Calculus of Variations and Geometric Measure Theory

V. Crismale - G. Lazzaroni

Quasistatic crack growth based on viscous approximation: a model with branching and kinking

created by lazzaroni on 01 Jun 2016
modified on 04 Jan 2017


Published Paper

Inserted: 1 jun 2016
Last Updated: 4 jan 2017

Journal: NoDEA Nonlinear Differential Equations Appl.
Volume: 24:7
Year: 2017
Doi: 10.1007/s00030-016-0426-6


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.