{"paper":{"title":"Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Davit Harutyunyan, Graeme W. Milton, Marc Briane","submitted_at":"2016-06-12T14:58:15Z","abstract_excerpt":"The set $GU_f$ of possible effective elastic tensors of composites built from two materials with positive definite elasticity tensors $\\BC_1$ and $\\BC_2=\\Gd\\BC_0$ comprising the set $U=\\{\\BC_1,\\Gd\\BC_0\\}$ and mixed in proportions $f$ and $1-f$ is partly characterized in the limit $\\Gd\\to\\infty$. The material with tensor $\\BC_2$ corresponds to a material which (for technical reasons) is almost rigid in the limit $\\Gd\\to \\infty$. The paper, and the underlying microgeometries, have many aspects in common with the companion paper \"On the possible effective elasticity tensors of 2-dimensional print"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03722","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"}