A VANISHING VISCOSITY APPROACH TO FRACTURE GROWTH IN A COHESIVE ZONE MODEL WITH PRESCRIBED CRACK PATH
By F. Cagnetti. 2008
58 citations recorded by the source corpus.
The existence of crack evolutions based on critical points of the energy functional is proved, in the case of a cohesive zone model with prescribed crack path. It turns out that evolutions of this type satisfy a maximum stress criterion for the crack initiation. With an explicit example, it is shown that evolutions based on the absolute minimization of the energy functional do not enjoy this property.
Subfields: Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/37ae53e5c04683ce81bc07dcdd3539f6f481f865
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In Computational Theory and Mathematics
- Alexander Mielke
- Giuseppe Savar'e
- Riccarda Rossi
- Ulisse Stefanelli
- Jean-Jacques Marigo
- Tomás Roubícek
- Jörn Mosler
- K. Pham
In Mechanics of Materials
- Giuseppe Savar'e
- Riccarda Rossi
- Alexander Mielke
- Andreas Mainik
- Jörn Mosler
- F. Fischer
- Klaus Hackl
- A. Fatemi
Citations in the corpus
- Modeling solutions with jumps for rate-independent systems on metric spaces (2008, methodology): “In Section 5, we compare the notion of BV solutions with other solutions concepts, namely with the energetic solutions of [21, 24], and with the approximable and local solutions of [14, 27, 5] (suitably rephrased in the metric setting, see Definitions 5.”