A variational model for the quasi-static growth of fractional dimensional brittle fractures (Q2255308)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational model for the quasi-static growth of fractional dimensional brittle fractures |
scientific article |
Statements
A variational model for the quasi-static growth of fractional dimensional brittle fractures (English)
0 references
9 February 2015
0 references
Summary: 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.
0 references
variational models
0 references
energy minimization
0 references
von Koch curve
0 references
crack propagation
0 references
quasi-static evolution
0 references
brittle fractures
0 references
