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On the effect of interactions beyond nearest neighbours on non-convex lattice systems

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dc.contributor.author Alicandro, Roberto
dc.contributor.author Lazzaroni, Giuliano
dc.contributor.author Palombaro, Mariapia
dc.date.accessioned 2017-01-16T12:38:57Z
dc.date.available 2017-01-16T12:38:57Z
dc.date.issued 2017-01
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35268
dc.description.abstract We analyse the rigidity of non-convex discrete energies where at least nearest and next-to-nearest neighbour interactions are taken into account. Our purpose is to show that interactions beyond nearest neighbours have the role of penalising changes of orientation and, to some extent, they may replace the positive-determinant constraint that is usually required when only nearest neighbours are accounted for. In a discrete to continuum setting, we prove a compactness result for a family of surface-scaled energies and we give bounds on its possible Gamma-limit in terms of interfacial energies that penalise changes of orientation. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;57/2016/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.title On the effect of interactions beyond nearest neighbours on non-convex lattice systems en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US


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