{"paper":{"title":"A generalization of the Becker model in linear viscoelasticity: Creep, relaxation and internal friction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","math-ph","math.MP"],"primary_cat":"physics.geo-ph","authors_text":"Enrico Masina, Francesco Mainardi, Giorgio Spada","submitted_at":"2017-07-11T17:03:45Z","abstract_excerpt":"We present a new rheological model depending on a real parameter $\\nu \\in [0,1]$ that reduces to the Maxwell body for $\\nu=0$ and to the Becker body for $\\nu=1$. The corresponding creep law is expressed in an integral form in which the exponential function of the Becker model is replaced and generalized by a Mittag-Leffler function of order $\\nu$. Then, the corresponding non-dimensional creep function and its rate are studied as functions of time for different values of $\\nu$ in order to visualize the transition from the classical Maxwell body to the Becker body. Based on the hereditary theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05188","kind":"arxiv","version":6},"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"}