{"id":"https://openalex.org/W3121448564","doi":"https://doi.org/10.1016/j.amc.2021.125986","title":"A high-precision curvature constrained Bernoulli\u2013Euler planar beam element for geometrically nonlinear analysis","display_name":"A high-precision curvature constrained Bernoulli\u2013Euler planar beam element for geometrically nonlinear analysis","publication_year":2021,"publication_date":"2021-01-25","ids":{"openalex":"https://openalex.org/W3121448564","doi":"https://doi.org/10.1016/j.amc.2021.125986","mag":"3121448564"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2021.125986","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2021.125986","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5100364108","display_name":"Peng Zhang","orcid":"https://orcid.org/0000-0002-2584-0095"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Zhang","raw_affiliation_strings":["Department of aeronautics and astronautics, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of aeronautics and astronautics, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I9842412","https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101910790","display_name":"Jianmin Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianmin Ma","raw_affiliation_strings":["Department of aeronautics and astronautics, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of aeronautics and astronautics, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I9842412","https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023941711","display_name":"Menglan Duan","orcid":"https://orcid.org/0000-0001-5656-7725"},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Menglan Duan","raw_affiliation_strings":["College of Safety and Ocean Engineering, China University of Petroleum, Beijing, China","Department of aeronautics and astronautics, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"College of Safety and Ocean Engineering, China University of Petroleum, Beijing, China","institution_ids":["https://openalex.org/I204553293"]},{"raw_affiliation_string":"Department of aeronautics and astronautics, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I9842412","https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016633174","display_name":"Ye Yuan","orcid":"https://orcid.org/0000-0002-7568-0130"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Yuan","raw_affiliation_strings":["Department of aeronautics and astronautics, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of aeronautics and astronautics, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I9842412","https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050791552","display_name":"Jinjia Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinjia Wang","raw_affiliation_strings":["College of Safety and Ocean Engineering, China University of Petroleum, Beijing, China"],"affiliations":[{"raw_affiliation_string":"College of Safety and Ocean Engineering, China University of Petroleum, Beijing, China","institution_ids":["https://openalex.org/I204553293"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100364108"],"corresponding_institution_ids":["https://openalex.org/I24943067","https://openalex.org/I9842412"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.0794,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86488595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"397","issue":null,"first_page":"125986","last_page":"125986"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10842","display_name":"Railway Engineering and Dynamics","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/curvature","display_name":"Curvature","score":0.6073043346405029},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5247673988342285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5193532705307007},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4700523614883423},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44031062722206116},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.41691166162490845},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3992762565612793},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2207995355129242},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.12930774688720703}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6073043346405029},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5247673988342285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5193532705307007},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4700523614883423},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44031062722206116},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.41691166162490845},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3992762565612793},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2207995355129242},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.12930774688720703},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.amc.2021.125986","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2021.125986","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:apmaco:v:397:y:2021:i:c:s0096300321000345","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0096300321000345","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1586369843","https://openalex.org/W1602870641","https://openalex.org/W1607197070","https://openalex.org/W1965261760","https://openalex.org/W1970831213","https://openalex.org/W1976113414","https://openalex.org/W1979710921","https://openalex.org/W1982904228","https://openalex.org/W1984713077","https://openalex.org/W1985184123","https://openalex.org/W1988470487","https://openalex.org/W1992032750","https://openalex.org/W1992944730","https://openalex.org/W1999360982","https://openalex.org/W2002978739","https://openalex.org/W2004817567","https://openalex.org/W2006144014","https://openalex.org/W2007176679","https://openalex.org/W2010594173","https://openalex.org/W2010956408","https://openalex.org/W2018188047","https://openalex.org/W2019014516","https://openalex.org/W2023668954","https://openalex.org/W2033360671","https://openalex.org/W2035114270","https://openalex.org/W2040442509","https://openalex.org/W2041598805","https://openalex.org/W2043042987","https://openalex.org/W2054589260","https://openalex.org/W2055305691","https://openalex.org/W2062328830","https://openalex.org/W2080282883","https://openalex.org/W2082641125","https://openalex.org/W2092601587","https://openalex.org/W2093750266","https://openalex.org/W2125883408","https://openalex.org/W2134035363","https://openalex.org/W2142599271","https://openalex.org/W2146935528","https://openalex.org/W2151002130","https://openalex.org/W2255928085","https://openalex.org/W2302920908","https://openalex.org/W2324833453","https://openalex.org/W2511192953","https://openalex.org/W2760843581","https://openalex.org/W2791174072","https://openalex.org/W2791276885","https://openalex.org/W2884244424","https://openalex.org/W2897385738","https://openalex.org/W2903865431","https://openalex.org/W2910140675","https://openalex.org/W2950473286","https://openalex.org/W2951522978","https://openalex.org/W2962541931","https://openalex.org/W2995711687","https://openalex.org/W3121620833","https://openalex.org/W3185957688","https://openalex.org/W4285719527","https://openalex.org/W6648392604","https://openalex.org/W6671340196"],"related_works":["https://openalex.org/W55883722","https://openalex.org/W2394379345","https://openalex.org/W2079726820","https://openalex.org/W3215763795","https://openalex.org/W4288816678","https://openalex.org/W2055836843","https://openalex.org/W2118352149","https://openalex.org/W2380616566","https://openalex.org/W2755775996","https://openalex.org/W1995601874"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
