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.File in questo prodotto:
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