{"paper":{"title":"Uniformly-moving non-singular dislocations with elliptical core shape in anisotropic media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.comp-ph"],"primary_cat":"physics.class-ph","authors_text":"Yves-Patrick Pellegrini","submitted_at":"2018-08-21T18:26:15Z","abstract_excerpt":"To allow for `relativistic'-like core contraction effects, an anisotropic regularization of steadily-moving straight dislocations of arbitrary orientation is introduced, with two scale parameters $a_\\parallel$ and $a_\\perp$ along the direction of motion and transverse to it, respectively. The dislocation core shape is an ellipse. When $a_\\perp/a_\\parallel\\to 0$, the model reduces to the Peierls-Eshelby dislocation, the fields of which are non-differentiable on the slip plane. For finite $a_\\parallel$ and $a_\\perp$, fields are everywhere differentiable. Applying the author's so-called `causal' "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10272","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}