dimensional cracks when the fracture toughness tends to zero.

A variational model for the quasi-static growth of fractional dimensional brittle fractures

TOADER, Rodica
2014-01-01

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 F-limit of evolutions along one-dimensional cracks when the fracture toughness tends to zero.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3061332
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