Line-tension limits for line singularities and application to the mixed-growth case
Sergio Conti, Adriana Garroni, Roberta Marziani · Calculus of Variations and Partial Differential Equations · 2023
Abstract 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.