{"paper":{"title":"High contrast homogenisation in nonlinear elasticity under small loads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kirill Cherednichenko, Mikhail Cherdantsev, Stefan Neukamm","submitted_at":"2013-03-06T00:06:47Z","abstract_excerpt":"We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The composites we analyse consist of a perforated matrix material, which we call the \"stiff\" material, and a \"soft\" material that fills the pores. We assume that the pores are of size $0<\\varepsilon\\ll 1$ and are periodically distributed with period $\\varepsilon$. We also assume that the stiffness of the soft material degenerates with rate $\\varepsilon^{2\\gamma},$ $\\gamma>0$, so that the contrast between the two materials becomes infinite as $\\varepsilon\\to 0$. We study the homogenisation limit $\\vare"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1224","kind":"arxiv","version":3},"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"}