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A discrete to continuum analysis of dislocations in nanowire heterostructures
journal contribution
posted on 2023-06-08, 18:01 authored by Giuliano Lazzaroni, Mariapia Palombaro, Anja SchlömerkemperEpitaxially grown heterogeneous nanowires present dislocations at the interface between the phases if their radius is big. We consider a corresponding variational discrete model with quadratic pairwise atomic interaction energy. By employing the notion of Gamma-convergence and a geometric rigidity estimate, we perform a discrete to continuum limit and a dimension reduction to a one-dimensional system. Moreover, we compare a defect-free model and models with dislocations at the interface and show that the latter are energetically convenient if the thickness of the wire is sufficiently large.
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- Published
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- Published version
Journal
Communications in Mathematical SciencesISSN
1539-6746Publisher
International PressIssue
5Volume
13Page range
1105-1133Department affiliated with
- Mathematics Publications
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- No
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- Yes
Legacy Posted Date
2014-08-05First Compliant Deposit (FCD) Date
2014-08-05Usage metrics
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