Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires

@inproceedings{Lazzaroni2015RigidityOT,
  title={Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires},
  author={Giuliano Lazzaroni and Mariapia Palombaro and Anja Schl{\"o}merkemper},
  year={2015}
}
In the context of nanowire heterostructures we perform a discrete to continuum limit of the corresponding free energy by means of Γ-convergence techniques. Nearest neighbours are identified by employing the notions of Voronoi diagrams and Delaunay triangulations. The scaling of the nanowire is done in such a way that we perform not only a continuum limit but a dimension reduction simultaneously. The main part of the proof is a discrete geometric rigidity result that we announced in an earlier… CONTINUE READING