{"id":"W3121235954","doi":"10.5267/j.esm.2022.6.003","title":"Consistent polynomial expansions of the stored energy function for incompressible hyperelastic materials","year":2022,"lang":"en","type":"article","venue":"Engineering Solid Mechanics","topic":"Elasticity and Material Modeling","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Hyperelastic material; Polynomial; Function (biology); Compressibility; Polynomial and rational function modeling; Deformation (meteorology); Multiplicative function; Applied mathematics; Mathematics; Mathematical analysis; Materials science; Mechanics; Thermodynamics; Physics; Finite element method; Composite material","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000122952,0.0001437666,0.0002212811,0.00007691327,0.0001530109,0.0000158608,0.0001755492,0.00005552792,0.0000510186],"category_scores_gemma":[0.00004005286,0.0001376191,0.00008143658,0.0001076395,0.000005588575,0.00005717859,0.000130253,0.0001010866,7.035591e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008796828,"about_ca_system_score_gemma":0.00002798689,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001307948,"about_ca_topic_score_gemma":0.000002589781,"domain_scores_codex":[0.9991928,0.00002033639,0.0002922356,0.000125018,0.0001451959,0.0002244607],"domain_scores_gemma":[0.9996049,0.00007129398,0.00004941912,0.00020507,0.00002875999,0.00004053737],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001807141,0.000009102933,8.170338e-8,0.00005370056,0.0000261382,1.770748e-7,0.0000407704,0.5452557,0.4486413,0.005808538,0.000106645,0.00003985453],"study_design_scores_gemma":[0.0004299034,0.0000960602,0.00000511857,0.00004639769,0.00007487179,0.000008338191,0.00006243929,0.7095194,0.2833314,0.0003683851,0.005870101,0.0001876555],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2739497,0.0001793403,0.7162855,0.0000165502,0.008849885,0.0002423044,0.0001955029,0.0002607289,0.00002050832],"genre_scores_gemma":[0.9985256,0.000009969752,0.0009823455,0.00002080931,0.0001555587,0.0001962257,0.00001819817,0.00005544127,0.00003591851],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7245759,"threshold_uncertainty_score":0.5611944,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008218529739559133,"score_gpt":0.1757207423419699,"score_spread":0.1675022126024107,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}