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.
|Titolo:||A model for crack propagation based on viscous approximation|
|Autori:||Lazzaroni, Giuliano; Toader, R.|
|Data di pubblicazione:||2011|
|Digital Object Identifier (DOI):||10.1142/S0218202511005647|
|Appare nelle tipologie:||1.1 Journal article|