{"paper":{"title":"Thin elastic plates supported over small areas. II. Variational-asymptotic models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"G. Buttazzo, G. Cardone, S.A. Nazarov","submitted_at":"2016-01-19T13:20:36Z","abstract_excerpt":"An asymptotic analysis is performed for thin anisotropic elastic plate clamped along its lateral side and also supported at a small area $\\theta_{h}$ of one base with diameter of the same order as the plate thickness $h\\ll1.$ A three-dimensional boundary layer in the vicinity of the support $\\theta_{h}$ is involved into the asymptotic form which is justified by means of the previously derived weighted inequality of Korn's type provides an error estimate with the bound $ ch^{1/2} \\left | \\ln h\\right| .$ Ignoring this boundary layer effect reduces the precision order down to $\\left| \\ln h\\right|"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04912","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"}