2 citations · 5 across the 8 of their papers we have counts for
11 papers
Polynomial diagrams for microstructure modelling
David P. Bourne, Maciej Buze, Thomas Gallouët +1
We formulate a framework of polynomial diagrams, which are a generalisation of power diagrams (PDs) and anisotropic power diagrams (APDs) allowing for boundaries between cells to b…
Resolving Structural Avalanches in Amorphous Carbon with Arclength Continuation
Fraser Birks, Ibrahim Ghanem, Lars Pastewka +2
Plastic deformation in amorphous solids is carried by localized shear transformations that self-organize into avalanches. In amorphous carbon modeled with a machine-learned interat…
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…
Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport
Maciej Buze, Jean Feydy, Steven M. Roper +2
The microstructure of metals and foams can be effectively modelled with anisotropic power diagrams (APDs), which provide control over the shape of individual grains. One major obst…
Constrained Hellinger-Kantorovich barycenters: least-cost soft and conic multi-marginal formulations
Maciej Buze
We show that the problem of finding the barycenter in the Hellinger-Kantorovich setting admits a least-cost soft multi-marginal formulation, provided that a one-sided hard marginal…
Entropic regularisation of unbalanced optimal transportation problems
Maciej Buze, Manh Hong Duong
We develop a mathematical theory of entropic regularisation of unbalanced optimal transport problems. Focusing on static formulation and relying on the formalism developed for the…
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…
Atomistic modelling of near-crack-tip plasticity
Maciej Buze
An atomistic model of near-crack-tip plasticity on a square lattice under anti-plane shear kinematics is formulated and studied. The model is based upon a new geometric and functio…
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…