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4 papers
A stochastic framework for atomistic fracture
Maciej Buze, Thomas E. Woolley, L. Angela Mihai
We present a stochastic modeling framework for atomistic propagation of a Mode I surface crack, with atoms interacting according to the Lennard-Jones interatomic potential at zero…
Analysis of cell size effects in atomistic crack propagation
Maciej Buze, Thomas Hudson, Christoph Ortner
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, a…
Analysis of an atomistic model for anti-plane fracture
Maciej Buze, Thomas Hudson, Christoph Ortner
We develop a model for an anti-plane crack defect posed on a square lattice under an interatomic pair-potential with nearest-neighbour interactions. In particular, we establish exi…
The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores
Julian Braun, Maciej Buze, Christoph Ortner
In linearised continuum elasticity, the elastic strain due to a straight dislocation line decays as , where denotes the distance to the defect core. It is shown in E…