{"paper":{"title":"Study of the cofactor conditions: conditions of supercompatibility between phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","math.MP"],"primary_cat":"math-ph","authors_text":"Richard D. James, Vijay Srivastava, Vivekanand Dabade, Xian Chen","submitted_at":"2013-07-23T02:50:05Z","abstract_excerpt":"The cofactor conditions, introduced in James and Zhang, are conditions of compatibility between phases in martensitic materials. They consist of three subconditions: i) the condition that the middle principal stretch of the transformation stretch tensor $\\mathbf U$ is unity ($\\lambda_2 = 1$), ii) the condition $\\mathbf a \\cdot \\mathbf U\\, \\cof (\\mathbf U^2 - \\mathbf I)\\mathbf n = 0$, where the vectors $\\mathbf a$ and $\\mathbf n$ are certain vectors arising in the specification of the twin system, and iii) the inequality ${\\rm tr} \\mathbf U^2 + \\det \\mathbf U^2 -(1/4) |\\mathbf a|^2 |\\mathbf n|^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5930","kind":"arxiv","version":1},"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"}