{"id":"https://openalex.org/W2081394635","doi":"https://doi.org/10.1126/science.1156101","title":"Dislocation Mean Free Paths and Strain Hardening of Crystals","display_name":"Dislocation Mean Free Paths and Strain Hardening of Crystals","publication_year":2008,"publication_date":"2008-06-26","ids":{"openalex":"https://openalex.org/W2081394635","doi":"https://doi.org/10.1126/science.1156101","mag":"2081394635","pmid":"https://pubmed.ncbi.nlm.nih.gov/18583605"},"language":"en","primary_location":{"id":"doi:10.1126/science.1156101","doi":"https://doi.org/10.1126/science.1156101","is_oa":false,"landing_page_url":"https://doi.org/10.1126/science.1156101","pdf_url":null,"source":{"id":"https://openalex.org/S3880285","display_name":"Science","issn_l":"0036-8075","issn":["0036-8075","0193-4511","1095-9203"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315823","host_organization_name":"American Association for the Advancement of Science","host_organization_lineage":["https://openalex.org/P4310315823"],"host_organization_lineage_names":["American Association for the Advancement of Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"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/A5078762160","display_name":"Beno\u00eet Devincre","orcid":"https://orcid.org/0000-0002-1791-6985","observed_orcids":["https://orcid.org/0000-0002-1791-6985"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786","https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]},{"id":"https://openalex.org/I4210100753","display_name":"Laboratoire de M\u00e9canique des Sols, Structures et Mat\u00e9riaux","ror":"https://ror.org/0156gk772","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210100753"]},{"id":"https://openalex.org/I4210129767","display_name":"Laboratoire d'\u00c9tude des Microstructures","ror":"https://ror.org/03nqvpf75","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2801658355","https://openalex.org/I4210098836","https://openalex.org/I4210129767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Devincre","raw_affiliation_strings":["Laboratoire MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, France","Laboratoire d'Etude des Microstructures, Unite\u0301 Mixte de Recherche (UMR) 104 CNRS, CNRS\u2013Office National d'Etudes et de Recherches Ae\u0301rospatiales (ONERA), 20 Avenue de la Division Leclerc, BP 72, 92322 Chatillon Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786","https://openalex.org/I4210100753"]},{"raw_affiliation_string":"Laboratoire d'Etude des Microstructures, Unite\u0301 Mixte de Recherche (UMR) 104 CNRS, CNRS\u2013Office National d'Etudes et de Recherches Ae\u0301rospatiales (ONERA), 20 Avenue de la Division Leclerc, BP 72, 92322 Chatillon Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2801658355","https://openalex.org/I4210129767"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032372140","display_name":"Thierry P. Hoc","orcid":"https://orcid.org/0000-0001-7467-1462","observed_orcids":["https://orcid.org/0000-0001-7467-1462"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786","https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]},{"id":"https://openalex.org/I4210100753","display_name":"Laboratoire de M\u00e9canique des Sols, Structures et Mat\u00e9riaux","ror":"https://ror.org/0156gk772","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210100753"]},{"id":"https://openalex.org/I4210129767","display_name":"Laboratoire d'\u00c9tude des Microstructures","ror":"https://ror.org/03nqvpf75","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2801658355","https://openalex.org/I4210098836","https://openalex.org/I4210129767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Hoc","raw_affiliation_strings":["Laboratoire MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, France","Laboratoire d'Etude des Microstructures, Unite\u0301 Mixte de Recherche (UMR) 104 CNRS, CNRS\u2013Office National d'Etudes et de Recherches Ae\u0301rospatiales (ONERA), 20 Avenue de la Division Leclerc, BP 72, 92322 Chatillon Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786","https://openalex.org/I4210100753"]},{"raw_affiliation_string":"Laboratoire d'Etude des Microstructures, Unite\u0301 Mixte de Recherche (UMR) 104 CNRS, CNRS\u2013Office National d'Etudes et de Recherches Ae\u0301rospatiales (ONERA), 20 Avenue de la Division Leclerc, BP 72, 92322 Chatillon Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2801658355","https://openalex.org/I4210129767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071017348","display_name":"L.P. Kubin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786","https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]},{"id":"https://openalex.org/I4210100753","display_name":"Laboratoire