University of Sussex
Browse
__smbhome.uscs.susx.ac.uk_bw233_Desktop_SRO_SRO - Maria Palombaro_Accepted 10.1007-s00332-017-9366-5.pdf (540.92 kB)

A variational model for dislocations at semi-coherent interfaces

Download (540.92 kB)
journal contribution
posted on 2023-06-09, 06:23 authored by Silvio Fanzon, Mariapia Palombaro, Marcello Ponsiglione
We propose and analyze a simple variational model for dislocations at semi-coherent interfaces. The energy functional describes the competition between two terms: a surface energy induced by dislocations and a bulk elastic energy, spent to decrease the amount of dislocations needed to compensate the lattice misfit. We prove that, for minimizers, the former scales like the surface area of the interface, the latter like its diameter. The proposed continuum model is built on some explicit computations done in the framework of the semi-discrete theory of dislocations. Even if we deal with finite elasticity, linearized elasticity naturally emerges in our analysis since the far-field strain vanishes as the interface size increases.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Nonlinear Science

ISSN

0938-8974

Publisher

Springer Verlag

Issue

5

Volume

27

Page range

1435-1461

Department affiliated with

  • Physics and Astronomy Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-06-01

First Open Access (FOA) Date

2018-02-23

First Compliant Deposit (FCD) Date

2017-06-01

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports