Quasistatic crack growth based on viscous approximation: a model with branching and kinking
Employing the technique of vanishing viscosity and time rescaling, we show the existence of quasistatic evolutions of cracks in brittle materials in the setting of antiplane shear. The crack path is not prescribed a priori and is chosen in an admissible class of piecewise regular sets that allows for branching and kinking.
The final publication is available at Springer via http://dx.doi.org/10.1007/s00030-016-0426-6
brittle fracture, crack propagation, free-discontinuity problems, vanishing viscosity, local minimizers, Griffith’s criterion, energy release rate