SISSA Open Science

Browsing by Subject "Discrete to continuum"

Browsing by Subject "Discrete to continuum"

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  • Alicandro, Roberto; Lazzaroni, Giuliano; Palombaro, Mariapia (2017-01)
    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 ...
  • Alicandro, Roberto; Dal Maso, Gianni; Lazzaroni, Giuliano; Palombaro, Mariapia (2017-06)
    Linear elasticity can be rigorously derived from finite elasticity under the assumption of small loadings in terms of Gamma-convergence. This was first done in the case of one-well energies with super-quadratic growth and ...
  • Alicandro, Roberto; Lazzaroni, Giuliano; Palombaro, Mariapia (2017-01)
    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 ...
  • Lazzaroni, Giuliano; Palombaro, Mariapia; Schlomerkemper, Anja (SISSA, 2015-01)
    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 ...

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