{"id":"https://openalex.org/W2167160497","doi":"https://doi.org/10.1137/s0036139903424229","title":"Bounds and Extremal Configurations for the Torsional Rigidity of Coated Fiber Reinforced Shafts","display_name":"Bounds and Extremal Configurations for the Torsional Rigidity of Coated Fiber Reinforced Shafts","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2167160497","doi":"https://doi.org/10.1137/s0036139903424229","mag":"2167160497"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139903424229","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903424229","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5040697039","display_name":"Robert Lipton","orcid":"https://orcid.org/0000-0002-1382-3204"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Lipton","raw_affiliation_strings":["Louisiana State University"],"affiliations":[{"raw_affiliation_string":"Louisiana State University","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001910429","display_name":"Tungyang Chen","orcid":"https://orcid.org/0000-0003-2336-6198"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tungyang Chen","raw_affiliation_strings":["Department of Civil Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040697039"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":1.3042,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8199533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"65","issue":"1","first_page":"299","last_page":"315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9993000030517578,"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/T10219","display_name":"Mechanical Behavior of Composites","score":0.9990000128746033,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.756233274936676},{"id":"https://openalex.org/keywords/antiplane-shear","display_name":"Antiplane shear","score":0.6709305047988892},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.6205001473426819},{"id":"https://openalex.org/keywords/reinforcement","display_name":"Reinforcement","score":0.5558491945266724},{"id":"https://openalex.org/keywords/shear-modulus","display_name":"Shear modulus","score":0.5524250864982605},{"id":"https://openalex.org/keywords/fiber","display_name":"Fiber","score":0.527258038520813},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4840037524700165},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.4751838743686676},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.46178868412971497},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.45745527744293213},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3801760673522949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24935391545295715},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07111304998397827}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.756233274936676},{"id":"https://openalex.org/C2778037387","wikidata":"https://www.wikidata.org/wiki/Q4067088","display_name":"Antiplane shear","level":4,"score":0.6709305047988892},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.6205001473426819},{"id":"https://openalex.org/C67203356","wikidata":"https://www.wikidata.org/wiki/Q1321905","display_name":"Reinforcement","level":2,"score":0.5558491945266724},{"id":"https://openalex.org/C41279357","wikidata":"https://www.wikidata.org/wiki/Q461466","display_name":"Shear modulus","level":2,"score":0.5524250864982605},{"id":"https://openalex.org/C519885992","wikidata":"https://www.wikidata.org/wiki/Q161","display_name":"Fiber","level":2,"score":0.527258038520813},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4840037524700165},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.4751838743686676},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.46178868412971497},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.45745527744293213},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3801760673522949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24935391545295715},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07111304998397827},{"id":"https://openalex.org/C54303661","wikidata":"https://www.wikidata.org/wiki/Q1754376","display_name":"Stress intensity factor","level":3,"score":0.0},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s0036139903424229","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903424229","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.lsu.edu:mathematics_pubs-1747","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/mathematics_pubs/748","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.483.6728","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.6728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.math.lsu.edu/~lipton/liptonchen.pdf","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1747","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/748","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.699999988079071,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1550621289","https://openalex.org/W1641896143","https://openalex.org/W1985238907","https://openalex.org/W2014065324","https://openalex.org/W2065556316","https://openalex.org/W2171840100","https://openalex.org/W2321920502","https://openalex.org/W2562800485","https://openalex.org/W2564087643"],"related_works":["https://openalex.org/W2014648694","https://openalex.org/W2094193434","https://openalex.org/W3024354601","https://openalex.org/W3148860196","https://openalex.org/W2086636733","https://openalex.org/W2032164205","https://openalex.org/W2094448377","https://openalex.org/W2315880678","https://openalex.org/W2003290541","https://openalex.org/W2051237646"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"derive":[4],"bounds":[5,16],"on":[6,32,96],"the":[7,21,44,61,97,113],"torsional":[8,50,103],"rigidity":[9,51,104],"for":[10],"coated":[11,33,54,75,90,107,122],"fiber":[12,26,34,55,108,123],"reinforced":[13,85,116],"shafts.":[14],"The":[15],"are":[17,56,92,109],"used":[18,57],"to":[19,58],"assess":[20],"optimality":[22],"or":[23,66,127],"suboptimality":[24],"of":[25,52,69,82,89,105],"reinforcement":[27,64],"configurations.":[28],"This":[29],"investigation":[30],"focuses":[31],"reinforcements":[35],"with":[36,86,117],"circular":[37,114,121],"cross":[38,80],"section.":[39],"It":[40],"is":[41,124],"shown":[42],"how":[43],"effective":[45,98],"antiplane":[46,99],"shear":[47,100],"modulus":[48,101],"and":[49,102],"each":[53,106],"determine":[59],"whether":[60],"configuration":[62,88],"provides":[63],"above":[65],"below":[67],"that":[68],"a":[70,118],"homogeneous":[71],"shaft":[72,79,115],"containing":[73],"no":[74],"fibers.":[76],"Simply":[77],"connected":[78],"sections":[81],"arbitrary":[83],"shape":[84],"any":[87],"fibers":[91],"considered.":[93],"Precise":[94],"conditions":[95],"given":[110],"under":[111],"which":[112],"single":[119],"centered":[120],"either":[125],"optimal":[126],"suboptimal.":[128]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
