SISSA Preprints

Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours

Show simple item record

dc.contributor.author Alicandro, Roberto
dc.contributor.author Lazzaroni, Giuliano
dc.contributor.author Palombaro, Mariapia
dc.date.accessioned 2017-01-16T12:47:22Z
dc.date.available 2017-01-16T12:47:22Z
dc.date.issued 2017-01
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35269
dc.description.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. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;58/2016/MATE
dc.subject Nonlinear elasticity en_US
dc.subject Discrete to continuum en_US
dc.subject Geometric rigidity en_US
dc.subject Next-to-nearest neighbours en_US
dc.subject Gamma-convergence en_US
dc.subject Dimension reduction en_US
dc.subject Heterostructures en_US
dc.subject Dislocations en_US
dc.title Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account