de M\u00e9canique des Sols, Structures et Mat\u00e9riaux","ror":"https://ror.org/0156gk772","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210100753"]},{"id":"https://openalex.org/I4210129767","display_name":"Laboratoire d'\u00c9tude des Microstructures","ror":"https://ror.org/03nqvpf75","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2801658355","https://openalex.org/I4210098836","https://openalex.org/I4210129767"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Kubin","raw_affiliation_strings":["Laboratoire MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, France","Laboratoire d'Etude des Microstructures, Unite\u0301 Mixte de Recherche (UMR) 104 CNRS, CNRS\u2013Office National d'Etudes et de Recherches Ae\u0301rospatiales (ONERA), 20 Avenue de la Division Leclerc, BP 72, 92322 Chatillon Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786","https://openalex.org/I4210100753"]},{"raw_affiliation_string":"Laboratoire d'Etude des Microstructures, Unite\u0301 Mixte de Recherche (UMR) 104 CNRS, CNRS\u2013Office National d'Etudes et de Recherches Ae\u0301rospatiales (ONERA), 20 Avenue de la Division Leclerc, BP 72, 92322 Chatillon Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2801658355","https://openalex.org/I4210129767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071017348"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786","https://openalex.org/I2801658355","https://openalex.org/I4210100753","https://openalex.org/I4210129767"],"apc_list":null,"apc_paid":null,"fwci":9.0942,"has_fulltext":false,"cited_by_count":520,"citation_normalized_percentile":{"value":0.98722752,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"320","issue":"5884","first_page":"1745","last_page":"1748"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10204","display_name":"Microstructure and mechanical properties","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"}},"topics":[{"id":"https://openalex.org/T10204","display_name":"Microstructure and mechanical properties","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/T10592","display_name":"Fusion materials and technologies","score":0.000699999975040555,"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/T11201","display_name":"Metallurgy and Material Forming","score":0.0003000000142492354,"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/dislocation-mean-free-path","display_name":"dislocation mean free path","score":0.9639999866485596},{"id":"https://openalex.org/keywords/strain-hardening","display_name":"strain hardening","score":0.9990000128746033},{"id":"https://openalex.org/keywords/dislocation-dynamics","display_name":"dislocation dynamics","score":0.9070000052452087},{"id":"https://openalex.org/keywords/multiscale-modeling","display_name":"multiscale modeling","score":0.8740000128746033},{"id":"https://openalex.org/keywords/plastic-flow","display_name":"plastic flow","score":0.7720000147819519},{"id":"https://openalex.org/keywords/face-centered-cubic-crystals","display_name":"face-centered cubic crystals","score":0.9649999737739563},{"id":"https://openalex.org/keywords/deformation-curves","display_name":"deformation curves","score":0.8399999737739563},{"id":"https://openalex.org/keywords/crystal-plasticity","display_name":"crystal plasticity","score":0.7020000219345093}],"concepts":[{"id":"https://openalex.org/C159122135","wikidata":"https://www.wikidata.org/wiki/Q737571","display_name":"Dislocation","level":2,"score":0.7312649488449097},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.6296389698982239},{"id":"https://openalex.org/C44255700","wikidata":"https://www.wikidata.org/wiki/Q978423","display_name":"Hardening (computing)","level":3,"score":0.5533890724182129},{"id":"https://openalex.org/C81764414","wikidata":"https://www.wikidata.org/wiki/Q2805151","display_name":"Dislocation creep","level":3,"score":0.5417163968086243},{"id":"https://openalex.org/C156413551","wikidata":"https://www.wikidata.org/wiki/Q7621123","display_name":"Strain hardening exponent","level":2,"score":0.5307987332344055},{"id":"https://openalex.org/C168986899","wikidata":"https://www.wikidata.org/wiki/Q756307","display_name":"Mean free path","level":3,"score":0.5280773639678955},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4442979693412781},{"id":"https://openalex.org/C11135259","wikidata":"https://www.wikidata.org/wiki/Q2477027","display_name":"Length