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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorAlicandro, Roberto
dc.contributor.authorLazzaroni, Giuliano
dc.contributor.authorPalombaro, Mariapia
dc.date.accessioned2017-01-16T12:47:22Z
dc.date.available2017-01-16T12:47:22Z
dc.date.issued2017-01
dc.description.abstractWe 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.identifier.urihttps://openscience.sissa.it/handle/1963/35269
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriesSISSA;58/2016/MATE
dc.subjectNonlinear elasticityen_US
dc.subjectDiscrete to continuumen_US
dc.subjectGeometric rigidityen_US
dc.subjectNext-to-nearest neighboursen_US
dc.subjectGamma-convergenceen_US
dc.subjectDimension reductionen_US
dc.subjectHeterostructuresen_US
dc.subjectDislocationsen_US
dc.titleDerivation of a rod theory from lattice systems with interactions beyond nearest neighboursen_US
dc.typePreprinten_US
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