J. Wilber

activity

20102025

most citedA Discrete-to-Continuum Model of Weakly Interacting Incommensurate Two-Dimensional Lattices

13 citations · 23 across the 5 of their papers we have counts for

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math-ph2025

On the Hierarchy of Scales in Modeling of Weakly Interacting Chains of Atoms

Dmitry Golovaty, J. Patrick Wilber

In the first part of this paper, we apply a well known discrete-to-continuum approach to a Frenkel-Kontorova-type model of an infinitely long one-dimensional chain of atoms weakly…

math-ph2016

Euler elastica as a $Γ$ -Limit of discrete bending energies of one-dimensional chains of atoms

Malena I. Espanol, Dmitry Golovaty, J. Patrick Wilber

This work is motivated by discrete-to-continuum modeling of the mechanics of a graphene sheet, which is a single-atom thick macromolecule of carbon atoms covalently bonded to form…

On the Hierarchy of Scales in Modeling of Weakly Interacting Chains of Atoms

Euler elastica as a Γ-Limit of discrete bending energies of one-dimensional chains of atoms

Euler elastica as a $Γ$ -Limit of discrete bending energies of one-dimensional chains of atoms