29 citations · 100 across the 15 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.NA2026
On the linearised force balance condition in the analysis of atomistic dislocation models
Julian Braun, Thomas Hudson
A technical condition arising in the analysis of atomistic models for dislocations is studied. Key estimates for the far-field strain behaviour proved in Ehrlacher, Ortner, Shapeev…
cond-mat.stat-mech2026
On first-order thermodynamic equilibrium conditions for fluid-fluid and solid-phase interfaces
Nicodemo Di Pasquale, Thomas Hudson
Starting from the constrained variational formulation of Larché and Cahn for solids in contact with fluids, a unified thermodynamic framework for such systems is developed. Both bu…
cond-mat.mtrl-sci2026
Simulations of dislocation dynamics on an atomic lattice: the effect of collision rules
Tom Hudson, Akaraphon Jantaraphum, Patrick van Meurs
The stochastic dynamics of dislocations on a one-dimensional periodic lattice domain are considered. Two models are studied: one without a collision rule, and one which annihilates…