{"paper":{"title":"On the role of micro-inertia in enriched continuum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Angela Madeo, Elias C. Aifantis, Gabriele Barbagallo, Marco Valerio D'Agostino, Patrizio Neff","submitted_at":"2016-07-22T14:54:32Z","abstract_excerpt":"In this paper the role of gradient micro-inertia terms $\\bar{\\eta}\\lVert\\nabla u_{,t}\\rVert^{2}$ and free micro-inertia terms $\\eta\\lVert p_{,t}\\rVert^{2}$ is investigated to unveil their respective effect on the dynamical behavior of band-gap metamaterials. We show that the term $\\bar{\\eta}\\lVert\\nabla u_{,t}\\rVert^{2}$ alone is only able to disclose relatively simplified dispersive behaviors. On the other hand, the term $\\eta\\lVert p_{,t}\\rVert^{2}$ is in charge of the description of the full complex behavior of band-gap metamaterials. A suitable mixing of the two micro-inertia terms allows "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07385","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"}