Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours
Loading...
Date
2017-01
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We study continuum limits of discrete models for (possibly heterogeneous)
nanowires. The lattice energy includes at least nearest and next-to-nearest neighbour
interactions: the latter have the role of penalising changes of orientation. In the heterogeneous case, we obtain an estimate on the minimal energy spent to match different equilibria. This gives insight into the nucleation of dislocations in epitaxially grown
heterostructured nanowires.
Description
Keywords
Nonlinear elasticity, Discrete to continuum, Geometric rigidity, Next-to-nearest neighbours, Gamma-convergence, Dimension reduction, Heterostructures, Dislocations