scale","level":2,"score":0.4408068060874939},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.38801276683807373},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37792375683784485},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.3761993944644928},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20163413882255554},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.16698729991912842},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.130620539188385},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09212863445281982},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.0},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1126/science.1156101","doi":"https://doi.org/10.1126/science.1156101","is_oa":false,"landing_page_url":"https://doi.org/10.1126/science.1156101","pdf_url":null,"source":{"id":"https://openalex.org/S3880285","display_name":"Science","issn_l":"0036-8075","issn":["0036-8075","0193-4511","1095-9203"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315823","host_organization_name":"American Association for the Advancement of Science","host_organization_lineage":["https://openalex.org/P4310315823"],"host_organization_lineage_names":["American Association for the Advancement of Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science","raw_type":"journal-article"},{"id":"pmid:18583605","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18583605","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science (New York, N.Y.)","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Sustainable cities and communities","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1566005603","https://openalex.org/W1625235292","https://openalex.org/W1679926335","https://openalex.org/W1997276296","https://openalex.org/W2001284922","https://openalex.org/W2039845560","https://openalex.org/W2046574357","https://openalex.org/W2047553514","https://openalex.org/W2056919777","https://openalex.org/W2067162315","https://openalex.org/W2072151447","https://openalex.org/W2073390704","https://openalex.org/W2098439624","https://openalex.org/W2160905483","https://openalex.org/W3099545970"],"related_works":["https://openalex.org/W2365046962","https://openalex.org/W630250959","https://openalex.org/W2392224777","https://openalex.org/W2093125532","https://openalex.org/W2003969250","https://openalex.org/W1982733385","https://openalex.org/W1565318994","https://openalex.org/W2784315174","https://openalex.org/W3098754821","https://openalex.org/W2057078122"],"abstract_inverted_index":{"Predicting":[0],"the":[1,19,38,65,71,83,91,95,108],"strain":[2],"hardening":[3],"properties":[4],"of":[5,21,28,58,67,75,85,94,99,104],"crystals":[6],"constitutes":[7],"a":[8,25,49,68,112],"long-standing":[9],"challenge":[10],"for":[11,90,115],"dislocation":[12,22,42],"theory.":[13],"The":[14,77],"main":[15],"difficulty":[16],"resides":[17],"in":[18],"integration":[20],"processes":[23],"through":[24,64],"wide":[26],"range":[27],"time":[29],"and":[30,55],"length":[31],"scales,":[32],"up":[33],"to":[34,47],"macroscopic":[35],"dimensions.":[36],"In":[37],"present":[39],"multiscale":[40],"approach,":[41],"dynamics":[43],"simulations":[44],"are":[45],"used":[46],"establish":[48],"dislocation-based":[50],"continuum":[51],"model":[52,78],"incorporating":[53],"discrete":[54],"intermittent":[56],"aspects":[57],"plastic":[59],"flow.":[60],"This":[61],"is":[62,79],"performed":[63],"modeling":[66],"key":[69],"quantity,":[70],"mean":[72],"free":[73],"path":[74],"dislocations.":[76],"then":[80],"integrated":[81],"at":[82],"scale":[84],"bulk":[86],"crystals,":[87],"which":[88],"allows":[89],"detailed":[92],"reproduction":[93],"complex":[96],"deformation":[97],"curves":[98],"face-centered":[100],"cubic":[101],"crystals.":[102],"Because":[103],"its":[105],"predictive":[106],"ability,":[107],"proposed":[109],"framework":[110],"has":[111],"large":[113],"potential":[114],"further":[116],"applications.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":32},{"year":2025,"cited_by_count":33},{"year":2024,"cited_by_count":36},{"year":2023,"cited_by_count":31},{"year":2022,"cited_by_count":37},{"year":2021,"cited_by_count":41},{"year":2020,"cited_by_count":29},{"year":2019,"cited_by_count":43},{"year":2018,"cited_by_count":29},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":26},{"year":2015,"cited_by_count":33},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":23},{"year":2012,"cited_by_count":24}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}