{"paper":{"title":"On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Davit Harutyunyan, Graeme W. Milton, Marc Briane","submitted_at":"2016-06-10T13:03:53Z","abstract_excerpt":"The set $GU_f$ of possible effective elastic tensors of composites built from two materials with elasticity tensors $\\BC_1>0$ and $\\BC_2=0$ comprising the set $U=\\{\\BC_1,\\BC_2\\}$ and mixed in proportions $f$ and $1-f$ is partly characterized. The material with tensor $\\BC_2=0$ corresponds to a material which is void. (For technical reasons $\\BC_2$ is actually taken to be nonzero and we take the limit $\\BC_2\\to 0$). Specifically, recalling that $GU_f$ is completely characterized through minimums of sums of energies, involving a set of applied strains, and complementary energies, involving a set"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03305","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"}