{"id":"https://openalex.org/W2093096966","doi":"https://doi.org/10.1155/2012/769132","title":"Analytical Solutions for Corrosion\u2010Induced Cohesive Concrete Cracking","display_name":"Analytical Solutions for Corrosion\u2010Induced Cohesive Concrete Cracking","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2093096966","doi":"https://doi.org/10.1155/2012/769132","mag":"2093096966"},"language":"en","primary_location":{"id":"doi:10.1155/2012/769132","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/769132","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/769132.pdf","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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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://downloads.hindawi.com/journals/jam/2012/769132.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113652400","display_name":"Hua-Peng Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I230604491","display_name":"California Maritime Academy","ror":"https://ror.org/051rrf637","country_code":"US","type":"education","lineage":["https://openalex.org/I230604491"]},{"id":"https://openalex.org/I55060895","display_name":"University of Greenwich","ror":"https://ror.org/00bmj0a71","country_code":"GB","type":"education","lineage":["https://openalex.org/I55060895"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Hua-Peng Chen","raw_affiliation_strings":["School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB, UK","School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB"],"affiliations":[{"raw_affiliation_string":"School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB, UK","institution_ids":["https://openalex.org/I55060895"]},{"raw_affiliation_string":"School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB","institution_ids":["https://openalex.org/I55060895","https://openalex.org/I230604491"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101942277","display_name":"Nan Xiao","orcid":"https://orcid.org/0009-0007-1948-5422"},"institutions":[{"id":"https://openalex.org/I230604491","display_name":"California Maritime Academy","ror":"https://ror.org/051rrf637","country_code":"US","type":"education","lineage":["https://openalex.org/I230604491"]},{"id":"https://openalex.org/I55060895","display_name":"University of Greenwich","ror":"https://ror.org/00bmj0a71","country_code":"GB","type":"education","lineage":["https://openalex.org/I55060895"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN","GB","US"],"is_corresponding":true,"raw_author_name":"Nan Xiao","raw_affiliation_strings":["College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China","School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB, UK","College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058","School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB"],"affiliations":[{"raw_affiliation_string":"College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB, UK","institution_ids":["https://openalex.org/I55060895"]},{"raw_affiliation_string":"College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Engineering, University of Greenwich, Chatham Maritime, Kent ME4 4TB","institution_ids":["https://openalex.org/I55060895","https://openalex.org/I230604491"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101942277"],"corresponding_institution_ids":["https://openalex.org/I230604491","https://openalex.org/I55060895","https://openalex.org/I76130692"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":3.5062,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91988268,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11850","display_name":"Concrete Corrosion and Durability","score":1.0,"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/T11850","display_name":"Concrete Corrosion and Durability","score":1.0,"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/T10310","display_name":"Corrosion Behavior and Inhibition","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.995199978351593,"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/materials-science","display_name":"Materials science","score":0.737428605556488},{"id":"https://openalex.org/keywords/cracking","display_name":"Cracking","score":0.6419422626495361},{"id":"https://openalex.org/keywords/concrete-cover","display_name":"Concrete cover","score":0.608655571937561},{"id":"https://openalex.org/keywords/ultimate-tensile-strength","display_name":"Ultimate tensile strength","score":0.5230528116226196},{"id":"https://openalex.org/keywords/corrosion","display_name":"Corrosion","score":0.5159924030303955},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.47899171710014343},{"id":"https://openalex.org/keywords/reinforced-solid","display_name":"Reinforced solid","score":0.4776923954486847},{"id":"https://openalex.org/keywords/rebar","display_name":"Rebar","score":0.4651869833469391},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.45196399092674255},{"id":"https://openalex.org/keywords/fracture-mechanics","display_name":"Fracture mechanics","score":0.4102896451950073},{"id":"https://openalex.org/keywords/reinforcement","display_name":"Reinforcement","score":0.2838827967643738},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1083638072013855}],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.737428605556488},{"id":"https://openalex.org/C58396970","wikidata":"https://www.wikidata.org/wiki/Q212749","display_name":"Cracking","level":2,"score":0.6419422626495361},{"id":"https://openalex.org/C2776136241","wikidata":"https://www.wikidata.org/wiki/Q831627","display_name":"Concrete cover","level":3,"score":0.608655571937561},{"id":"https://openalex.org/C112950240","wikidata":"https://www.wikidata.org/wiki/Q76005","display_name":"Ultimate