Geodesic
A variational model for the quasi-static growth of fractional dimensional brittle fractures
Simone Racca1 ; Rodica Toader2
1SISSA, Trieste, Italy
2Università di Udine, Italy
Interfaces and free boundaries, Tome 16 (2014) no. 4, pp. 509-538

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DOI

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 Γ -limit of evolutions along one-dimensional cracks when the fracture toughness tends to zero.
DOI : 10.4171/ifb/328
Classification : 74-XX, 28-XX, 35-XX, 49-XX
Mots-clés : Variational models, energy minimization, von Koch curve, crack propagation, quasi-static evolution, brittle fractures

Simone Racca  1   ; Rodica Toader  2

1 SISSA, Trieste, Italy
2 Università di Udine, Italy 
Simone Racca; Rodica Toader. A variational model for the quasi-static growth of fractional dimensional brittle fractures. Interfaces and free boundaries, Tome 16 (2014) no. 4, pp. 509-538. doi: 10.4171/ifb/328
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     title = {A variational model for the quasi-static growth of fractional dimensional brittle fractures},
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     pages = {509--538},
     year = {2014},
     volume = {16},
     number = {4},
     doi = {10.4171/ifb/328},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/328/}
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