{"id":"W163260911","doi":"10.1023/a:1004709622104","title":"Application of variational principles to the axial extension of a circular cylindical nonlinearly elastic membrane","year":2000,"lang":"en","type":"article","venue":"Journal of Engineering Mathematics","topic":"Elasticity and Material Modeling","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta","keywords":"Axial symmetry; Isotropy; Cylinder; Mathematics; Mathematical analysis; Boundary value problem; Mechanical energy; Strain energy; Compressibility; Deformation (meteorology); Constant (computer programming); Function (biology); Penalty method; Energy (signal processing); Geometry; Mechanics; Physics; Finite element method; Mathematical optimization; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003615725,0.0001046308,0.0002727762,0.0001064646,0.0000176373,0.00001105813,0.0001775904,0.00004744618,0.00003148804],"category_scores_gemma":[0.0001978113,0.00008018342,0.00008168698,0.0001441304,0.0000132998,0.00006765134,0.00001463792,0.0001405107,0.000006230221],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002592447,"about_ca_system_score_gemma":0.00002298278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001495982,"about_ca_topic_score_gemma":3.663129e-7,"domain_scores_codex":[0.9988384,0.000007878793,0.0006800306,0.00005340306,0.0003073393,0.0001129063],"domain_scores_gemma":[0.9993693,0.0001644588,0.0001353559,0.0001444448,0.0001267825,0.00005968562],"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":[0.00001129709,0.00004867251,0.000002109724,0.0003362363,0.00004426528,0.000002068463,0.000331334,0.8809245,0.1166438,0.001332752,0.000003161608,0.0003198122],"study_design_scores_gemma":[0.0002011636,0.00006429372,0.0003040273,0.0002612742,0.00006679543,0.00009640572,0.00001452859,0.9885224,0.00983668,0.0001969865,0.0003537628,0.000081663],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4536264,0.00003692673,0.5460724,0.0000241311,0.0001157803,0.00007511425,0.000005567924,0.00001474425,0.00002901506],"genre_scores_gemma":[0.9097146,0.000031975,0.0900199,0.000004526873,0.0001983101,0.000002916235,0.00000141953,0.00002204333,0.000004310925],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4560882,"threshold_uncertainty_score":0.3269785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01113689863550309,"score_gpt":0.2056864781039769,"score_spread":0.1945495794684738,"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."}}