1 citations · 2 across the 4 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2024★ 1 cited
Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations
Julian Braun, Maciej Buze
The elastic field around a crack opening is known to be described by continuum linearised elasticity in leading order. In this work, we explicitly develop the next term in the atom…
math.AP2018
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…
math.AP2017★ 1 cited
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…