Progress in modeling and analysis for nanomagnetism and related topics

Variational analysis for the nonlinear elastic energy induced by edge dislocations: the dilute regime.

16 Oct 2025, 12:15

45m

Aula Dini (Palazzo del Castelletto)

Speaker

Lucia De Luca (IAC-CNR, Roma)

Description

We introduce nonlinear semi-discrete and discrete models for the elastic energy induced by a finite system of edge dislocations in two dimensions.
We analyze the asymptotic behavior of the nonlinear elastic energy, as the lattice spacing (in the purely discrete model) and the core-radius (in the semi-discrete framework) vanish. We work within the dilute regime, corresponding to a finite number of effective singularities.
Joint work with R. Alicandro, G. Lazzaroni, M. Palombaro, M. Ponsiglione.