{"paper":{"title":"Homogenization of weakly coercive integral functionals in three-dimensional elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"math.AP","authors_text":"Antonio Pallares-Mart\\'in (EDAN US), Marc Briane (IRMAR)","submitted_at":"2016-09-15T13:29:45Z","abstract_excerpt":"This paper deals with the homogenization through $\\Gamma$-convergence of weakly coercive integral energies with the oscillating density $\\mathbb{L}(x/\\epsilon)\\nabla v : \\nabla v$ in three-dimensional elasticity. The energies are weakly coercive in the sense where the classical functional coercivity satisfied by the periodic tensor L (using smooth test functions v with compact support in $\\mathbb{R}^3$) which reads as $\\Lambda(\\mathbb{L}) >0$, is replaced by the relaxed condition $\\Lambda(\\mathbb{L}) \\ge 0$. Surprisingly, we prove that contrary to the two-dimensional case of [2] which seems a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04631","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"}