tensile strength","level":2,"score":0.5230528116226196},{"id":"https://openalex.org/C20625102","wikidata":"https://www.wikidata.org/wiki/Q137056","display_name":"Corrosion","level":2,"score":0.5159924030303955},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.47899171710014343},{"id":"https://openalex.org/C118519418","wikidata":"https://www.wikidata.org/wiki/Q7310313","display_name":"Reinforced solid","level":3,"score":0.4776923954486847},{"id":"https://openalex.org/C2778664469","wikidata":"https://www.wikidata.org/wiki/Q150425","display_name":"Rebar","level":2,"score":0.4651869833469391},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.45196399092674255},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.4102896451950073},{"id":"https://openalex.org/C67203356","wikidata":"https://www.wikidata.org/wiki/Q1321905","display_name":"Reinforcement","level":2,"score":0.2838827967643738},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1083638072013855}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/769132","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/769132","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/769132.pdf","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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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/1355495017","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495017","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:769132","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/769132.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:b2b5680724614ab591b0566222698c45","is_oa":true,"landing_page_url":"https://doaj.org/article/b2b5680724614ab591b0566222698c45","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"},{"id":"pmh:oai:gala.gre.ac.uk:7645","is_oa":false,"landing_page_url":"http://gala.gre.ac.uk/id/eprint/7645/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401244","display_name":"Greenwich Academic Literature Archive (University of Greenwich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55060895","host_organization_name":"University of Greenwich","host_organization_lineage":["https://openalex.org/I55060895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1155/2012/769132","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/769132","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/769132.pdf","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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2093096966.pdf","grobid_xml":"https://content.openalex.org/works/W2093096966.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W970369416","https://openalex.org/W1528180634","https://openalex.org/W1894062346","https://openalex.org/W1972183656","https://openalex.org/W1972199988","https://openalex.org/W2010928911","https://openalex.org/W2013574567","https://openalex.org/W2038202929","https://openalex.org/W2048669913","https://openalex.org/W2062144478","https://openalex.org/W2071366435","https://openalex.org/W2075739118","https://openalex.org/W2075998185","https://openalex.org/W2080248208","https://openalex.org/W2082508622","https://openalex.org/W2087635104","https://openalex.org/W2090369194","https://openalex.org/W2118241055","https://openalex.org/W2127263720","https://openalex.org/W2462224230","https://openalex.org/W4237951456"],"related_works":["https://openalex.org/W1992975739","https://openalex.org/W2923106588","https://openalex.org/W4306377859","https://openalex.org/W3080988804","https://openalex.org/W4285293320","https://openalex.org/W2168449427","https://openalex.org/W2755963707","https://openalex.org/W3026850992","https://openalex.org/W2392122666","https://openalex.org/W2802896744"],"abstract_inverted_index":{"The":[0,23,117],"paper":[1],"presents":[2],"a":[3,15,33],"new":[4],"analytical":[5,96,168],"model":[6,70,142],"to":[7,37,69,130],"study":[8],"the":[9,27,42,60,71,76,85,94,110,128,141,154,160,167,175,185,192],"evolution":[10,111,161],"of":[11,112,119,140,162,187],"radial":[12,151],"cracking":[13,113,131],"around":[14],"corroding":[16,28],"steel":[17],"reinforcement":[18,188],"bar":[19],"embedded":[20],"in":[21,75,88,114],"concrete.":[22,78,116],"concrete":[24,56,65,90,133,164,193],"cover":[25,89,115,134,163],"for":[26,64,82,93,100],"rebar":[29],"is":[30,67,91,125,136],"modelled":[31],"as":[32],"thick\u2010walled":[34],"cylinder":[35],"subject":[36],"axisymmetrical":[38],"displacement":[39],"constraint":[40],"at":[41,106,153],"internal":[43],"boundary":[44],"generated":[45],"by":[46,172],"expansive":[47],"corrosion":[48,123,189],"products.":[49],"A":[50,79],"bilinear":[51],"softening":[52],"curve":[53],"reflecting":[54],"realistic":[55],"property,":[57],"together":[58],"with":[59,122,174,184],"crack":[61,86,101,120],"band":[62],"theory":[63],"fracture,":[66],"applied":[68],"residual":[72,144],"tensile":[73,145,148],"stress":[74],"cracked":[77],"governing":[80],"equation":[81],"directly":[83],"solving":[84],"width":[87,102],"established":[92],"proposed":[95],"model.":[97],"Closed\u2010form":[98],"solutions":[99],"are":[103,157,170,182],"then":[104],"obtained":[105],"various":[107],"stages":[108],"during":[109,159],"propagation":[118],"front":[121],"progress":[124,186],"studied,":[126],"and":[127,150,179,190],"time":[129],"on":[132],"surface":[135],"predicted.":[137],"Mechanical":[138],"parameters":[139,181],"including":[143],"strength,":[146],"reduced":[147],"stiffness,":[149],"pressure":[152],"bond":[155],"interface":[156],"investigated":[158],"cracking.":[165],"Finally,":[166],"predictions":[169],"examined":[171],"comparing":[173],"published":[176],"experimental":[177],"data,":[178],"mechanical":[180],"analysed":[183],"through":[191],"cover.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}