53 citations · 189 across the 31 of their papers we have counts for
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A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Two-Dimensional Lattices: The hexagonal case
Malena I. Espanol, Dmitry Golovaty, J. Patrick Wilber
In this paper, we extend the discrete-to-continuum procedure we developed in our previous work to derive a continuum variational model for a hexagonal twisted bilayer material in w…
A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Two-Dimensional Lattices
Malena I. Español, Dmitry Golovaty, J. Patrick Wilber
In this paper we propose a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The two lattices have sli…
A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Chains
Malena Español, Dmitry Golovaty, J. Patrick Wilber
In this paper we use a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains repr…
Numerical analysis of the vertex models for simulating grain boundary networks
Claudio Torres, Maria Emelianenko, Dmitry Golovaty +2
Polycrystalline materials undergoing coarsening can be represented as evolving networks of grain boundaries, whose statistical characteristics determine macroscopic materials prope…
Polygonization of carbon nanotubes
Dmitry Golovaty, Shannon Talbott
We use a multiscale procedure to derive a simple continuum model of multiwalled carbon nanotubes that takes into account both strong covalent bonds within graphene layers and weak…