{"id":"https://openalex.org/W2139424298","doi":"https://doi.org/10.1142/s0218127405012387","title":"STRAIGHTFORWARD COMPUTATION OF SPATIAL EQUILIBRIA OF GEOMETRICALLY EXACT COSSERAT RODS","display_name":"STRAIGHTFORWARD COMPUTATION OF SPATIAL EQUILIBRIA OF GEOMETRICALLY EXACT COSSERAT RODS","publication_year":2005,"publication_date":"2005-03-01","ids":{"openalex":"https://openalex.org/W2139424298","doi":"https://doi.org/10.1142/s0218127405012387","mag":"2139424298"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012387","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012387","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5004365482","display_name":"Timothy J. Healey","orcid":"https://orcid.org/0000-0002-2973-6789"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. J. HEALEY","raw_affiliation_strings":["Theoretical & Applied Mechanics and Center for Applied Mathematics, Cornell University, Ithaca, NY 14850, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical & Applied Mechanics and Center for Applied Mathematics, Cornell University, Ithaca, NY 14850, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081314418","display_name":"Prashant G. Mehta","orcid":"https://orcid.org/0000-0003-1265-7942"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]},{"id":"https://openalex.org/I4210159603","display_name":"United Technologies Research Center","ror":"https://ror.org/04vxc1c96","country_code":"IE","type":"company","lineage":["https://openalex.org/I4210159603"]}],"countries":["IE","US"],"is_corresponding":false,"raw_author_name":"P. G. MEHTA","raw_affiliation_strings":["Center for Applied Mathematics, Cornell University, Ithaca, NY 14850, USA","Current address: United Technologies Research Center, 411 Silver Lane, East Hartford, CT 06018, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics, Cornell University, Ithaca, NY 14850, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Current address: United Technologies Research Center, 411 Silver Lane, East Hartford, CT 06018, USA","institution_ids":["https://openalex.org/I4210159603"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8591,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.93249035,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"03","first_page":"949","last_page":"965"},"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":0.9943000078201294,"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":0.9943000078201294,"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/T11870","display_name":"Structural Analysis and Optimization","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.9822999835014343,"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/computation","display_name":"Computation","score":0.8364444971084595},{"id":"https://openalex.org/keywords/rod","display_name":"Rod","score":0.6975710988044739},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5562703609466553},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5395400524139404},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4784964621067047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44919562339782715},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.42623087763786316},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4074305593967438},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3753090798854828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3739950656890869},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3475170135498047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3137695789337158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.184104323387146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17234507203102112}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.8364444971084595},{"id":"https://openalex.org/C162184086","wikidata":"https://www.wikidata.org/wiki/Q505544","display_name":"Rod","level":3,"score":0.6975710988044739},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5562703609466553},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5395400524139404},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4784964621067047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44919562339782715},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.42623087763786316},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4074305593967438},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3753090798854828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3739950656890869},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3475170135498047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3137695789337158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.184104323387146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17234507203102112},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127405012387","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012387","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6100000143051147}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1506032630","https://openalex.org/W1575238425","https://openalex.org/W1597140679","https://openalex.org/W1979710921","https://openalex.org/W1992320706","https://openalex.org/W2075513883","https://openalex.org/W2076273493","https://openalex.org/W2145741013","https://openalex.org/W2163207323","https://openalex.org/W2168247061","https://openalex.org/W4241846002","https://openalex.org/W4250187135","https://openalex.org/W4292993127","https://openalex.org/W4403689548"],"related_works":["https://openalex.org/W4316464801","https://openalex.org/W2205893534","https://openalex.org/W3162917587","https://openalex.org/W2183638083","https://openalex.org/W2119138398","https://openalex.org/W2037384153","https://openalex.org/W2598979711","https://openalex.org/W2306351532","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5],"well":[6],"posed":[7],"\"force\"":[8],"based":[9],"formulation":[10],"for":[11],"nonlinearly":[12],"elastic":[13],"Cosserat":[14],"rods":[15],"with":[16],"general":[17],"boundary":[18],"conditions":[19],"enabling":[20],"straightforward,":[21],"efficient":[22],"computation":[23],"of":[24,33],"spatial":[25,43],"equilibria.":[26],"We":[27],"illustrate":[28],"the":[29,46],"ease":[30],"and":[31],"utility":[32],"our":[34],"approach":[35],"in":[36],"four":[37],"example":[38],"problems,":[39],"each":[40],"exhibiting":[41],"large":[42],"buckling,":[44],"employing":[45],"path-following":[47],"software":[48],"AUTO.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}