106 citations · 291 across the 16 of their papers we have counts for
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math.NA2012★ 3 cited
On atomistic-to-continuum couplings without ghost forces in three dimensions
Charalambos Makridakis, Dimitrios Mitsoudis, Phoebus Rosakis
In this paper we construct energy based numerical methods free of ghost forces in three dimensional lattices arising in crystalline materials. The analysis hinges on establishing a…
math.DS2012★ 8 cited
New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain
Phoebus Rosakis, Anna Vainchtein
We construct new traveling wave solutions of moving kink type for a modified, driven, dynamic Frenkel-Kontorova model, representing dislocation motion under stress. Formal solution…
math-ph2012★ 10 cited
Continuum Surface Energy from a Lattice Model
Phoebus Rosakis
We investigate connections between the continuum and atomistic descriptions of deformable crystals, using certain interesting results from number theory. The energy of a deformed c…