Analysis of cell size effects in atomistic crack propagation

Maciej Buze, Thomas Hudson, Christoph Ortner
2020 Mathematical Modelling and Numerical Analysis  
We consider crack propagation in a crystalline material in terms of bifurcation analysis. We provide evidence that the stress intensity factor is a natural bifurcation parameter, and that the resulting bifurcation diagram is a periodic "snaking curve". We then prove qualitative properties of the equilibria and convergence rates of finite-cell approximations to the "exact" bifurcation diagram.
doi:10.1051/m2an/2020005 fatcat:7zqychbmqnbldjd6hhcr4uxx4m