{"id":"https://openalex.org/W2133697565","doi":"https://doi.org/10.1109/emeit.2011.6023652","title":"The crack-tip higher order field of functionally graded circular plates based on Reissner's plate theory","display_name":"The crack-tip higher order field of functionally graded circular plates based on Reissner's plate theory","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2133697565","doi":"https://doi.org/10.1109/emeit.2011.6023652","mag":"2133697565"},"language":"en","primary_location":{"id":"doi:10.1109/emeit.2011.6023652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/emeit.2011.6023652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100847395","display_name":"Yao Dai","orcid":"https://orcid.org/0000-0002-4638-0235"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Dai","raw_affiliation_strings":["Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100339317","display_name":"Junfeng Liu","orcid":"https://orcid.org/0000-0002-7089-2388"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junfeng Liu","raw_affiliation_strings":["Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044958587","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0002-4443-1123"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100622907","display_name":"Shimin Li","orcid":"https://orcid.org/0000-0001-7562-4852"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shimin Li","raw_affiliation_strings":["Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Academy of Armored Force Engineering, Beijing 100072, China","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"2695","last_page":"2698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9998000264167786,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","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/T10219","display_name":"Mechanical Behavior of Composites","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.832934558391571},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.6352155804634094},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5217772126197815},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.46047770977020264},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.41911035776138306},{"id":"https://openalex.org/keywords/fracture","display_name":"Fracture (geology)","score":0.4127083718776703},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3946424126625061},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33251017332077026},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.32928746938705444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19801795482635498},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16357743740081787},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0791907012462616},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.041942745447158813}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.832934558391571},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6352155804634094},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5217772126197815},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.46047770977020264},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.41911035776138306},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.4127083718776703},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3946424126625061},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33251017332077026},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.32928746938705444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19801795482635498},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16357743740081787},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0791907012462616},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.041942745447158813},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/emeit.2011.6023652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/emeit.2011.6023652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2006150277","https://openalex.org/W2011056092","https://openalex.org/W2028778857","https://openalex.org/W2070364623","https://openalex.org/W2325919846"],"related_works":["https://openalex.org/W1598955744","https://openalex.org/W1919101720","https://openalex.org/W4285167822","https://openalex.org/W2951710344","https://openalex.org/W2204136089","https://openalex.org/W4390822878","https://openalex.org/W2144602163","https://openalex.org/W4384111961","https://openalex.org/W96888382","https://openalex.org/W2127985649"],"abstract_inverted_index":{"For":[0],"homogeneous":[1,65],"material":[2,5,69],"and":[3,58],"non-homogeneous":[4,68],"plates,":[6],"the":[7,15,23,29,36,51,60,63],"crack-tip":[8,37,54],"field":[9,38,55],"plays":[10],"an":[11],"important":[12],"role":[13],"in":[14],"research":[16],"of":[17,39,42,62],"fracture":[18],"mechanics.":[19],"In":[20],"this":[21],"paper,":[22],"governing":[24],"equations":[25],"are":[26],"derived.":[27],"Then,":[28],"series":[30],"expansion":[31],"is":[32,56,71],"applied":[33],"to":[34],"find":[35],"circular":[40],"plates":[41],"functionally":[43],"graded":[44],"materials":[45],"(FGMs)":[46],"with":[47],"Reissner's":[48],"effect.":[49],"Finally,":[50],"higher":[52],"order":[53],"obtained":[57],"becomes":[59],"solution":[61],"corresponding":[64],"plate":[66],"as":[67],"parameter":[70],"degenerated,":[72],"i.e.":[73],"\u03b2\u21920.":[74]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}