{"paper":{"title":"The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized isotropic finite strain plasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP"],"primary_cat":"math-ph","authors_text":"Ionel-Dumitrel Ghiba, Patrizio Neff","submitted_at":"2014-09-26T12:35:27Z","abstract_excerpt":"We investigate an immediate application in finite strain multiplicative plasticity of the family of isotropic volumetric-isochoric decoupled strain energies \\begin{align*} F\\mapsto W_{_{\\rm eH}}(F):=\\hat{W}_{_{\\rm eH}}(U):=\\{\\begin{array}{lll} \\frac{\\mu}{k}\\,e^{k\\,\\|{\\rm dev}_n\\log {U}\\|^2}+\\frac{\\kappa}{{\\text{}}{2\\, {\\hat{k}}}}\\,e^{\\hat{k}\\,[{\\rm tr}(\\log U)]^2}&\\text{if}& {\\rm det}\\, F>0,\\\\ +\\infty &\\text{if} &{\\rm det} F\\leq 0, \\end{array}.\\quad \\end{align*} based on the Hencky-logarithmic (true, natural) strain tensor $\\log U$. Here, $\\mu>0$ is the infinitesimal shear modulus, $\\kappa=\\fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7555","kind":"arxiv","version":2},"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"}