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- Title
A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION.
- Authors
LAZZARONI, GIULIANO; TOADER, RODICA; Maso, G. Dal
- Abstract
In the setting of antiplane linearized elasticity, we show the existence of quasistatic evolutions of cracks in brittle materials by using a vanishing viscosity approach, thus taking into account local minimization. The main feature of our model is that the path followed by the crack need not be prescribed a priori: indeed, it is found as the limit (in the sense of Hausdorff convergence) of curves obtained by an incremental procedure. The result is based on a continuity property for the energy release rate in a suitable class of admissible cracks.
- Subjects
MATHEMATICAL models; FRACTURE mechanics; VISCOUS flow; APPROXIMATION theory; ELASTICITY; ENERGY derivatives; STOCHASTIC convergence
- Publication
Mathematical Models & Methods in Applied Sciences, 2011, Vol 21, Issue 10, p2019
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202511005647