Calculus of Variations and Geometric Measure Theory

S. Conti - A. Garroni - R. Marziani

Line-tension limits for line singularities and application to the mixed-growth case

created by marziani on 04 Jul 2022



Inserted: 4 jul 2022
Last Updated: 4 jul 2022

Pages: 65
Year: 2022


We study variational models for dislocations in three dimensions in the line-tension scaling. We present a unified approach which allows to treat energies with subquadratic growth at infinity and other regularizations of the singularity near the dislocation lines. We show that the asymptotics via Gamma convergence is independent of the specific choice of the energy and of the regularization procedure.