Published Paper

Inserted: 4 apr 2020
Last Updated: 24 mar 2022

Journal: SIAM J. Math. Anal.
Volume: 53
Number: 4
Pages: 4252-4302
Year: 2021

Abstract:

In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the amplitude of the Burgers vectors (proportional to the lattice spacing) tends to zero, we show that the elastic energy linearises and the line tension energy density, up to an overall constant rotation, is identified by the linearised cell problem formula given in 17.

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