{"paper":{"title":"A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Boumediene Nedjar, Herbert Baaser, Patrizio Neff, Robert J. Martin","submitted_at":"2017-05-23T15:57:54Z","abstract_excerpt":"We investigate a finite element formulation of the exponentiated Hencky-logarithmic model whose strain energy function is given by \\[\n  W_\\mathrm{eH}(\\boldsymbol{F}) =\n  \\dfrac{\\mu}{k}\\, e^{\\displaystyle k \\left\\lVert\\mbox{dev}_n \\log\\boldsymbol{U}\\right\\rVert^2}\n  + \\dfrac{\\kappa}{2 \\hat{k}}\\, e^{\\displaystyle \\hat{k} [\\mbox{tr} (\\log\\boldsymbol{U})]^2 }\\,, \\] where $\\mu>0$ is the (infinitesimal) shear modulus, $\\kappa>0$ is the (infinitesimal) bulk modulus, $k$ and $\\hat{k}$ are additional dimensionless material parameters, $\\boldsymbol{U}=\\sqrt{\\boldsymbol{F}^T\\boldsymbol{F}}$ and $\\boldsym"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08381","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"}