{"id":"https://openalex.org/W2081866364","doi":"https://doi.org/10.1137/s0036142900380066","title":"Reliable Solution of a Perfect Plastic Problem with Uncertain Stress-Strain Law and Yield Function","display_name":"Reliable Solution of a Perfect Plastic Problem with Uncertain Stress-Strain Law and Yield Function","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2081866364","doi":"https://doi.org/10.1137/s0036142900380066","mag":"2081866364"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142900380066","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900380066","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070194200","display_name":"Ivan Hlav\u00e1\u010dek","orcid":"https://orcid.org/0000-0001-5908-4980"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ivan Hlav\u00e1cek","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070194200"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8849,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.9183636,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"39","issue":"5","first_page":"1539","last_page":"1555"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8059998750686646},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6270753741264343},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.589647114276886},{"id":"https://openalex.org/keywords/yield","display_name":"Yield (engineering)","score":0.5744271874427795},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5698148012161255},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5245214700698853},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4756055474281311},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4605078101158142},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.4352720081806183},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.4164888262748718},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38224345445632935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08089035749435425},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.06783992052078247}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8059998750686646},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6270753741264343},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.589647114276886},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.5744271874427795},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5698148012161255},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5245214700698853},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4756055474281311},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4605078101158142},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.4352720081806183},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.4164888262748718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38224345445632935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08089035749435425},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.06783992052078247},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142900380066","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900380066","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W624519835","https://openalex.org/W636408241","https://openalex.org/W1518297095","https://openalex.org/W1996034742","https://openalex.org/W2011653136","https://openalex.org/W2038254351","https://openalex.org/W2061175874","https://openalex.org/W2755176229"],"related_works":["https://openalex.org/W2082984609","https://openalex.org/W4385150657","https://openalex.org/W2374609629","https://openalex.org/W2590396971","https://openalex.org/W4233523705","https://openalex.org/W2155528228","https://openalex.org/W1585007175","https://openalex.org/W2922512902","https://openalex.org/W2005186544","https://openalex.org/W1986058458"],"abstract_inverted_index":{"Coefficients":[0],"of":[1,60],"both":[2],"the":[3,7,11,41,52],"stress-strain":[4],"relations":[5],"and":[6,26,36],"yield":[8],"function":[9],"in":[10,23,29,56],"Prandtl--Reuss":[12],"model":[13],"are":[14,48,67],"considered":[15],"to":[16,50],"be":[17],"uncertain.":[18],"Using":[19],"simple":[20],"finite":[21],"elements":[22],"$\\mathbb":[24],"R^3$":[25],"backward":[27],"differences":[28],"time,":[30],"an":[31],"approximate":[32],"solution":[33],"is":[34],"defined":[35],"its":[37],"continuous":[38],"dependence":[39],"on":[40],"uncertain":[42],"data":[43,55],"investigated.":[44],"Three":[45],"different":[46],"criteria":[47],"chosen":[49],"find":[51],"worst":[53],"possible":[54],"a":[57],"given":[58],"set":[59],"admissible":[61],"input":[62],"data.":[63],"Some":[64],"convergence":[65],"results":[66],"proven.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}