{"id":"https://openalex.org/W2031175534","doi":"https://doi.org/10.1155/2014/624863","title":"Constitutive Relation of Engineering Material Based on SIR Model and HAM","display_name":"Constitutive Relation of Engineering Material Based on SIR Model and HAM","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2031175534","doi":"https://doi.org/10.1155/2014/624863","mag":"2031175534"},"language":"en","primary_location":{"id":"doi:10.1155/2014/624863","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/624863","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2014/624863","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2014/624863","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074392421","display_name":"Haoxiang He","orcid":"https://orcid.org/0000-0002-9837-8874"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haoxiang He","raw_affiliation_strings":["Beijing Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084521016","display_name":"Enzhen Han","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Enzhen Han","raw_affiliation_strings":["Beijing Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022121257","display_name":"Maolin Cong","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maolin Cong","raw_affiliation_strings":["Beijing Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074392421"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.5316,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.72067012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11874","display_name":"Structural Response to Dynamic Loads","score":0.9905999898910522,"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"}},"topics":[{"id":"https://openalex.org/T11874","display_name":"Structural Response to Dynamic Loads","score":0.9905999898910522,"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/T10161","display_name":"Rock Mechanics and Modeling","score":0.9836000204086304,"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/T10535","display_name":"Landslides and related hazards","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constitutive-equation","display_name":"Constitutive equation","score":0.6712014675140381},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.49240267276763916},{"id":"https://openalex.org/keywords/strain-rate","display_name":"Strain rate","score":0.48415642976760864},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.46089592576026917},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.44754093885421753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4303196370601654},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4257707893848419},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4213583469390869},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4095902144908905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3813658356666565},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35917073488235474},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3510720431804657},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3023311495780945},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.2434672713279724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18385720252990723},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14866772294044495},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1348850131034851},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.07055613398551941}],"concepts":[{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.6712014675140381},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.49240267276763916},{"id":"https://openalex.org/C149342994","wikidata":"https://www.wikidata.org/wiki/Q3181055","display_name":"Strain rate","level":2,"score":0.48415642976760864},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.46089592576026917},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.44754093885421753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4303196370601654},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4257707893848419},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4213583469390869},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4095902144908905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3813658356666565},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35917073488235474},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3510720431804657},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3023311495780945},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2434672713279724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18385720252990723},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14866772294044495},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1348850131034851},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.07055613398551941},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/624863","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/624863","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2014/624863","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1412177664","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1412177664","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:624863","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/624863.xml","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"},{"id":"pmh:oai:doaj.org/article:282b7350c63443d9abeb548bf97eed42","is_oa":false,"landing_page_url":"https://doaj.org/article/282b7350c63443d9abeb548bf97eed42","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/624863","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/624863","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2014/624863","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.8399999737739563,"id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G4760244293","display_name":null,"funder_award_id":"51108009","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G5013699570","display_name":null,"funder_award_id":"20111103120022","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G5263892720","display_name":null,"funder_award_id":"50878010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5328217012","display_name":null,"funder_award_id":"2013TS02","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G591223834","display_name":null,"funder_award_id":"2013TS02","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G6302248887","display_name":null,"funder_award_id":"51108009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7035241656","display_name":null,"funder_award_id":"50878010","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G792576106","display_name":null,"funder_award_id":"20111103120022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031175534.pdf","grobid_xml":"https://content.openalex.org/works/W2031175534.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1481929702","https://openalex.org/W1500155709","https://openalex.org/W1560556759","https://openalex.org/W1964997874","https://openalex.org/W1977344101","https://openalex.org/W1981830172","https://openalex.org/W2013095468","https://openalex.org/W2028558726","https://openalex.org/W2030544926","https://openalex.org/W2034773552","https://openalex.org/W2042447572","https://openalex.org/W2058463483","https://openalex.org/W2071366435","https://openalex.org/W2077520165","https://openalex.org/W2079890733","https://openalex.org/W2084527378","https://openalex.org/W2148301044","https://openalex.org/W2157244454","https://openalex.org/W2161728228","https://openalex.org/W2186419387","https://openalex.org/W2295169085","https://openalex.org/W2377563491","https://openalex.org/W4243974290"],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W2323648130","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W4233308809","https://openalex.org/W2388988621","https://openalex.org/W2357797405","https://openalex.org/W2366623913","https://openalex.org/W2374905595","https://openalex.org/W2065261343"],"abstract_inverted_index":{"As":[0],"an":[1,125],"epidemic":[2],"mathematical":[3],"model,":[4],"the":[5,9,12,21,27,34,39,57,64,68,71,84,91,95,102,108,111,114,118,128,138,151,155,158,167,171,176,184,187,191,194,198],"SIR":[6,22,85,141,177],"model":[7,23,79,97,142,161,178],"represents":[8,56,63],"transition":[10],"of":[11,20,33,53,70,110,131,140,154,157,170,175,186,193],"Susceptible,":[13],"Infected,":[14],"and":[15,29,38,90,107,113,117,137,181,190,197],"Recovered.":[16],"The":[17,49,87,147,173],"profound":[18],"implication":[19],"is":[24,80,121,134,143],"viewed":[25],"as":[26],"propagation":[28,66],"dynamic":[30,77],"evolutionary":[31],"process":[32],"different":[35],"internal":[36],"components":[37],"characteristics":[40,169],"in":[41,67,163],"a":[42,75],"complex":[43],"system":[44],"subject":[45],"to":[46,101],"external":[47],"effect.":[48],"uniaxial":[50,159],"stress-strain":[51,78,160],"curve":[52],"engineering":[54],"material":[55],"basic":[58],"constitutive":[59],"relation,":[60],"which":[61],"also":[62],"damage":[65],"units":[69],"damaged":[72],"member.":[73],"Hence,":[74],"novel":[76],"established":[81],"based":[82],"on":[83,127],"model.":[86],"analytical":[88],"solution":[89,93,112,139,174],"approximate":[92],"for":[94,145],"proposed":[96,162],"are":[98],"represented":[99],"according":[100],"homotopy":[103],"analysis":[104],"method":[105],"(HAM),":[106],"relationship":[109],"size":[115,129,195],"effect":[116,130,196],"strain":[119,199],"rate":[120],"discussed.":[122],"In":[123],"addition,":[124],"experiment":[126],"confined":[132],"concrete":[133],"carried":[135],"out":[136],"suitable":[144],"simulation.":[146],"results":[148],"show":[149,183],"that":[150],"mechanical":[152,188],"mechanism":[153],"parameters":[156],"this":[164],"paper":[165],"reflects":[166],"actual":[168],"materials.":[172],"can":[179],"fully":[180],"accurately":[182],"change":[185],"performance":[189],"influence":[192],"rate.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
