{"id":"W4406170651","doi":"10.1007/s00033-024-02348-y","title":"Rate-independent model of ferroelectric materials: finite element and finite difference solution","year":2025,"lang":"de","type":"article","venue":"Zeitschrift für angewandte Mathematik und Physik","topic":"Composite Material Mechanics","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Alberta Innovates","keywords":"Ferroelectricity; Electric field; Finite element method; Boundary value problem; Hysteresis; Piezoelectricity; Field (mathematics); Materials science; Domain (mathematical analysis); Physics; Condensed matter physics; Mechanics; Mathematical analysis; Mathematics; Thermodynamics; Dielectric; Quantum mechanics; Composite material","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007873669,0.0007449445,0.001206079,0.0007407184,0.0005535919,0.001292533,0.003181627,0.003831637,0.003011929],"category_scores_gemma":[0.002558723,0.000723567,0.0007039073,0.0008032251,0.001664607,0.001756482,0.001208977,0.001908469,0.0006820659],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001021887,"about_ca_system_score_gemma":0.00128357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003840863,"about_ca_topic_score_gemma":0.002975184,"domain_scores_codex":[0.9997063,0.00009649131,0.00001057732,0.00004495187,0.0001068505,0.00003470872],"domain_scores_gemma":[0.9994131,0.0002341398,0.00006520226,0.00007144049,0.0001550993,0.00006099817],"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":[0.00007230493,0.0001450548,0.000324875,0.0001513636,0.00002918087,0.0001475587,0.0001020859,0.7448819,0.007176148,0.2388142,0.001718842,0.006436472],"study_design_scores_gemma":[0.000007891841,0.000004960556,0.00003856602,0.000004495542,0.000002941477,0.00001902664,0.000007949051,0.992775,0.0003149761,0.006237632,0.0005809672,0.00000562065],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04285077,0.001962232,0.9083502,0.001979416,0.0005848118,0.0001622141,0.0002876118,0.0002228524,0.04359994],"genre_scores_gemma":[0.7271978,0.002615335,0.1583897,0.001003297,0.0003741211,0.0005073328,0.0004685544,0.0003696884,0.1090741],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003840863,"threshold_uncertainty_score":0.01007593,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01655542507331371,"score_gpt":0.2573071390778492,"score_spread":0.2407517140045355,"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."}}